Resonantly forced inhomogeneous reaction-diffusion systems

Chaos

Volumn 10, Issue 3, 2000, Pages 720-730

  Hemming, C J ^a   Kapral, R ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000821077     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1286264     Document Type: Article

References (29)

1. J. García-Ojalvo and J. M. Sancho, Noise in Spatially Extended Systems (Springer-Verlag, New York, 1999).
2. V. Gáspár, G. Bazsa, and M. T. Beck, Z. Phys. Chem. (Leipzig) 264, 43 (1983).
3. S. Kádár, J. Wang, and K. Showalter, Nature (London) 391, 770 (1998).
4. I. Sendiña-Nadal, A. P. Muñuzuri, D. Vives, V. Pérez-Muñuzuri, J. Casademunt, L. Ramírez-Piscina, J. M. Sancho, and F. Sagués, Phys. Rev. Lett. 80, 5437 (1998).
5. I. Sendiña-Nadal et al., Phys. Rev. E 58, R1183 (1998).
6. I. Sendiña-Nadal et al., Phys. Rev. Lett. 84, 2734 (2000).
7. Focus issue: " Fibrillation in normal ventricular myocardium, " Chaos 8 (1998).
8. P. Jung, A. Cornell-Bell, F. Moss, S. Kadar, J. Wang, and K. Showalter, Chaos 8, 567 (1998).
9. J. Maselko and K. Showalter, Physica D 49, 21 (1991).
10. P. Jung and G. Mayer-Kress, Chaos 5, 458 (1995).
11. P. Jung and G. Mayer-Kress, Phys. Rev. Lett. 74, 2130 (1995).
12. M.-N. Chee, S. G. Whittington, and R. Kapral, Physica D 32, 437 (1988).
13. V. Petrov, Q. Ouyang, and H. L. Swinney, Nature (London) 388, 655 (1997).
14. A. L. Lin, V. Petrov, H. L. Swinney, A. Ardelea, and G. F. Carey, in Pattern Formation in Continuous and Coupled Systems;
15. The IMA Volumes in Mathematics and its Applications (Springer-Verlag, New York, 1999), Vol. 115.
16. A. L. Lin, M. Bertram, K. Martinez, and H. L. Swinney, "Resonant phase patterns in a reaction-diffusion system," Phys. Rev. Lett. (to appear).
17. V. Petrov, M. Gustaffson, and H. L. Swinney, "Formation of labyrinthine patterns in a periodically forced reaction-diffusion model," in Conference Proceedings of the 4th Experimental Chaos Conference, 1997.
18. A. Belmonte, J.-M. Flesselles, and Q. Ouyang, Europhys. Lett. 35, 665 (1996).
19. P. Coullet and K. Emilsson, Physica D 61, 119 (1992).
20. P. Coullet and K. Emilsson, Physica A 188, 190 (1992).
21. P. Coullet, J. Lega, B. Houchmanzadeh, and J. Lajzerowicz, Phys. Rev. Lett. 65, 1352 (1990).
22. C. Elphick, A. Hagberg, and E. Meron, Phys. Rev. Lett. 80, 5007 (1998).
23. C. Elphick, A. Hagberg, and E. Meron, Phys. Rev. E 59, 5285 (1999).
24. H. Chaté, A. Pikovsky, and O. Rudzick, Physica D 131, 17 (1999).
25. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer-Verlag, New York, 1984).
26. J. M. Gambaudo, J. Diff. Eqns. 57, 172 (1985).
27. C. Elphick, G. Iooss, and E. Tirapegui, Phys. Lett. A 120, 459 (1987).
28. A.-L. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth (Press Syndicate of the University of Cambridge, New York, 1995).
29. R. Kapral, R. Livi, G.-L. Oppo, and A. Politi, Phys. Rev. E 49, 2009 (1994).