Coherent wave patterns sustained by a localized inhomogeneity in an excitable medium

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

Volumn 79, Issue 2, 2009, Pages

  Li, Bing Wei ^a   Zhang, Hong ^a   Ying, He Ping ^a   Hu, Gang ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b BEIJING NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC STATE; COHERENT WAVES; EXCITABLE MEDIUMS; INHOMOGENEITIES; INHOMOGENEITY; REACTION-DIFFUSION SYSTEMS; SPIRAL WAVES; TARGET WAVES; WHOLE SYSTEMS;

EID: 63149138298     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.026220     Document Type: Article

References (40)

1. Chemical Waves and Patterns, edited by, R. Kapral, and, K. Showalter, (Kluwer, Dordrecht, The Netherlands, 1995).
2. A. T. Winfree, When Time Breaks Down (Princeton, Princeton, NJ, 1987).
3. Q. Ouyang and Flesselles, Nature (London) 379, 143 (1996). 10.1038/379143a0
4. M. Kim, M. Bertram, M. Pollmann, A. von Oertzen, A. S. Mikhailov, H. H. Rotermund, and G. Ertl, Science 292, 1357 (2001). 10.1126/science.1059478
5. M. Bär and M. Eiswirth, Phys. Rev. E 48, R1635 (1993). 10.1103/PhysRevE.48.R1635
6. S. Alonso, F. Sagues, and A. S. Mikhailov, Science 299, 1722 (2003). 10.1126/science.1080207
7. N. J. Wu, H. Zhang, H. P. Ying, Z. Cao, and G. Hu, Phys. Rev. E 73, 060901 (R) (2006). 10.1103/PhysRevE.73.060901
8. I. Aranson, H. Levine, and L. Tsimring, Phys. Rev. Lett. 72, 2561 (1994). 10.1103/PhysRevLett.72.2561
9. H. Zhang, Z. Cao, N. J. Wu, H. P. Ying, and G. Hu, Phys. Rev. Lett. 94, 188301 (2005). 10.1103/PhysRevLett.94.188301
10. H. Zhang, B. Hu, and G. Hu, Phys. Rev. E 68, 026134 (2003). 10.1103/PhysRevE.68.026134
11. X. He, H. Zhang, B. Hu, Z. Cao, B. Zheng, and G. Hu, New J. Phys. 9, 66 (2007). 10.1088/1367-2630/9/3/066
12. G. Baier, S. Sahle, J. P. Chen, and A. A. Hoff, J. Chem. Phys. 110, 3251 (1999). 10.1063/1.477848
13. R. Zhang, L. Yang, A. M. Zhabotinsky, and I. R. Epstein, Phys. Rev. E 76, 016201 (2007). 10.1103/PhysRevE.76.016201
14. M. Jiang, X. Wang, Q. Ouyang, and H. Zhang, Phys. Rev. E 69, 056202 (2004). 10.1103/PhysRevE.69.056202
15. G. Y. Yuan, S. G. Chen, and S. P. Yang, Eur. Phys. J. B 58, 331 (2007). 10.1140/epjb/e2007-00220-6
16. J. Gao and M. Zhan, Phys. Lett. A 371, 96 (2007). 10.1016/j.physleta. 2007.06.018
17. C. Punckt, M. Stich, C. Beta, and H. H. Rotermund, Phys. Rev. E 77, 046222 (2008). 10.1103/PhysRevE.77.046222
18. K. Agladze, M. W. Kay, V. Krinsky, and N. Sarvazyan, Am. J. Physiol. Heart Circ. Physiol. 293, H503 (2007). 10.1152/ajpheart.01060.2006
19. A. N. Zaikin and A. M. Zhabotinsky, Nature (London) 225, 535 (1970). 10.1038/225535b0
20. G. Ertl, Science 254, 1750 (1991). 10.1126/science.254.5039.1750
21. J. M. Davidenko, A. V. Perstov, R. Salomonsz, W. Baxter, and J. Jalife, Nature (London) 355, 349 (1992). 10.1038/355349a0
22. F. Xie, Z. Qu, and A. Garfinkel, Phys. Rev. E 58, 6355 (1998). 10.1103/PhysRevE.58.6355
23. O. Steinbock and S. C. Müller, Phys. Rev. E 47, 1506 (1993). 10.1103/PhysRevE.47.1506
24. X. Zou, H. Levine, and D. A. Kessler, Phys. Rev. E 47, R800 (1993). 10.1103/PhysRevE.47.R800
25. A. P. Muñuzuri, V. Perez-Muñuzuri, and V. Perez-Villar, Phys. Rev. E 58, R2689 (1998). 10.1103/PhysRevE.58.R2689
26. Y. Q. Fu, H. Zhang, Z. Cao, B. Zheng, and G. Hu, Phys. Rev. E 72, 046206 (2005). 10.1103/PhysRevE.72.046206
27. A. Pumir, V. Nikolski, M. Horning, A. Isomura, K. Agladze, K. Yoshikawa, R. Gilmour, E. Bodenschatz, and V. Krinsky, Phys. Rev. Lett. 99, 208101 (2007). 10.1103/PhysRevLett.99.208101
28. B. Hu and H. Zhang, Int. J. Mod. Phys. B 17, 3988 (2003). 10.1142/S0217979203021976
29. T. K. Shajahan, S. Sinha, and R. Pandit, Phys. Rev. E 75, 011929 (2007). 10.1103/PhysRevE.75.011929
30. M. Bär, N. Gottschalk, M. Eiswirth, and G. Ertl, J. Chem. Phys. 100, 1202 (1994). 10.1063/1.466650
31. M. D. Graham, I. G. Kevrekidis, K. Asakura, J. Lauterbach, K. Krischer, H. H. Rotermund, and G. Ertl, Science 264, 80 (1994). 10.1126/science.264.5155. 80
32. M. Pollmann, H. H. Rotermund, G. Ertl, X. Li, and I. G. Kevrekidis, Phys. Rev. Lett. 86, 6038 (2001). 10.1103/PhysRevLett.86.6038
33. M. Bär, I. G. Kevrekidis, H. H. Rotermund, and G. Ertl, Phys. Rev. E 52, R5739 (1995). 10.1103/PhysRevE.52.R5739
34. M. Bär, A. K. Bangia, I. G. Kevrekidis, G. Haas, H. H. Rotermund, and G. Ertl, J. Phys. Chem. 100, 19106 (1996). 10.1021/jp961689q
35. V. I. Krinsky and K. I. Agladze, Physica D 8, 50 (1983). 10.1016/0167-2789(83)90310-X
36. M. Stich and A. S. Mikhailov, Physica D 215, 38 (2006). 10.1016/j.physd.2006.01.011
37. V. Petrov, Q. Ouyang, G. Li, and H. L. Swinney, J. Phys. Chem. 100, 18992 (1996). 10.1021/jp961392s
38. B. W. Li, H. Zhang, H. P. Ying, W. Q. Chen, and G. Hu, Phys. Rev. E 77, 056207 (2008). 10.1103/PhysRevE.77.056207
39. J. Wolff, A. G. Papathanasiou, I. G. Kevrekidis, H. H. Rotermund, and G. Ertl, Science 294, 134 (2001). 10.1126/science.1063597
40. J. Wolff, M. Stich, C. Beta, and H. H. Rotermund, J. Phys. Chem. B 108, 14282 (2004). 10.1021/jp0498015