Spiral breakup due to mechanical deformation in excitable media

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

Volumn 70, Issue 1 2, 2004, Pages

  Zhang, Hong ^a,b   Ruan, Xiao Sheng ^a   Hu, Bambi ^b,c   Ouyang, Qi ^d  

^a ZHEJIANG UNIVERSITY   (China)

^b HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

^c University of Houston   (United States)

^d PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; CARDIOLOGY; COMPUTER AIDED ANALYSIS; DIFFUSION; MATHEMATICAL MODELS; MECHANICAL WAVES; OSCILLATIONS; PATTERN RECOGNITION; PERTURBATION TECHNIQUES; PHASE DIAGRAMS; SILICA GEL; VELOCITY MEASUREMENT;

CHAOTIC BEHAVIOURS; MECHANICAL DEFORMATION; REACTION-DIFFUSION SYSTEMS; SPIRAL WAVES;

WAVE PROPAGATION;

EID: 42749106351     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.016212     Document Type: Article

References (38)

1. A. T. Winfree, When Time Breaks Down (Princeton University Press, Princeton, 1987).
2. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
3. Chemical Waves and Patterns, edited by R. Kapral and K. Showalter (Kluwer Academic, Dordrecht, 1995).
4. J. M. Davidenko, A. V. Pertsov, R. Salomonsz, W. Baxter, and J. Jalife, Nature (London) 355, 349 (1992).
5. A. T. Winfree, Science 266, 1003 (1994).
6. R. A. Gray, J. Jalife, A. V. Panfilov, W. T. Baxter, C. Cabo, J. M. Davidenko, and A. M. Pertsov, Science 270, 1222 (1995).
7. L. Glass, Phys. Today 49, 40 (1996).
8. A. V. Holden, Nature (London) 392, 20 (1998).
9. R. A. Gray, A. M. Pertsov, and J. Jalife, Nature (London) 392, 75 (1998).
10. F. X. Witkowski, L. J. Leon, P. A. Penkoske, W. R. Giles, M. L. Spano, W. L. Ditto, and A. T. Winfree, Nature (London) 392, 78 (1998).
11. Q. Ouyang and J. M. Flesselles, Nature (London) 379, 143 (1996); L. Q. Zhou and Q. Ouyang, Phys. Rev. Lett. 85, 1650 (2000).
12. Q. Ouyang and J. M. Flesselles, Nature (London) 379, 143 (1996); L. Q. Zhou and Q. Ouyang, Phys. Rev. Lett. 85, 1650 (2000).
13. Q. Ouyang, H. L. Swinney, and G. Li, Phys. Rev. Lett. 84, 1047 (2000).
14. J. S. Park and K. J. Lee, Phys. Rev. Lett. 83, 5393 (1999).
15. P. Coullet, L. Gil, and J. Lega, Phys. Rev. Lett. 62, 1619 (1989).
16. M. Courtemanche and A. T. Winfree, Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, 431 (1991).
17. A. V. Panfilov and P. Hogeweg, Phys. Lett. A 176, 295 (1993).
18. A. Karma, Chaos 4, 461 (1994).
19. M. Bär and M. Eiswirth, Phys. Rev. E 48, R1635 (1993).
20. A. F. M. Marée and A. V. Panfilov, Phys. Rev. Lett. 78, 1819 (1997).
21. V. S. Zykov, A. S. Mikhailov, and S. C. Müller, Phys. Rev. Lett. 81, 2811 (1998).
22. C. Zhang, H. Zhang, Q. Ouyang, B. Hu, and G. H. Gunaratne, Phys. Rev. E 68, 036202 (2003).
23. A. Belmonte, J. M. Flesselles, and Q. Ouyang, Europhys. Lett. 35, 665 (1996).
24. V. N. Biktashev, A. V. Holden, M. A. Tsyganov, J. Brindley, and N. A. Hill, Phys. Rev. Lett. 81, 2815 (1998).
25. A. P. Muñuzuri, C. Innocenti, J.-M. Flesselles, J.-M. Gilli, K. I. Agladze, and V. I. Krinsky, Phys. Rev. E 50, R667 (1994).
26. H. Zhang, B. Hu, G. Hu, and J. Xiao, J. Chem. Phys. 119, 4468 (2003).
27. V. S. Zykov, Biophysics (Engl. Transl.) 25, 906 (1980).
28. A. S. Mikhailov and V. S. Zykov, Physica D 52, 379 (1991); A. S. Mikhailov, V. A. Davydov, and V. S. Zykov, ibid. 70, 1 (1994).
29. A. S. Mikhailov and V. S. Zykov, Physica D 52, 379 (1991); A. S. Mikhailov, V. A. Davydov, and V. S. Zykov, ibid. 70, 1 (1994).
30. R. R. Aliev and A. V. Panfilov, Chaos, Solitons Fractals 7, 293 (1996).
31. For example, see a review article, M. Bär, E. Meron, and C. Utzny, Chaos 12, 204 (2002), and references therein.
32. R. Faller and L. Kramer, Phys. Rev. E 57, R6249 (1998).
33. F. Mertens and R. Imbihl, Nature (London) 370, 124 (1994).
34. A. S. Mikhailov, Phys. Rev. E 49, 5875 (1994).
35. N. Gottschalk, F. Mertens, M. Bär, M. Eiswirth, and R. Imbihl, Phys. Rev. Lett. 73, 3483 (1994).
36. F. Mertens, N. Gottschalk, M. Bär, M. Eiswirth, A. Mikhailov, and R. Imbihl, Phys. Rev. E 51, R5193 (1995).
37. A. T. Winfree, Int. J. Bifurcation Chaos Appl. Sci. Eng. 7, 784 (1997).
38. R. Field and R. Noyes, J. Chem. Phys. 60, 1877 (1974).