Noise-induced enhancement of chemical reactions in nonlinear flows

Chaos

Volumn 12, Issue 2, 2002, Pages 417-425

  Liu, Zonghua ^a   Lai, Ying Cheng ^a   Lopez, Juan M ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036592409     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1476948     Document Type: Article

References (87)

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5. Here we take the word "active" to mean that the number of particles advected by the flow can change, due to chemical reactions, rather than the often used meaning that the property being advected alters the advecting flow.
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24. Stochastic resonance was first reported in R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, LA53 (1981); R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, SIAM J. Appl. Math. 43, 565 (1983).
25. Stochastic resonance was first reported in R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, LA53 (1981); R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, SIAM J. Appl. Math. 43, 565 (1983).
26. Stochastic resonance is such an extensive field that even a partial list of the literature is prohibitive here. For review of stochastic resonance, see, for example, P. Jung, Phys. Rep. 234, 175 (1993); F. Moss, D. Pierson, and D. O'Gorman, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 1383 (1994); K. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995); L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998); references therein.
27. Stochastic resonance is such an extensive field that even a partial list of the literature is prohibitive here. For review of stochastic resonance, see, for example, P. Jung, Phys. Rep. 234, 175 (1993); F. Moss, D. Pierson, and D. O'Gorman, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 1383 (1994); K. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995); L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998); references therein.
28. Stochastic resonance is such an extensive field that even a partial list of the literature is prohibitive here. For review of stochastic resonance, see, for example, P. Jung, Phys. Rep. 234, 175 (1993); F. Moss, D. Pierson, and D. O'Gorman, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 1383 (1994); K. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995); L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998); references therein.
29. Stochastic resonance is such an extensive field that even a partial list of the literature is prohibitive here. For review of stochastic resonance, see, for example, P. Jung, Phys. Rep. 234, 175 (1993); F. Moss, D. Pierson, and D. O'Gorman, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 1383 (1994); K. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995); L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998); references therein.
30. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E. Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E. Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
31. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E. Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E. Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
32. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E. Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E. Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
33. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E. Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E. Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
34. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E. Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E. Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
35. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E. Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E. Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
36. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E. Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E. Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
37. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E. Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E. Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
38. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E. Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E. Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
39. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E. Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
40. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
41. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
42. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
43. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
44. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
45. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
46. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
47. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
48. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
49. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
50. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
51. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
52. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
53. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
54. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
55. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks,ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
56. Other representative papers include B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989); A. Longtin, A. Bulsara, and F. Moss, Phys. Rev. Lett. 67, 656 (1991); P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992); J.K. Douglass, L. Wilkens, E. Pantazelou, and E Moss, Nature (London) 365, 337 (1993); K. Wiesenfeld and F. Moss, ibid. 373, 33 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, ibid. 376, 236 (1995); J.J. Collins, C.C. Chow, and T.T. Imhoff, Phys. Rev. E 52, R3321 (1995); M.E. Inchiosa and A.R. Bulsara, ibid. 52, 327 (1995); C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, and M.C. Teich, ibid. 54, R2228 (1996); M.E. Inchiosa and A.R. Bulsara, ibid. 53, R2021 (1996); A.R. Bulsara and A. Zador, ibid. 54, R2185 (1996); M. Misono, T. Kohmoto, Y. Fukuda, and M. Kunitomo, ibid. 58, 5602 (1996); P.C. Gailey, A. Neiman, J.J. Collins, and E Moss, ibid. 79, 4701 (1997); F. Chapeau-Blondeau and X. Godivier, ibid. 55, 1478 (1997); A. Neiman, L. Schimansky-Geier, and F. Moss, ibid. 56, R9 (1997); M.E. Inchiosa, A.R. Bulsara, A.D. Hibbs, and B.R. Whitecotton, Phys. Rev. Lett. 80, 1381 (1998); D. Nozaki, J.J. Collins, and Y. Yamamoto, Phys. Rev. E 60, 4637 (1999); D.F. Russell, L.A. Wilkens and F. Moss, Nature (London) 402, 291 (1999); I. Goychuk and P. Hänggi, Phys. Rev. E 61, 4272 (2000); P. Hänggi, M.E. Inchiosa, D. Fogliatti, and A.R. Bulsara, ibid. 62, 6155 (2000); P.E. Greenwood, L.M. Ward, D.F. Russell, A. Neiman, and F. Moss, Phys. Rev. Lett. 84, 4773 (2000); M.E. Inchiosa, J.W.C. Robinson, and A.R. Bulsara, ibid. 85, 3369 (2000); N.G. Stocks, ibid. 84, 2310 (2000); I. Goychuk, Phys. Rev. E 64, 021909 (2001); N.G. Stocks and R. Mannella, ibid. 64, 030902 (2001); N.G. Stocks, ibid. 63, 041114 (2001); N.G. Stocks, Phys. Rev. A 279, 308 (2001).
57. Sigeti and Horsthemke were the first to observe that noise can be utilized to improve the temporal regularity of physical signals, a phenomenon which they called noise-induced frequency. See, D. Sigeti and W. Horsthemke, J. Stat. Phys. 54, 1217 (1989).
58. G. Hu, T. Ditzinger, C.Z. Ning, and H. Haken, Phys. Rev. Lett. 71, 807 (1993).
59. A.S. Pikovsky and J. Kurths, Phys. Rev. Lett. 78, 775 (1997).
60. Representative papers on coherence resonance include A. Neiman, P.I. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997); T. Ohira and Y. Sato, Phys. Rev. Lett. 82, 2811 (1999); A. Neiman, L. Schimansky-Geier, A. Cornell-Bell, and E. Moss, ibid. 83, 4896 (1999); J.R. Pradines, G.V. Osipov, and J.J. Collins, Phys. Rev. E 60, 6407 (1999); D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, ibid. 59, R3791 (1999); S.K. Hah, T.G. Yim, D.E. Postnov, and O.V. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); 61, 6103 (2000); B. Hu and C. Zhou, ibid. 61, R1001 (2000); G. Giacomelli, M. Giudici, S. Balle, and J.R. Tredicce, Phys. Rev. Lett. 84, 3298 (2000); Z. Liu and Y.-C. Lai, ibid. 86, 4737 (2001); Y.-C. Lai and Z. Liu, Phys. Rev. E 64, 066202 (2001).
61. Representative papers on coherence resonance include A. Neiman, P.I. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997); T. Ohira and Y. Sato, Phys. Rev. Lett. 82, 2811 (1999); A. Neiman, L. Schimansky-Geier, A. Cornell-Bell, and E. Moss, ibid. 83, 4896 (1999); J.R. Pradines, G.V. Osipov, and J.J. Collins, Phys. Rev. E 60, 6407 (1999); D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, ibid. 59, R3791 (1999); S.K. Hah, T.G. Yim, D.E. Postnov, and O.V. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); 61, 6103 (2000); B. Hu and C. Zhou, ibid. 61, R1001 (2000); G. Giacomelli, M. Giudici, S. Balle, and J.R. Tredicce, Phys. Rev. Lett. 84, 3298 (2000); Z. Liu and Y.-C. Lai, ibid. 86, 4737 (2001); Y.-C. Lai and Z. Liu, Phys. Rev. E 64, 066202 (2001).
62. Representative papers on coherence resonance include A. Neiman, P.I. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997); T. Ohira and Y. Sato, Phys. Rev. Lett. 82, 2811 (1999); A. Neiman, L. Schimansky-Geier, A. Cornell-Bell, and E. Moss, ibid. 83, 4896 (1999); J.R. Pradines, G.V. Osipov, and J.J. Collins, Phys. Rev. E 60, 6407 (1999); D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, ibid. 59, R3791 (1999); S.K. Hah, T.G. Yim, D.E. Postnov, and O.V. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); 61, 6103 (2000); B. Hu and C. Zhou, ibid. 61, R1001 (2000); G. Giacomelli, M. Giudici, S. Balle, and J.R. Tredicce, Phys. Rev. Lett. 84, 3298 (2000); Z. Liu and Y.-C. Lai, ibid. 86, 4737 (2001); Y.-C. Lai and Z. Liu, Phys. Rev. E 64, 066202 (2001).
63. Representative papers on coherence resonance include A. Neiman, P.I. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997); T. Ohira and Y. Sato, Phys. Rev. Lett. 82, 2811 (1999); A. Neiman, L. Schimansky-Geier, A. Cornell-Bell, and E. Moss, ibid. 83, 4896 (1999); J.R. Pradines, G.V. Osipov, and J.J. Collins, Phys. Rev. E 60, 6407 (1999); D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, ibid. 59, R3791 (1999); S.K. Hah, T.G. Yim, D.E. Postnov, and O.V. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); 61, 6103 (2000); B. Hu and C. Zhou, ibid. 61, R1001 (2000); G. Giacomelli, M. Giudici, S. Balle, and J.R. Tredicce, Phys. Rev. Lett. 84, 3298 (2000); Z. Liu and Y.-C. Lai, ibid. 86, 4737 (2001); Y.-C. Lai and Z. Liu, Phys. Rev. E 64, 066202 (2001).
64. Representative papers on coherence resonance include A. Neiman, P.I. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997); T. Ohira and Y. Sato, Phys. Rev. Lett. 82, 2811 (1999); A. Neiman, L. Schimansky-Geier, A. Cornell-Bell, and E. Moss, ibid. 83, 4896 (1999); J.R. Pradines, G.V. Osipov, and J.J. Collins, Phys. Rev. E 60, 6407 (1999); D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, ibid. 59, R3791 (1999); S.K. Hah, T.G. Yim, D.E. Postnov, and O.V. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); 61, 6103 (2000); B. Hu and C. Zhou, ibid. 61, R1001 (2000); G. Giacomelli, M. Giudici, S. Balle, and J.R.
65. Representative papers on coherence resonance include A. Neiman, P.I. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997); T. Ohira and Y. Sato, Phys. Rev. Lett. 82, 2811 (1999); A. Neiman, L. Schimansky-Geier, A. Cornell-Bell, and E. Moss, ibid. 83, 4896 (1999); J.R. Pradines, G.V. Osipov, and J.J. Collins, Phys. Rev. E 60, 6407 (1999); D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, ibid. 59, R3791 (1999); S.K. Hah, T.G. Yim, D.E. Postnov, and O.V. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); 61, 6103 (2000); B. Hu and C. Zhou, ibid. 61, R1001 (2000); G. Giacomelli, M. Giudici, S. Balle, and J.R. Tredicce, Phys. Rev. Lett. 84, 3298 (2000); Z. Liu and Y.-C. Lai, ibid. 86, 4737 (2001); Y.-C. Lai and Z. Liu, Phys. Rev. E 64, 066202 (2001).
66. Representative papers on coherence resonance include A. Neiman, P.I. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997); T. Ohira and Y. Sato, Phys. Rev. Lett. 82, 2811 (1999); A. Neiman, L. Schimansky-Geier, A. Cornell-Bell, and E. Moss, ibid. 83, 4896 (1999); J.R. Pradines, G.V. Osipov, and J.J. Collins, Phys. Rev. E 60, 6407 (1999); D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, ibid. 59, R3791 (1999); S.K. Hah, T.G. Yim, D.E. Postnov, and O.V. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); 61, 6103 (2000); B. Hu and C. Zhou, ibid. 61, R1001 (2000); G. Giacomelli, M. Giudici, S. Balle, and J.R. Tredicce, Phys. Rev. Lett. 84, 3298 (2000); Z. Liu and Y.-C. Lai, ibid. 86, 4737 (2001); Y.-C. Lai and Z. Liu, Phys. Rev. E 64, 066202 (2001).
67. Representative papers on coherence resonance include A. Neiman, P.I. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997); T. Ohira and Y. Sato, Phys. Rev. Lett. 82, 2811 (1999); A. Neiman, L. Schimansky-Geier, A. Cornell-Bell, and E. Moss, ibid. 83, 4896 (1999); J.R. Pradines, G.V. Osipov, and J.J. Collins, Phys. Rev. E 60, 6407 (1999); D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, ibid. 59, R3791 (1999); S.K. Hah, T.G. Yim, D.E. Postnov, and O.V. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); 61, 6103 (2000); B. Hu and C. Zhou, ibid. 61, R1001 (2000); G. Giacomelli, M. Giudici, S. Balle, and J.R. Tredicce, Phys. Rev. Lett. 84, 3298 (2000); Z. Liu and Y.-C. Lai, ibid. 86, 4737 (2001); Y.-C. Lai and Z. Liu, Phys. Rev. E 64, 066202 (2001).
68. Representative papers on coherence resonance include A. Neiman, P.I. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997); T. Ohira and Y. Sato, Phys. Rev. Lett. 82, 2811 (1999); A. Neiman, L. Schimansky-Geier, A. Cornell-Bell, and E. Moss, ibid. 83, 4896 (1999); J.R. Pradines, G.V. Osipov, and J.J. Collins, Phys. Rev. E 60, 6407 (1999); D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, ibid. 59, R3791 (1999); S.K. Hah, T.G. Yim, D.E. Postnov, and O.V. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); 61, 6103 (2000); B. Hu and C. Zhou, ibid. 61, R1001 (2000); G. Giacomelli, M. Giudici, S. Balle, and J.R. Tredicce, Phys. Rev. Lett. 84, 3298 (2000); Z. Liu and Y.-C. Lai, ibid. 86, 4737 (2001); Y.-C. Lai and Z. Liu, Phys. Rev. E 64, 066202 (2001).
69. Representative papers on coherence resonance include A. Neiman, P.I. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997); T. Ohira and Y. Sato, Phys. Rev. Lett. 82, 2811 (1999); A. Neiman, L. Schimansky-Geier, A. Cornell-Bell, and E. Moss, ibid. 83, 4896 (1999); J.R. Pradines, G.V. Osipov, and J.J. Collins, Phys. Rev. E 60, 6407 (1999); D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, ibid. 59, R3791 (1999); S.K. Hah, T.G. Yim, D.E. Postnov, and O.V. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); 61, 6103 (2000); B. Hu and C. Zhou, ibid. 61, R1001 (2000); G. Giacomelli, M. Giudici, S. Balle, and J.R. Tredicce, Phys. Rev. Lett. 84, 3298 (2000); Z. Liu and Y.-C. Lai, ibid. 86, 4737 (2001); Y.-C. Lai and Z. Liu, Phys. Rev. E 64, 066202 (2001).
70. Representative papers on coherence resonance include A. Neiman, P.I. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997); T. Ohira and Y. Sato, Phys. Rev. Lett. 82, 2811 (1999); A. Neiman, L. Schimansky-Geier, A. Cornell-Bell, and E. Moss, ibid. 83, 4896 (1999); J.R. Pradines, G.V. Osipov, and J.J. Collins, Phys. Rev. E 60, 6407 (1999); D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, ibid. 59, R3791 (1999); S.K. Hah, T.G. Yim, D.E. Postnov, and O.V. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); 61, 6103 (2000); B. Hu and C. Zhou, ibid. 61, R1001 (2000); G. Giacomelli, M. Giudici, S. Balle, and J.R. Tredicce, Phys. Rev. Lett. 84, 3298 (2000); Z. Liu and Y.-C. Lai, ibid. 86, 4737 (2001); Y.-C. Lai and Z. Liu, Phys. Rev. E 64, 066202 (2001).
71. Representative papers on coherence resonance include A. Neiman, P.I. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997); T. Ohira and Y. Sato, Phys. Rev. Lett. 82, 2811 (1999); A. Neiman, L. Schimansky-Geier, A. Cornell-Bell, and E. Moss, ibid. 83, 4896 (1999); J.R. Pradines, G.V. Osipov, and J.J. Collins, Phys. Rev. E 60, 6407 (1999); D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, ibid. 59, R3791 (1999); S.K. Hah, T.G. Yim, D.E. Postnov, and O.V. Sosnovtseva, Phys. Rev. Lett. 83, 1771 (1999); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999); 61, 6103 (2000); B. Hu and C. Zhou, ibid. 61, R1001 (2000); G. Giacomelli, M. Giudici, S. Balle, and J.R. Tredicce, Phys. Rev. Lett. 84, 3298 (2000); Z. Liu and Y.-C. Lai, ibid. 86, 4737 (2001); Y.-C. Lai and Z. Liu, Phys. Rev. E 64, 066202 (2001).
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