Selection mechanism for rotating patterns in weakly excitable media

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

Volumn 75, Issue 4, 2007, Pages

  Zykov, Vladimir S ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANGULAR VELOCITY; BIFURCATION (MATHEMATICS); MATHEMATICAL MODELS; ROTATING DISKS;

CRITICAL PARAMETER; SPIRAL WAVES; WEAKLY EXCITABLE MEDIUM;

STATISTICAL MECHANICS;

EID: 34147161628     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.046203     Document Type: Article

References (22)

1. A. T. Winfree, The Geometry of Biological Time (Springer, Berlin, 2000).
2. Wave and Patterns in Biological and Chemical Excitable Media, edited by, V. Krinsky, and, H. Swinney, (North-Holland, Amsterdam, 1991).
3. Chemical Waves and Patterns, edited by, R. Kapral, and, K. Showalter, (Kluwer, Dordrecht, 1995).
4. V. S. Zykov, Simulation of Wave Processes in Excitable Media (Manchester University Press, Manchester, 1987).
5. E. Mihaliuk, T. Sakurai, F. Chirila, and K. Showalter, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.065602 65, 065602 (R) (2002).
6. V. S. Zykov and K. Showalter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.068302 94, 068302 (2005).
7. A. Karma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.2274 66, 2274 (1991).
8. A. S. Mikhailov and V. S. Zykov, Physica D PDNPDT 0167-2789 10.1016/0167-2789(91)90134-U 52, 379 (1991).
9. V. Hakim and A. Karma, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60. 5073 60, 5073 (1999).
10. D. Margerit and D. Barkley, Chaos CHAOEH 1054-1500 10.1063/1.1494875 12, 636 (2002).
11. A. M. Pertsov, E. A. Ermakova, and A. V. Panfilov, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00025-7 14, 117 (1984).
12. J. J. Tyson and J. P. Keener, Physica D PDNPDT 0167-2789 10.1016/0167-2789(88)90062-0 32, 327 (1988).
13. V. A. Davydov and V. S. Zykov, JETP JTPHES 1063-7761 76, 414 (1993).
14. I. Aranson, D. Kessler, and I. Mitkov, Physica D PDNPDT 0167-2789 10.1016/0167-2789(95)00113-I 85, 142 (1995).
15. V. S. Zykov and S. C. Müller, Physica D PDNPDT 0167-2789 10.1016/0167-2789(96)00145-5 97, 322 (1966).
16. N. Hartmann, M. Bär, I. G. Kevrekidis, K. Krischer, and R. Imbihl, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1384 76, 1384 (1996).
17. P. C. Fife, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01008360 39, 687 (1985).
18. A. Bernoff, Physica D PDNPDT 0167-2789 10.1016/0167-2789(91)90168-9 53, 125 (1991).
19. P. Pelce and J. Sun, Physica D PDNPDT 0167-2789 10.1016/0167-2789(91) 90093-O 48, 353 (1991).
20. D. Kessler and R. Kupferman, Physica D PDNPDT 0167-2789 10.1016/0167-2789(96)00135-2 97, 509 (1996).
21. F. B. Gul'ko and A. A. Petrov, Biofizika BIOFAI 0006-3029 17, 261 (1972).
22. V. S. Zykov, Biophysics (Engl. Transl.) BIOPAE 0006-3509 31, 940 (1986).