Reaction-diffusion patterns on a disk or a square in a model with long-range interaction

Journal of Chemical Physics

Volumn 107, Issue 19, 1997, Pages 8165-8174

  Sheintuch, Moshe ^a   Nekhamkina, Olga ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000808225     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3427649     Document Type: Article

References (29)

1. U. Middya, M. Sheintuch, M. D. Graham, and D. Luss, Physica D 63, 393 (1993a).
2. U. Middya, M. D. Graham, D. Luss, and M. Sheintuch, J. Chem. Phys. 98, 2823 (1993b).
3. A. B. Rovinsky and M. Menzinger, Phys. Rev. Lett. 69, 1193 (1992).
4. U. Middya, D. Luss, and M. Sheintuch, J. Chem. Phys. 100, 3568 (1994a).
5. U. Middya, D. Luss, and M. Sheintuch, J. Chem. Phys. 101, 4688 (1994b).
6. M. Sheintuch and S. Shvartsman, AIChE J. 42, 1041 (1996).
7. M. Sheintuch, Physica D. 102, 125 (1997).
8. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 961 (1993).
9. A. S. Mikhailov, Foundation of Synergetics I. Distributed Active Systems (Springer, Berlin, 1990).
10. R. Fitzhugh, Biophys. J. 1, 445 (1961).
11. A. Hagberg and E. Meron, Nonlinearity 7, 805 (1994a).
12. U. Middya and D. Luss, J. Chem. Phys. 102, 5029 (1995).
13. Y. Nishiyura and M. Mimura, SIAM J. Appl. Math. 49, 481 (1989).
14. T. Ohta, A. Ito, and A. Tetsuka, Phys. Rev. A. 42, 3225 (1990).
15. A. Hagberg and E. Meron, Phys. Rev. Lett. 72, 2494 (1994b).
16. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer, Berlin, 1984).
17. V. A. Vasilev and M. S. Polyakova, Vestnik MGU Ser. Fiz. 16, 99 (1975).
18. S. L. Lane and D. Luss, Phys. Rev. Lett. 70, 830 (1993).
19. Y. E. Volodin, V. V. Barelko, and A. G. Merzhanov, Sov. J. Chem. Phys. 5, 1146 (1982).
20. G. Philippou, M. Somani, and D. Luss, Chem. Eng. Sci. 48, 2325 (1993).
21. D. Haim, O. Lev, L. M. Pismen, and M. Sheintuch, Chem. Eng. Sci. 47, 3907 (1992).
22. G. Ertl and R. Imbihl, Chem. Rev. 95, 697 (1995).
23. G. Veser, F. Mertens, A. S. Mikhailov, and R. Imbihl, Phys. Rev. Lett. 71, 935 (1993).
24. F. J. Elmer, Physica D 30, 321 (1988).
25. H. Willebrand, T. Huntler, F. J. Niedernostheide, R. Dohmen, and H.-G. Purwins, Phys. Rev. A 45, 8766 (1992).
26. A. T. Winfree, Sci. Am. 230, 82 (1974).
27. O. A. Nekhamkina and M. Sheintuch, Physica A (to be published).
28. H. Weyl, Symmetry (Princeton University, Princeton, NJ, 1952).
29. B. S. Kerner and V. V. Osipov, Autosolitons. A New Approach to Prolems of Self-Organization and Turbulence (Kluwer Academia, 1994).