메뉴 건너뛰기




Volumn 65, Issue 5, 2002, Pages

Trichotomous-noise-induced catastrophic shifts in symbiotic ecosystems

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; MARKOV PROCESSES; MATHEMATICAL MODELS; PHASE TRANSITIONS; PROBABILITY; PROBLEM SOLVING;

EID: 41349105879     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.051108     Document Type: Article
Times cited : (46)

References (52)
  • 1
    • 0004160653 scopus 로고
    • Academic Press, London
    • N.S. Goel and N. Richter-Dyn, Stochastic Models in Biology (Academic Press, London, 1974); Advanced Ecological Theory, edited by J. McGlade (Blackwell Science, London, 1999); J.D. Murray, Mathematical Biology (Springer-Verlag, Berlin, 1993); S.A. Levin, B. Grenfell, A. Hastings, and A.S. Perelson, Science 275, 334 (1997).
    • (1974) Stochastic Models in Biology
    • Goel, N.S.1    Richter-Dyn, N.2
  • 2
    • 0003636059 scopus 로고    scopus 로고
    • Blackwell Science, London
    • N.S. Goel and N. Richter-Dyn, Stochastic Models in Biology (Academic Press, London, 1974); Advanced Ecological Theory, edited by J. McGlade (Blackwell Science, London, 1999); J.D. Murray, Mathematical Biology (Springer-Verlag, Berlin, 1993); S.A. Levin, B. Grenfell, A. Hastings, and A.S. Perelson, Science 275, 334 (1997).
    • (1999) Advanced Ecological Theory
    • McGlade, J.1
  • 3
    • 0003475470 scopus 로고
    • Springer-Verlag, Berlin
    • N.S. Goel and N. Richter-Dyn, Stochastic Models in Biology (Academic Press, London, 1974); Advanced Ecological Theory, edited by J. McGlade (Blackwell Science, London, 1999); J.D. Murray, Mathematical Biology (Springer-Verlag, Berlin, 1993); S.A. Levin, B. Grenfell, A. Hastings, and A.S. Perelson, Science 275, 334 (1997).
    • (1993) Mathematical Biology
    • Murray, J.D.1
  • 4
    • 0030620646 scopus 로고    scopus 로고
    • N.S. Goel and N. Richter-Dyn, Stochastic Models in Biology (Academic Press, London, 1974); Advanced Ecological Theory, edited by J. McGlade (Blackwell Science, London, 1999); J.D. Murray, Mathematical Biology (Springer-Verlag, Berlin, 1993); S.A. Levin, B. Grenfell, A. Hastings, and A.S. Perelson, Science 275, 334 (1997).
    • (1997) Science , vol.275 , pp. 334
    • Levin, S.A.1    Grenfell, B.2    Hastings, A.3    Perelson, A.S.4
  • 6
    • 0015514970 scopus 로고
    • G. Abramson and D.H. Zanette, Phys. Rev. E 57, 4572 (1998); R. May, Nature (London) 238, 413 (1972).
    • (1972) Nature (London) , vol.238 , pp. 413
    • May, R.1
  • 9
    • 0027838970 scopus 로고    scopus 로고
    • M. Scheffer, S.H. Hosper, M.L. Meijer, and B. Moss, Trends Ecol. Evol. 8, 275 (1993); J. Van de Koppel, M. Rietkerk, and F.J. Weissing, ibid. 12, 352 (1997); M. Nystrom, C. Folke, and F. Moberg, ibid. 15, 413 (2000); S.R. Carpenter, in Ecology: Achievements and Challenge, edited by M.C. Press, N. Huntly, and S. Levin (Blackwell, London, 2001).
    • (1993) Trends Ecol. Evol. , vol.8 , pp. 275
    • Scheffer, M.1    Hosper, S.H.2    Meijer, M.L.3    Moss, B.4
  • 10
    • 0031285083 scopus 로고    scopus 로고
    • M. Scheffer, S.H. Hosper, M.L. Meijer, and B. Moss, Trends Ecol. Evol. 8, 275 (1993); J. Van de Koppel, M. Rietkerk, and F.J. Weissing, ibid. 12, 352 (1997); M. Nystrom, C. Folke, and F. Moberg, ibid. 15, 413 (2000); S.R. Carpenter, in Ecology: Achievements and Challenge, edited by M.C. Press, N. Huntly, and S. Levin (Blackwell, London, 2001).
    • (1997) Trends Ecol. Evol. , vol.12 , pp. 352
    • Van De Koppel, J.1    Rietkerk, M.2    Weissing, F.J.3
  • 11
    • 0033802113 scopus 로고    scopus 로고
    • M. Scheffer, S.H. Hosper, M.L. Meijer, and B. Moss, Trends Ecol. Evol. 8, 275 (1993); J. Van de Koppel, M. Rietkerk, and F.J. Weissing, ibid. 12, 352 (1997); M. Nystrom, C. Folke, and F. Moberg, ibid. 15, 413 (2000); S.R. Carpenter, in Ecology: Achievements and Challenge, edited by M.C. Press, N. Huntly, and S. Levin (Blackwell, London, 2001).
    • (2000) Trends Ecol. Evol. , vol.15 , pp. 413
    • Nystrom, M.1    Folke, C.2    Moberg, F.3
  • 12
    • 0027838970 scopus 로고    scopus 로고
    • edited by M.C. Press, N. Huntly, and S. Levin (Blackwell, London)
    • M. Scheffer, S.H. Hosper, M.L. Meijer, and B. Moss, Trends Ecol. Evol. 8, 275 (1993); J. Van de Koppel, M. Rietkerk, and F.J. Weissing, ibid. 12, 352 (1997); M. Nystrom, C. Folke, and F. Moberg, ibid. 15, 413 (2000); S.R. Carpenter, in Ecology: Achievements and Challenge, edited by M.C. Press, N. Huntly, and S. Levin (Blackwell, London, 2001).
    • (2001) Ecology: Achievements and Challenge
    • Carpenter, S.R.1
  • 13
    • 0000890960 scopus 로고
    • R.M. May, Nature (London) 269, 471 (1977); S. Rinaldi and M. Scheffer, Ecosystems 3, 507 (2000); A.F. Rozenfeld, C.J. Tessone, E. Albano, and H.S. Wio, Phys. Lett. A 280, 45 (2001); M. Pascual and H. Caswell, J. Theor. Biol. 185, 1 (1997); T. Antal and M. Droz, Phys. Rev. E 63, 056119 (2001); G. Abramson, ibid. 55, 785 (1997).
    • (1977) Nature (London) , vol.269 , pp. 471
    • May, R.M.1
  • 14
    • 0034493093 scopus 로고    scopus 로고
    • R.M. May, Nature (London) 269, 471 (1977); S. Rinaldi and M. Scheffer, Ecosystems 3, 507 (2000); A.F. Rozenfeld, C.J. Tessone, E. Albano, and H.S. Wio, Phys. Lett. A 280, 45 (2001); M. Pascual and H. Caswell, J. Theor. Biol. 185, 1 (1997); T. Antal and M. Droz, Phys. Rev. E 63, 056119 (2001); G. Abramson, ibid. 55, 785 (1997).
    • (2000) Ecosystems , vol.3 , pp. 507
    • Rinaldi, S.1    Scheffer, M.2
  • 15
    • 0035847473 scopus 로고    scopus 로고
    • R.M. May, Nature (London) 269, 471 (1977); S. Rinaldi and M. Scheffer, Ecosystems 3, 507 (2000); A.F. Rozenfeld, C.J. Tessone, E. Albano, and H.S. Wio, Phys. Lett. A 280, 45 (2001); M. Pascual and H. Caswell, J. Theor. Biol. 185, 1 (1997); T. Antal and M. Droz, Phys. Rev. E 63, 056119 (2001); G. Abramson, ibid. 55, 785 (1997).
    • (2001) Phys. Lett. A , vol.280 , pp. 45
    • Rozenfeld, A.F.1    Tessone, C.J.2    Albano, E.3    Wio, H.S.4
  • 16
    • 0031557384 scopus 로고    scopus 로고
    • R.M. May, Nature (London) 269, 471 (1977); S. Rinaldi and M. Scheffer, Ecosystems 3, 507 (2000); A.F. Rozenfeld, C.J. Tessone, E. Albano, and H.S. Wio, Phys. Lett. A 280, 45 (2001); M. Pascual and H. Caswell, J. Theor. Biol. 185, 1 (1997); T. Antal and M. Droz, Phys. Rev. E 63, 056119 (2001); G. Abramson, ibid. 55, 785 (1997).
    • (1997) J. Theor. Biol. , vol.185 , pp. 1
    • Pascual, M.1    Caswell, H.2
  • 17
    • 0035333375 scopus 로고    scopus 로고
    • R.M. May, Nature (London) 269, 471 (1977); S. Rinaldi and M. Scheffer, Ecosystems 3, 507 (2000); A.F. Rozenfeld, C.J. Tessone, E. Albano, and H.S. Wio, Phys. Lett. A 280, 45 (2001); M. Pascual and H. Caswell, J. Theor. Biol. 185, 1 (1997); T. Antal and M. Droz, Phys. Rev. E 63, 056119 (2001); G. Abramson, ibid. 55, 785 (1997).
    • (2001) Phys. Rev. E , vol.63 , pp. 056119
    • Antal, T.1    Droz, M.2
  • 18
    • 0000372112 scopus 로고    scopus 로고
    • R.M. May, Nature (London) 269, 471 (1977); S. Rinaldi and M. Scheffer, Ecosystems 3, 507 (2000); A.F. Rozenfeld, C.J. Tessone, E. Albano, and H.S. Wio, Phys. Lett. A 280, 45 (2001); M. Pascual and H. Caswell, J. Theor. Biol. 185, 1 (1997); T. Antal and M. Droz, Phys. Rev. E 63, 056119 (2001); G. Abramson, ibid. 55, 785 (1997).
    • (1997) Phys. Rev. E , vol.55 , pp. 785
    • Abramson, G.1
  • 23
    • 0030411203 scopus 로고    scopus 로고
    • O.L. Petchey, A. Gonzalez, and H.B. Wilson, Proc. R. Soc. London, Ser. B 264, 1841 (1997); J. Ripa and P. Lundberg, ibid. 263, 1751 (1996); H. Caswell and J.E. Cohen, J. Theor. Biol. 176, 301 (1995).
    • (1996) Proc. R. Soc. London, Ser. B , vol.263 , pp. 1751
    • Ripa, J.1    Lundberg, P.2
  • 24
    • 0028971661 scopus 로고
    • O.L. Petchey, A. Gonzalez, and H.B. Wilson, Proc. R. Soc. London, Ser. B 264, 1841 (1997); J. Ripa and P. Lundberg, ibid. 263, 1751 (1996); H. Caswell and J.E. Cohen, J. Theor. Biol. 176, 301 (1995).
    • (1995) J. Theor. Biol. , vol.176 , pp. 301
    • Caswell, H.1    Cohen, J.E.2
  • 27
    • 0043117148 scopus 로고
    • F. Jülicher and J. Prost, Phys. Rev. Lett. 75, 2618 (1995); S. Kim, S.H. Park, and C.S. Ryu, ibid. 78, 1616 (1997); P. Reimann, R. Kawai, C. Van den Broeck, and P. Hänggi, Europhys. Lett. 45, 545 (1999); S.E. Mangioni, R.R. Deza, and H.S. Wio, Phys. Rev. E 63, 041115 (2001); J.H. Li and P. Hänggi, Ibid. 64, 011106 (2001); H. Busch, M.-Th. Hürt, and F. Kaiser, ibid. 64, 021105 (2001).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 2618
    • Jülicher, F.1    Prost, J.2
  • 28
    • 0001254449 scopus 로고    scopus 로고
    • F. Jülicher and J. Prost, Phys. Rev. Lett. 75, 2618 (1995); S. Kim, S.H. Park, and C.S. Ryu, ibid. 78, 1616 (1997); P. Reimann, R. Kawai, C. Van den Broeck, and P. Hänggi, Europhys. Lett. 45, 545 (1999); S.E. Mangioni, R.R. Deza, and H.S. Wio, Phys. Rev. E 63, 041115 (2001); J.H. Li and P. Hänggi, Ibid. 64, 011106 (2001); H. Busch, M.-Th. Hürt, and F. Kaiser, ibid. 64, 021105 (2001).
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 1616
    • Kim, S.1    Park, S.H.2    Ryu, C.S.3
  • 29
    • 0033096518 scopus 로고    scopus 로고
    • F. Jülicher and J. Prost, Phys. Rev. Lett. 75, 2618 (1995); S. Kim, S.H. Park, and C.S. Ryu, ibid. 78, 1616 (1997); P. Reimann, R. Kawai, C. Van den Broeck, and P. Hänggi, Europhys. Lett. 45, 545 (1999); S.E. Mangioni, R.R. Deza, and H.S. Wio, Phys. Rev. E 63, 041115 (2001); J.H. Li and P. Hänggi, Ibid. 64, 011106 (2001); H. Busch, M.-Th. Hürt, and F. Kaiser, ibid. 64, 021105 (2001).
    • (1999) Europhys. Lett. , vol.45 , pp. 545
    • Reimann, P.1    Kawai, R.2    Van Den Broeck, C.3    Hänggi, P.4
  • 30
    • 4244158499 scopus 로고    scopus 로고
    • F. Jülicher and J. Prost, Phys. Rev. Lett. 75, 2618 (1995); S. Kim, S.H. Park, and C.S. Ryu, ibid. 78, 1616 (1997); P. Reimann, R. Kawai, C. Van den Broeck, and P. Hänggi, Europhys. Lett. 45, 545 (1999); S.E. Mangioni, R.R. Deza, and H.S. Wio, Phys. Rev. E 63, 041115 (2001); J.H. Li and P. Hänggi, Ibid. 64, 011106 (2001); H. Busch, M.-Th. Hürt, and F. Kaiser, ibid. 64, 021105 (2001).
    • (2001) Phys. Rev. E , vol.63 , pp. 041115
    • Mangioni, S.E.1    Deza, R.R.2    Wio, H.S.3
  • 31
    • 0035395936 scopus 로고    scopus 로고
    • F. Jülicher and J. Prost, Phys. Rev. Lett. 75, 2618 (1995); S. Kim, S.H. Park, and C.S. Ryu, ibid. 78, 1616 (1997); P. Reimann, R. Kawai, C. Van den Broeck, and P. Hänggi, Europhys. Lett. 45, 545 (1999); S.E. Mangioni, R.R. Deza, and H.S. Wio, Phys. Rev. E 63, 041115 (2001); J.H. Li and P. Hänggi, Ibid. 64, 011106 (2001); H. Busch, M.-Th. Hürt, and F. Kaiser, ibid. 64, 021105 (2001).
    • (2001) Phys. Rev. E , vol.64 , pp. 011106
    • Li, J.H.1    Hänggi, P.2
  • 32
    • 0035419742 scopus 로고    scopus 로고
    • F. Jülicher and J. Prost, Phys. Rev. Lett. 75, 2618 (1995); S. Kim, S.H. Park, and C.S. Ryu, ibid. 78, 1616 (1997); P. Reimann, R. Kawai, C. Van den Broeck, and P. Hänggi, Europhys. Lett. 45, 545 (1999); S.E. Mangioni, R.R. Deza, and H.S. Wio, Phys. Rev. E 63, 041115 (2001); J.H. Li and P. Hänggi, Ibid. 64, 011106 (2001); H. Busch, M.-Th. Hürt, and F. Kaiser, ibid. 64, 021105 (2001).
    • (2001) Phys. Rev. E , vol.64 , pp. 021105
    • Busch, H.1    Hürt, M.-Th.2    Kaiser, F.3
  • 33
    • 0001523853 scopus 로고    scopus 로고
    • S. Mangioni, R. Deza, H.S. Wio, and R. Toral, Phys. Rev. Lett. 79, 2389 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 87, 020601 (2001); M. Marsili and A.J. Bray, ibid. 76, 2750 (1996); J.M. Schwarz and D.S. Fisher, ibid. 87, 096107 (2001); A.A. Zaikin, J. García-Ojalvo, and L. Schimansky-Geier, Phys. Rev. E 60, R6275 (1999); H. Hinrichsen, R. Livi, D. Mukamel, and A. Politi, ibid 61, R1032 (2000); W. Genovese, M.A. Muñoz, and J.M. Sancho, ibid. 57, R2495 (1998); C. Van den Broeck, J.M.R. Parrondo, R. Toral, and R. Kawai, ibid. 55, 4084 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 60, 3597 (1999); L. Giada and M. Marsili, ibid. 62, 6015 (2000).
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 2389
    • Mangioni, S.1    Deza, R.2    Wio, H.S.3    Toral, R.4
  • 34
    • 42749103736 scopus 로고    scopus 로고
    • S. Mangioni, R. Deza, H.S. Wio, and R. Toral, Phys. Rev. Lett. 79, 2389 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 87, 020601 (2001); M. Marsili and A.J. Bray, ibid. 76, 2750 (1996); J.M. Schwarz and D.S. Fisher, ibid. 87, 096107 (2001); A.A. Zaikin, J. García-Ojalvo, and L. Schimansky-Geier, Phys. Rev. E 60, R6275 (1999); H. Hinrichsen, R. Livi, D. Mukamel, and A. Politi, ibid 61, R1032 (2000); W. Genovese, M.A. Muñoz, and J.M. Sancho, ibid. 57, R2495 (1998); C. Van den Broeck, J.M.R. Parrondo, R. Toral, and R. Kawai, ibid. 55, 4084 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 60, 3597 (1999); L. Giada and M. Marsili, ibid. 62, 6015 (2000).
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 020601
    • Ibañes, M.1    García-Ojalvo, J.2    Toral, R.3    Sancho, J.M.4
  • 35
    • 3342942097 scopus 로고    scopus 로고
    • S. Mangioni, R. Deza, H.S. Wio, and R. Toral, Phys. Rev. Lett. 79, 2389 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 87, 020601 (2001); M. Marsili and A.J. Bray, ibid. 76, 2750 (1996); J.M. Schwarz and D.S. Fisher, ibid. 87, 096107 (2001); A.A. Zaikin, J. García-Ojalvo, and L. Schimansky-Geier, Phys. Rev. E 60, R6275 (1999); H. Hinrichsen, R. Livi, D. Mukamel, and A. Politi, ibid 61, R1032 (2000); W. Genovese, M.A. Muñoz, and J.M. Sancho, ibid. 57, R2495 (1998); C. Van den Broeck, J.M.R. Parrondo, R. Toral, and R. Kawai, ibid. 55, 4084 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 60, 3597 (1999); L. Giada and M. Marsili, ibid. 62, 6015 (2000).
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 2750
    • Marsili, M.1    Bray, A.J.2
  • 36
    • 0035959122 scopus 로고    scopus 로고
    • S. Mangioni, R. Deza, H.S. Wio, and R. Toral, Phys. Rev. Lett. 79, 2389 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 87, 020601 (2001); M. Marsili and A.J. Bray, ibid. 76, 2750 (1996); J.M. Schwarz and D.S. Fisher, ibid. 87, 096107 (2001); A.A. Zaikin, J. García-Ojalvo, and L. Schimansky-Geier, Phys. Rev. E 60, R6275 (1999); H. Hinrichsen, R. Livi, D. Mukamel, and A. Politi, ibid 61, R1032 (2000); W. Genovese, M.A. Muñoz, and J.M. Sancho, ibid. 57, R2495 (1998); C. Van den Broeck, J.M.R. Parrondo, R. Toral, and R. Kawai, ibid. 55, 4084 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 60, 3597 (1999); L. Giada and M. Marsili, ibid. 62, 6015 (2000).
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 096107
    • Schwarz, J.M.1    Fisher, D.S.2
  • 37
    • 0000117505 scopus 로고    scopus 로고
    • S. Mangioni, R. Deza, H.S. Wio, and R. Toral, Phys. Rev. Lett. 79, 2389 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 87, 020601 (2001); M. Marsili and A.J. Bray, ibid. 76, 2750 (1996); J.M. Schwarz and D.S. Fisher, ibid. 87, 096107 (2001); A.A. Zaikin, J. García-Ojalvo, and L. Schimansky-Geier, Phys. Rev. E 60, R6275 (1999); H. Hinrichsen, R. Livi, D. Mukamel, and A. Politi, ibid 61, R1032 (2000); W. Genovese, M.A. Muñoz, and J.M. Sancho, ibid. 57, R2495 (1998); C. Van den Broeck, J.M.R. Parrondo, R. Toral, and R. Kawai, ibid. 55, 4084 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 60, 3597 (1999); L. Giada and M. Marsili, ibid. 62, 6015 (2000).
    • (1999) Phys. Rev. E , vol.60
    • Zaikin, A.A.1    García-Ojalvo, J.2    Schimansky-Geier, L.3
  • 38
    • 0001377471 scopus 로고    scopus 로고
    • S. Mangioni, R. Deza, H.S. Wio, and R. Toral, Phys. Rev. Lett. 79, 2389 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 87, 020601 (2001); M. Marsili and A.J. Bray, ibid. 76, 2750 (1996); J.M. Schwarz and D.S. Fisher, ibid. 87, 096107 (2001); A.A. Zaikin, J. García-Ojalvo, and L. Schimansky-Geier, Phys. Rev. E 60, R6275 (1999); H. Hinrichsen, R. Livi, D. Mukamel, and A. Politi, ibid 61, R1032 (2000); W. Genovese, M.A. Muñoz, and J.M. Sancho, ibid. 57, R2495 (1998); C. Van den Broeck, J.M.R. Parrondo, R. Toral, and R. Kawai, ibid. 55, 4084 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 60, 3597 (1999); L. Giada and M. Marsili, ibid. 62, 6015 (2000).
    • (2000) Phys. Rev. E , vol.61
    • Hinrichsen, H.1    Livi, R.2    Mukamel, D.3    Politi, A.4
  • 39
    • 0000836743 scopus 로고    scopus 로고
    • S. Mangioni, R. Deza, H.S. Wio, and R. Toral, Phys. Rev. Lett. 79, 2389 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 87, 020601 (2001); M. Marsili and A.J. Bray, ibid. 76, 2750 (1996); J.M. Schwarz and D.S. Fisher, ibid. 87, 096107 (2001); A.A. Zaikin, J. García-Ojalvo, and L. Schimansky-Geier, Phys. Rev. E 60, R6275 (1999); H. Hinrichsen, R. Livi, D. Mukamel, and A. Politi, ibid 61, R1032 (2000); W. Genovese, M.A. Muñoz, and J.M. Sancho, ibid. 57, R2495 (1998); C. Van den Broeck, J.M.R. Parrondo, R. Toral, and R. Kawai, ibid. 55, 4084 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 60, 3597 (1999); L. Giada and M. Marsili, ibid. 62, 6015 (2000).
    • (1998) Phys. Rev. E , vol.57
    • Genovese, W.1    Muñoz, M.A.2    Sancho, J.M.3
  • 40
    • 0000257575 scopus 로고    scopus 로고
    • S. Mangioni, R. Deza, H.S. Wio, and R. Toral, Phys. Rev. Lett. 79, 2389 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 87, 020601 (2001); M. Marsili and A.J. Bray, ibid. 76, 2750 (1996); J.M. Schwarz and D.S. Fisher, ibid. 87, 096107 (2001); A.A. Zaikin, J. García-Ojalvo, and L. Schimansky-Geier, Phys. Rev. E 60, R6275 (1999); H. Hinrichsen, R. Livi, D. Mukamel, and A. Politi, ibid 61, R1032 (2000); W. Genovese, M.A. Muñoz, and J.M. Sancho, ibid. 57, R2495 (1998); C. Van den Broeck, J.M.R. Parrondo, R. Toral, and R. Kawai, ibid. 55, 4084 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 60, 3597 (1999); L. Giada and M. Marsili, ibid. 62, 6015 (2000).
    • (1997) Phys. Rev. E , vol.55 , pp. 4084
    • Van Den Broeck, C.1    Parrondo, J.M.R.2    Toral, R.3    Kawai, R.4
  • 41
    • 0042586143 scopus 로고    scopus 로고
    • S. Mangioni, R. Deza, H.S. Wio, and R. Toral, Phys. Rev. Lett. 79, 2389 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 87, 020601 (2001); M. Marsili and A.J. Bray, ibid. 76, 2750 (1996); J.M. Schwarz and D.S. Fisher, ibid. 87, 096107 (2001); A.A. Zaikin, J. García-Ojalvo, and L. Schimansky-Geier, Phys. Rev. E 60, R6275 (1999); H. Hinrichsen, R. Livi, D. Mukamel, and A. Politi, ibid 61, R1032 (2000); W. Genovese, M.A. Muñoz, and J.M. Sancho, ibid. 57, R2495 (1998); C. Van den Broeck, J.M.R. Parrondo, R. Toral, and R. Kawai, ibid. 55, 4084 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 60, 3597 (1999); L. Giada and M. Marsili, ibid. 62, 6015 (2000).
    • (1999) Phys. Rev. E , vol.60 , pp. 3597
    • Ibañes, M.1    García-Ojalvo, J.2    Toral, R.3    Sancho, J.M.4
  • 42
    • 0034316898 scopus 로고    scopus 로고
    • S. Mangioni, R. Deza, H.S. Wio, and R. Toral, Phys. Rev. Lett. 79, 2389 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 87, 020601 (2001); M. Marsili and A.J. Bray, ibid. 76, 2750 (1996); J.M. Schwarz and D.S. Fisher, ibid. 87, 096107 (2001); A.A. Zaikin, J. García-Ojalvo, and L. Schimansky-Geier, Phys. Rev. E 60, R6275 (1999); H. Hinrichsen, R. Livi, D. Mukamel, and A. Politi, ibid 61, R1032 (2000); W. Genovese, M.A. Muñoz, and J.M. Sancho, ibid. 57, R2495 (1998); C. Van den Broeck, J.M.R. Parrondo, R. Toral, and R. Kawai, ibid. 55, 4084 (1997); M. Ibañes, J. García-Ojalvo, R. Toral, and J.M. Sancho, ibid. 60, 3597 (1999); L. Giada and M. Marsili, ibid. 62, 6015 (2000).
    • (2000) Phys. Rev. E , vol.62 , pp. 6015
    • Giada, L.1    Marsili, M.2
  • 44
    • 0001412496 scopus 로고    scopus 로고
    • R. Müller, K. Lippert, A. Kühnel, and U. Behn, Phys. Rev. E 56, 2658 (1997); S. Kim, S.H. Park, and C.S. Ryu, ibid. 58, 7994 (1998).
    • (1998) Phys. Rev. E , vol.58 , pp. 7994
    • Kim, S.1    Park, S.H.2    Ryu, C.S.3
  • 45
    • 0034206239 scopus 로고    scopus 로고
    • R. Mankin, A. Ainsaar, and E. Reiter, Phys. Rev. E 61, 6359 (2000); R. Mankin, A. Ainsaar, A. Haljas, and E. Reiter, ibid. 63, 041110 (2001); R. Mankin, R. Tammelo, and D. Martila, ibid. 64, 051114 (2001).
    • (2000) Phys. Rev. E , vol.61 , pp. 6359
    • Mankin, R.1    Ainsaar, A.2    Reiter, E.3
  • 46
    • 0035305683 scopus 로고    scopus 로고
    • R. Mankin, A. Ainsaar, and E. Reiter, Phys. Rev. E 61, 6359 (2000); R. Mankin, A. Ainsaar, A. Haljas, and E. Reiter, ibid. 63, 041110 (2001); R. Mankin, R. Tammelo, and D. Martila, ibid. 64, 051114 (2001).
    • (2001) Phys. Rev. E , vol.63 , pp. 041110
    • Mankin, R.1    Ainsaar, A.2    Haljas, A.3    Reiter, E.4
  • 47
    • 0035509672 scopus 로고    scopus 로고
    • R. Mankin, A. Ainsaar, and E. Reiter, Phys. Rev. E 61, 6359 (2000); R. Mankin, A. Ainsaar, A. Haljas, and E. Reiter, ibid. 63, 041110 (2001); R. Mankin, R. Tammelo, and D. Martila, ibid. 64, 051114 (2001).
    • (2001) Phys. Rev. E , vol.64 , pp. 051114
    • Mankin, R.1    Tammelo, R.2    Martila, D.3
  • 51
    • 0032556184 scopus 로고    scopus 로고
    • M.A. Nowak and K. Sigmund, J. Theor. Biol. 194, 561 (1998); R.L. Riolo, M.D. Cohen, and R. Axelrod, Nature (London) 414, 441 (2001).
    • (1998) J. Theor. Biol. , vol.194 , pp. 561
    • Nowak, M.A.1    Sigmund, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.