Pattern formation arising from interactions between turing and wave instabilities

Journal of Chemical Physics

Volumn 117, Issue 15, 2002, Pages 7259-7265

  Yang, Lingfa ^a   Dolnik, Milos ^a   Zhabotinsky, Anatol M ^a   Epstein, Irving R ^a  

^a BRANDEIS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFUSION; MATHEMATICAL MODELS; MECHANICAL WAVES;

OSCILLATORY; TURING; WAVE INSTABILITIES;

MOLECULAR DYNAMICS;

EID: 0037109593     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1507110     Document Type: Article

References (30)

1. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
2. I. R. Epstein and J. A. Pojman, An Introduction to Nonlinear Chemical Dynamics (Oxford University Press, New York, 1998).
3. H. L. Swinney and V. I. Krinsky, in Waves and Patterns in Chemical and Biological Media, Physica D 49, 1 (1991).
4. R. Kapral and K. Showalter, in Chemical Waves and Patterns (Kluwer, Dordrecht, 1995).
5. A. M. Turing, Philos. Trans. R. Soc. London, Ser. B 237, 37 (1952).
6. V. Castets, E. Dulos, J. Boissonade, and P. De Kepper, Phys. Rev. Lett. 64, 2953 (1990).
7. D. Walgraef, Spatio-Temporal Pattern Formation (Springer-Verlag, Berlin, 1997).
8. M. Hildebrand, A. S. Mikhailov, and G. Ertl, Phys. Rev. Lett. 81, 2602 (1998).
9. A. M. Zhabotinsky, M. Dolnik, and I. R. Epstein, J. Chem. Phys. 103, 10306 (1995).
10. M. Dolnik, A. M. Zhabotinsky, A. B. Rovinsky, and I. R. Epstein, J. Phys. Chem. A 103, 38 (1999)
11. M. Dolnik, A. B. Rovinsky, A. M. Zhabotinsky, and I. R. Epstein, Chem. Eng. Sci. 55, 223 (2000)
12. J.-J. Perraud, A. De Wit, E. Dulos, P. De Kepper, G. Dewel, and P. Borckmans, Phys. Rev. Lett. 71, 1272 (1993).
13. A. De Wit, D. Lima, G. Dewel, and P. Borckmans, Phys. Rev. E 54, 261 (1996).
14. M. Meixner, A. De Wit, S. Bose, and E. Schöll, Phys. Rev. E 55, 6690 (1997)
15. S. Bose, P. Rodin, and E. Schöll, ibid. 62, 1778 (2000).
16. M. C. Cross, Phys. Rev. Lett. 57, 2935 (1986).
17. S. Jakubith, H. H. Rotermund, W. Engel, A. v. Oertzen, and G. Ertl, Phys. Rev. Lett. 65, 3013 (1990).
18. O. Lev, M. Sheintuch, L. M. Pisemen, and C. Yanitzky, Nature (London) 336, 458 (1988).
19. G. A. Cordonier, F. Schuth, and L. D. Schmidt, J. Chem. Phys. 91, 5374 (1989).
20. G. Philippou, F. Schultz, and D. Luss, J. Phys. Chem. 95, 3224 (1991).
21. P. Strasser, J. Christoph, W.-F. Lin, M. Eiswirth, and J. L. Hudson, J. Phys. Chem. A 104, 1854 (2000).
22. A. v. Oertzen, H. H. Rotermund, A. S. Mikhailov, and G. Ertl, J. Phys. Chem. A 104, 3155 (2000).
23. N. Mazouz and K. Krischer, J. Phys. Chem. B 104, 6081 (2000)
24. K. Krischer, N. Mazouz, and G. Flätgen, ibid. 104, 7545 (2000).
25. V. K. Vanag and I. R. Epstein. Science 294, 835 (2001)
26. V. K. Vanag, and I. R. Epstein, Phys. Rev. Lett. 87, 228301 (2001).
27. I. Prigogine and R. Lefever, J. Chem. Phys. 48, 1695 (1968).
28. R. J. Field and R. M. Noyes, J. Chem. Phys. 60, 1877 (1974).
29. J. P. Keener and J. J. Tyson, Physica D 21, 307 (1986).
30. J. Boissonade, E. Dulos, and P. De Kepper, in Chemical Waves and Patterns, edited by R. Kapral and K. Showalter (Kluwer, Dordrecht, 1995) p. 221.