Linear response theory applied to stochastic resonance in models of ensembles of oscillators

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 1 SUPPL. A, 1997, Pages

  Neiman, Alexander ^a,b   Schirnansky Geier, Lutz ^c   Moss, Frank ^a  

^a UNIVERSITY OF MISSOURI ST LOUIS   (United States)

^b SARATOV STATE UNIVERSITY   (Russian Federation)

^c HUMBOLDT UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002353791     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.56.r9     Document Type: Article

References (33)

1. R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981); R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, Tellus 34, 10 (1982); C. Nicolis, ibid. 34, 1 (1982).
2. R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981); R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, Tellus 34, 10 (1982); C. Nicolis, ibid. 34, 1 (1982).
3. R. Benzi, A. Sutera, and A. Vulpiani, J. Phys. A 14, L453 (1981); R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, Tellus 34, 10 (1982); C. Nicolis, ibid. 34, 1 (1982).
4. Proceedings of the NATO Advanced Research Workshop on Stochastic Resonance in Physics and Biology, edited by F. Moss, A, Bulsara, and M. F. Shlesinger [J. Stat. Phys. 70 (1993)]; Proceedings of the International Workshop on Fluctuations in Physics and Biology: Stochastic Resonance, Signal Processing and Related Phenomena, edited by R. Manella and P. V. E. McClintock [Nuovo Cimento D 17 (1995)].
5. Proceedings of the NATO Advanced Research Workshop on Stochastic Resonance in Physics and Biology, edited by F. Moss, A, Bulsara, and M. F. Shlesinger [J. Stat. Phys. 70 (1993)]; Proceedings of the International Workshop on Fluctuations in Physics and Biology: Stochastic Resonance, Signal Processing and Related Phenomena, edited by R. Manella and P. V. E. McClintock [Nuovo Cimento D 17 (1995)].
6. Proceedings of the NATO Advanced Research Workshop on Stochastic Resonance in Physics and Biology, edited by F. Moss, A, Bulsara, and M. F. Shlesinger [J. Stat. Phys. 70 (1993)]; Proceedings of the International Workshop on Fluctuations in Physics and Biology: Stochastic Resonance, Signal Processing and Related Phenomena, edited by R. Manella and P. V. E. McClintock [Nuovo Cimento D 17 (1995)].
7. Proceedings of the NATO Advanced Research Workshop on Stochastic Resonance in Physics and Biology, edited by F. Moss, A, Bulsara, and M. F. Shlesinger [J. Stat. Phys. 70 (1993)]; Proceedings of the International Workshop on Fluctuations in Physics and Biology: Stochastic Resonance, Signal Processing and Related Phenomena, edited by R. Manella and P. V. E. McClintock [Nuovo Cimento D 17 (1995)].
8. F. Moss, in Some Contemporary Problems in Statistical Physics, edited by G. Weiss (SIAM, Philadelphia 1994), p. 205; F. Moss, D. Pierson, and D. O'Gorman, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 1383 (1994); D. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995); A. R. Bulsara and L. Gammaitoni, Phys. Today 49 (3), 39 (1996); a full bibliography can be found at WWW-cite http://www.pg.infn.it/sr/.
9. F. Moss, in Some Contemporary Problems in Statistical Physics, edited by G. Weiss (SIAM, Philadelphia 1994), p. 205; F. Moss, D. Pierson, and D. O'Gorman, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 1383 (1994); D. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995); A. R. Bulsara and L. Gammaitoni, Phys. Today 49 (3), 39 (1996); a full bibliography can be found at WWW-cite http://www.pg.infn.it/sr/.
10. F. Moss, in Some Contemporary Problems in Statistical Physics, edited by G. Weiss (SIAM, Philadelphia 1994), p. 205; F. Moss, D. Pierson, and D. O'Gorman, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 1383 (1994); D. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995); A. R. Bulsara and L. Gammaitoni, Phys. Today 49 (3), 39 (1996); a full bibliography can be found at WWW-cite http://www.pg.infn.it/sr/.
11. F. Moss, in Some Contemporary Problems in Statistical Physics, edited by G. Weiss (SIAM, Philadelphia 1994), p. 205; F. Moss, D. Pierson, and D. O'Gorman, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 1383 (1994); D. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995); A. R. Bulsara and L. Gammaitoni, Phys. Today 49 (3), 39 (1996); a full bibliography can be found at WWW-cite http://www.pg.infn.it/sr/.
12. V. Anishchenko, A. Neiman, M. Safonova, and I. Khovanov, in Chaos and Nonlinear Mechanics: Proceedings Euromech Colloquium, edited by T. Kapitaniak and J. Brindley, (World Scientific, Singapore, 1995), pp. 45-53; V. Anishchenko, M. Safonova, and L. O. Chua, Int. J. Bifurcation Chaos Appl. Set. Eng. 4, 441 (1194).
13. V. Anishchenko, A. Neiman, M. Safonova, and I. Khovanov, in Chaos and Nonlinear Mechanics: Proceedings Euromech Colloquium, edited by T. Kapitaniak and J. Brindley, (World Scientific, Singapore, 1995), pp. 45-53; V. Anishchenko, M. Safonova, and L. O. Chua, Int. J. Bifurcation Chaos Appl. Set. Eng. 4, 441 (1194).
14. P. Jung and P. Hänggi, Phys. Rev. A 44, 8032 (1991); P. Jung, Phys. Rep. 234, 175 (1995).
15. P. Jung and P. Hänggi, Phys. Rev. A 44, 8032 (1991); P. Jung, Phys. Rep. 234, 175 (1995).
16. A. Neiman and L. Schimansky-Geier. Phys. Rev. Lett. 72, 2988 (1994).
17. J. J. Collins, C. C. Chow, and T. T. Imhoff, Phys. Rev. E 52, R3321 (1995).
18. J. Linder, B. Meadows, W. Ditto, M. Inchiosa, and A. R. Bul-sara, Phys. Rev. Lett. 75, 3 (1995); M. Inchiosa and A. R. Bulsara, Phys. Rev. E 52, 327 (1995).
19. J. Linder, B. Meadows, W. Ditto, M. Inchiosa, and A. R. Bul-sara, Phys. Rev. Lett. 75, 3 (1995); M. Inchiosa and A. R. Bulsara, Phys. Rev. E 52, 327 (1995).
20. P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992).
21. A. Neiman and L. Schimansky-Geier, Phys. Lett. A 197, 379 (1995).
22. L. Schimansky-Geier and U. Siewert, in Stochastic Dynamics, edited by L. Schimansky-Geier and T. Pöschel (Springer, Berlin, 1997).
23. E. Pantazelou, F. Moss, and D. Chialvo, in Noise in Physical Systems and 1/f Fluctuations, edited by P. Handel and A. Chung, AIP Conf. Proc. No. 285 (AIP Press, New York, 1993), pp. 549-552.
24. J. J. Collins, C. C. Chow, and T. T. Imhoff, Nature (London) 376, 236 (1995).
25. D. R. Chivalo, A. Longtin, and J. Müller-Gerking, Phys. Rev. E 55, 1798 (1997).
26. P. Hänggi and H. Thomas, Phys. Rep. 88, 207 (1982); M. I. Dykman, R. Mannella, P. V. E. McClintock, and N. G. Stocks, Phys. Rev. Lett. 65, 2606 (1990); M. I. Dykman, R. Mannella, P. V. E. McClintock, and N. G. Stocks, Pis'ma Zh. Eksp. Teor. Fiz. 52, 780, (1990) [JETP Lett. 52, 144 (1990)].
27. P. Hänggi and H. Thomas, Phys. Rep. 88, 207 (1982); M. I. Dykman, R. Mannella, P. V. E. McClintock, and N. G. Stocks, Phys. Rev. Lett. 65, 2606 (1990); M. I. Dykman, R. Mannella, P. V. E. McClintock, and N. G. Stocks, Pis'ma Zh. Eksp. Teor. Fiz. 52, 780, (1990) [JETP Lett. 52, 144 (1990)].
28. P. Hänggi and H. Thomas, Phys. Rep. 88, 207 (1982); M. I. Dykman, R. Mannella, P. V. E. McClintock, and N. G. Stocks, Phys. Rev. Lett. 65, 2606 (1990); M. I. Dykman, R. Mannella, P. V. E. McClintock, and N. G. Stocks, Pis'ma Zh. Eksp. Teor. Fiz. 52, 780, (1990) [JETP Lett. 52, 144 (1990)].
29. P. Hänggi and H. Thomas, Phys. Rep. 88, 207 (1982); M. I. Dykman, R. Mannella, P. V. E. McClintock, and N. G. Stocks, Phys. Rev. Lett. 65, 2606 (1990); M. I. Dykman, R. Mannella, P. V. E. McClintock, and N. G. Stocks, Pis'ma Zh. Eksp. Teor. Fiz. 52, 780, (1990) [JETP Lett. 52, 144 (1990)].
30. M. I. Dykman, D. G. Luchinsky, R. Manella, P. V. E. McClintock, N. D. Stein, and N. G. Stocks, Nuovo Cimento D 17, 661 (1995).
31. J. S. Bendat and A. G. Piersol. Random Data (John Wiley & Sons, New York, 1986).
32. A. Neiman, Phys. Rev. E 49, 3484 (1994).
33. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990).