Dynamics of a stochastic oscillator in an excitable chemical reaction system

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 67, Issue 6 2, 2003, Pages

  Miyakawa, Kenji ^a   Tanaka, Takayuki ^a   Isikawa, Hironobu ^a  

^a FUKUOKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CATALYSTS; CHEMICAL REACTIONS; ELECTRIC FIELDS; ELECTRODES; ION EXCHANGE; PLATINUM; POSITIVE IONS; RANDOM PROCESSES; REACTION KINETICS; RESONANCE;

ADDITIVE NOISE; EXCITABLE CHEMICAL REACTION SYSTEM; STOCHASTIC OSCILLATOR; SUBTHRESHOLD PERIODIC SIGNAL;

CHAOS THEORY;

EID: 42749106299     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (37)

1. D. Sigeti and W. Horsthemke, J. Stat. Phys. 54, 1217 (1989)
2. G. Montambaux, H. Bouchiat, D. Sigeti, and R. Friesner, Phys. Rev. B 42, 7647 (1990).
3. W. Horsthemke and R. Lefever, Noise-induced Transitions (Springer-Berlin, 1984).
4. A. Neiman, A. Silchenko, V. Anischenko, and L. Schimansky-Geier, Phys. Rev. E 58, 7118 (1997).
5. A. Silchenko, T. Kapitaniak, and V. Anishchenko, Phys. Rev. E 59, 1593 (1999).
6. K. Miyakawa and H. Isikawa, Phys. Rev. E 65, 056206 (2002).
7. P. Jung and G. Mayer-Kress, Phys. Rev. Lett. 74, 2130 (1995).
8. S. Kádár, J. Wang, and K. Showalter, Nature (London) 391, 770 (1998)
9. J. Wang, S. Kádár, P. Jung, and K. Showalter, Phys. Rev. Lett. 82, 855 (1999).
10. H. Hempel, L. Schimansky-Geier, and J. Garcia-Ojalvo, Phys. Rev. Lett. 82, 3713 (1999).
11. A. Sanz-Anchelergues, A.M. Zhabotinsky, I.R. Epstein, and A.P. Muñuzuri, Phys. Rev. E 63, 056124 (2001).
12. A.S. Pikovsky and J. Kurths, Phys. Rev. Lett. 78, 775 (1997).
13. A. Neiman, P.I. Saparin, and L. Stone, Phys. Rev. E 56, 270 (1997).
14. B. Lindner and L. Schimansky-Geier, Phys. Rev. E 60, 7270 (1999)
15. B. Lindner and L. Schimansky-Geier, Phys. Rev. E 61, 6103 (2000).
16. D.E. Postnov, S.K. Han, T.G. Yim, and O.V. Sosnovtseva, Phys. Rev. E 59, R3791 (1999).
17. R. Benzi, A. Sultera, and A. Vulpiani, J. Phys. A 14, L453 (1981).
18. P. Jung, Phys. Rep. 234, 175 (1993).
19. F. Moss, D. Pieson, and D. O'Gorman, Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 1383 (1994).
20. L. Gammaitoni, F. Marchesoni, and S. Santucci, Phys. Rev. Lett. 74, 1052 (1995)
21. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
22. R.N. Mantegna, B. Spagnolo, and M. Trapanese, Phys. Rev. E 63, 011101 (2001).
23. H. Gang, T. Ditzinger, C.Z. Ning, and H. Haken, Phys. Rev. Lett. 71, 807 (1993).
24. W.J. Rappel and S.H. Strogatz, Phys. Rev. E 50, 3249 (1994).
25. A. Longtin, Phys. Rev. E 55, 868 (1997).
26. Z. Hou and H. Xin, J. Chem. Phys. 111, 721 (1999).
27. G. Giacomelli, M. Giuduci, S. Balle, and J.R. Tredicce, Phys. Rev. Lett. 84, 3289 (2000).
28. K. Miyakawa and H. Isikawa, Phys. Rev. E 66, 046204 (2002).
29. A. Longtin and D.R. Chialvo, Phys. Rev. Lett. 81, 4012 (1998).
30. S.R. Massanés and C.J.P. Vicente, Phys. Rev. E 59, 4490 (1999).
31. T. Shimokawa, K. Pakdaman, and S. Sato, Phys. Rev. E 59, 3427 (1999).
32. H.E. Plesser and T. Geisel, Phys. Rev. E 59, 7008 (1999).
33. J. Maselko and K. Showalter, Nature (London) 339, 609 (1989).
34. K. Miyakawa, T. Okabe, M. Mizoguchi, and F. Sakamoto, J. Chem. Phys. 103, 9621 (1995)
35. K. Miyakawa and M. Mizoguchi, ibid. 109, 7462 (1998).
36. L. Kuhnert, Nature (London) 319, 393 (1986)
37. L. Kuhnert, K.I. Agladze, and V.I. Krinsky, ibid. 337, 244 (1989).