Exact nonequilibrium potential for the FitzHugh-Nagumo model in the excitable and bistable regimes

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

Volumn 58, Issue 1, 1998, Pages 93-98

  Izus G G ^a   Deza, R R ^a   Wio, H S ^b  

^a UNIVERSIDAD NACIONAL DE MAR DEL PLATA   (Argentina)

^b CENTRO ATÓMICO BARILOCHE   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002443348     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.93     Document Type: Article

References (63)

1. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993)
2. E. Meron, Phys. Rep. 218, 1 (1992)
3. A. S. Mikhailov, Foundations of Synergetics I (Springer, Berlin, 1990)
4. H. S. Wio, An Introduction to Stochastic Processes and Nonequilibrium Statistical Physics (World Scientific, Singapore, 1994)
5. D. Walgraef, Spatio-Temporal Pattern Formation (Springer, New York, 1997).
6. H. Haken, in Encyclopedia of Physics, edited by S. Flügge (Springer, Berlin, 1970), Vol. XXV/2c.
7. R. Graham, in Quantum Statistics in Optics and Solid-State Physics, edited by G. Hólder, Springer Tracts in Modern Physics Vol. 66, (Springer, 1973), pp. 1–97
8. R. Graham, in Coherence and Quantum Optics, edited by L. Mandel and E. Wolf (Plenum, New York, 1973)
9. R. Graham and H. Haken, Z. Phys. 243, 289 (1971)
10. Z. Phys.R. GrahamH. Haken245, 141 (1971).
11. R. Graham, in Fluctuations, Instabilities and Phase Transitions, edited by T. Riste (Plenum, New York, 1975), p. 270.
12. R. Kubo, R. Matsuo, and K. Kitara, J. Stat. Phys. 9, 51 (1973).JSTPBS
13. C. Van den Broeck, J. M. R. Parrondo, and R. Toral, Phys. Rev. Lett. 73, 3395 (1994)
14. Phys. Rev. Lett.S. Mangioni, R. Deza, H. S. Wio and R. Toral, 79, 2389 (1997).
15. B. McNamara and K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989).PLRAAN
16. F. Moss, D. Pierson, and D. O’Gorman, Int. J. Bifurc. Chaos Appl. Sci. Eng. 4, 1383 (1994); IJBEE4
17. K. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995).NATUAS
18. L. Gammaitoni, F. Marchesoni, E. Menichella-Saetta, and S. Santucci, Phys. Rev. Lett. 62, 349 (1989)
19. M. Gitterman and G. H. Weiss, J. Stat. Phys. 70, 107 (1993)
20. N. G. Stocks, N. D. Stein, and P. V. E. Mc Clintock, J. Phys. A 26, L385 (1993).JPHAC5
21. Proceedings of the NATO Advanced Research Workshop on Stochastic Resonance in Physics and Biology, edited by F. Moss et al., [J. Stat. Phys. 70, (1993)]
22. Proceedings of the Second International Workshop on Fluctuations in Physics and Biology, edited by A. Bulsara et al., [Nuovo Cimento D 17 (1995)]
23. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).RMPHAT
24. A. Bulsara and G. Schmera, Phys. Rev. E 47, 3734 (1993); PLEEE8
25. P. Jung, U. Behn, E. Pantazelou, and F. Moss, Phys. Rev. A 46, R1709 (1992)
26. J. F. Lindner, B. K. Meadows, W. L. Ditto, M. E. Inchiosa, and A. Bulsara, Phys. Rev. Lett. 75, 3 (1995)
27. J. F. LindnerB. K. MeadowsW. L. DittoM. E. InchiosaA. BulsaraPhys. Rev. E 53, 2081 (1996).
28. H. S. Wio, Phys. Rev. E 54, R3075 (1996); PLEEE8
29. F. Castelpoggi and H. S. Wio, Europhys. Lett. 38, 91 (1997)
30. H. S. Wio and F. Castelpoggi, in Unsolved Problems of Noise, edited by L. B. Kiss, and M. Schlesinger, Ch. Doering (World Scientific, Singapore, 1997), p. 229
31. M. Kuperman, H. S. Wio, F. Castelpoggi, G. Izús, and R. Deza, Physica A (to be published).
32. R. Graham and A. Schenzle, Phys. Rev. A 23, 1302 (1981)
33. R. Graham and T. Tél, Phys. Rev. Lett. 52, 9 (1984)
34. R. GrahamT. TélJ. Stat. Phys. 35, 729 (1984)
35. R. GrahamT. TélPhys. Rev. A 33, 1322 (1986)
36. Phys. Rev. AR. GrahamT. Tél35, 1328 (1987).
37. R. Graham, in Instabilities and Nonequilibrium Structures, edited by E. Tirapegui and D. Villaroel (Reidel, Dordrecht, 1987).
38. R. Graham and T. Tel, Phys. Rev. A 42, 4661 (1990)
39. O. Descalzi and R. Graham, Phys. Lett. A 170, 84 (1992)
40. O. DescalziR. GrahamZ. Phys. B 93, 509 (1994).
41. G. Izús, Phys. Rev. E 52, 129 (1995); PLEEE8
42. G. IzúsInt. J. Mod. Phys. B 10, 1273 (1996)
43. D. Zanette, H. S. Wio, and R. Deza, Phys. Rev. E 53, 353 (1996); PLEEE8
44. F. Castelpoggi, H. S. Wio, and D. Zanette, Int. J. Mod. Phys. B 11, 1717 (1997)
45. G. Izús, Phys. Rev. E 55, 4005 (1997); PLEEE8
46. G. IzúsPhysica A 237, 135 (1997).
47. F. Moss, J. K. Douglass, L. Wilkens, D. Pierson, and E. Pantazelou, Ann. (N.Y.) Acad. Sci. 706, 26 (1993); ANYAA9
48. A. J. Longtin, J. Stat. Phys. 70, 309 (1993)
49. K. Wiesenfeld, D. Pierson, E. Pantazelou, C. Dames, and F. Moss, Phys. Rev. Lett. 72, 2125 (1994).PRLTAO
50. J. J. Collins, C. C. Chow, and T. T. Imhoff, Phys. Rev. E 52, R3321 (1995).PLEEE8
51. G. Drazer and H. S. Wio, Physica A 240, 571 (1997).PHYADX
52. H. A. Kramers, Physica (Amsterdam) 7, 284 (1940)
53. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990)
54. S. P. Fedotov, Phys. Lett. A 176, 220 (1993).PYLAAG
55. F. Castelpoggi, and H. S. Wio, Phys. Rev. E (to be published)
56. M. Kuperman, H. S. Wio, G. Izús, and R. Deza, Phys. Rev. E (to be published).
57. D. R. Chialvo, A. Longtin, and J. Müller-Gerking, Phys. Rev. E 55, 1798 (1997).PLEEE8
58. A. Guderian, G. Dechert, K. Zeyer, and F. Schneider, J. Phys. Chem. 100, 4437 (1996)
59. J. Phys. Chem.A. Förster, M. Merget, and F. Schneider, 100, 4442 (1996)
60. J. Phys. Chem.W. Hohmann, J. Müller, and F. W. Schneider, 100, 5388 (1996).
61. V. Petrov Q. Ouyang, and H. L. Swinney, Nature (London) 388, 655 (1997)
62. P. De Kepper and S. Müller (private communication).
63. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer, Berlin, 1984).