Complex dynamics in a nonlinear chemical system switching between two stable stationary states

Journal of Chemical Physics

Volumn 119, Issue 7, 2003, Pages 3626-3630

  Wang, Jichang ^a  

^a UNIVERSITY OF WINDSOR   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

OSCILLATIONS; PERTURBATION TECHNIQUES; SWITCHING; WAVEFORM ANALYSIS;

SELF-OSCILLATING DYNAMICS;

NONLINEAR SYSTEMS;

EID: 0041878287     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1592498     Document Type: Article

References (27)

1. J. E. Bailey, Chem. Eng. Commun. 1, 111 (1973).
2. G. A. Cordonier, L. D. Schmidt, and R. Aris, Chem. Eng. Sci. 45, 1659 (1990).
3. A. Boiteux, A. Goldbeter, and B. Hess, Proc. Natl. Acad. Sci. U.S.A. 72, 3829 (1975).
4. H. Daido and K. Tomita, Prog. Theor. Phys. 61, 825 (1979).
5. T. Kai and K. Tomita, Prog. Theor. Phys. 61, 54 (1979).
6. J. C. Mankin and J. L. Hudson, Chem. Eng, Sci. 39, 1807 (1984).
7. I. G. Kevrekidis, L. D. Schmidt, and R. Aris, Chem. Eng. Commun. 30, 323 (1984).
8. I. G. Kevrekidis, R. Aris, and L. D. Schmidt, Chem. Eng. Sci. 41, 905 (1986).
9. M. A. McKarnin, L. D. Schmidt, and R. Aris, Chem. Eng. Sci. 43, 2833 (1988).
10. W. Vance and J. Ross, J. Chem. Phys. 91, 7654 (1989).
11. I. Schreiber, M. Dolník, P. Choc, and M. Marek, Phys. Lett. A 128, 66 (1988).
12. M. Dolník, J. Finkeová, I. Schreiber, and M. Marek, J. Phys. Chem. 93, 2764 (1989).
13. H. G. Othmer, in Nonlinear Wave Processes in Excitable Media, edited by A. V. Holden, M. Marcus, and H. G. Othmer (Plenum, New York, 1991), p. 213.
14. A. Förster, T. Hauck, and F. W. Schneider, J. Phys. Chem. 98, 184 (1994).
15. T. L. Closson and M. R. Roussel, Phys. Rev. Lett. 85, 3974 (2000).
16. M. R. Roussel and J. Wang, J. Phys. Chem. A 104, 11751 (2000).
17. S. K. Scott, Chemical Chaos (Oxford University Press, Oxford, 1991).
18. F. W. Schneider, Annu. Rev. Phys. Chem. 36, 347 (1985).
19. K. Showalter, R. M. Noyes, and H. Turner, J. Am. Chem. Soc. 101, 7463 (1979).
20. R. J. Field and R. M. Noyes, J. Chem. Phys. 60, 1877 (1974).
21. H.-J. Krug, L. Pohlmann, and L. Kuhnert, J. Phys. Chem. 94, 4862 (1990).
22. J. J. Tyson and P. C. Fife, J. Chem. Phys. 73, 2224 (1980).
23. S. Kádár, T. Amemiya, and K. Showalter, J. Phys. Chem. 101, 8200 (1997).
24. I. Hanazaki, Y. Mori, T. Sekiguchi, and G. Rabai, Physica D 84, 228 (1995).
25. M. K. Ram Reddy, Z. Szlávik, Zs. Nagy-Ungvarai, and S. C. Müller, J. Phys. Chem. 99, 15081 (1995).
26. G. Rangarajan, S. Habib, and R. D. Ryne, Phys. Rev. Lett. 80, 3747 (1998).
27. D. Gonze and A. Goldbeter, J. Stat. Phys. 101, 649 (2000).