Control of spiral waves in FitzHugh-Nagumo systems

Wuli Xuebao/Acta Physica Sinica

Volumn 60, Issue 8, 2011, Pages

  Gao, Jia Zhen ^a   Xie, Ling Ling ^a   Xie, Wei Miao ^a   Gao, Ji Hua ^a  

^a SHENZHEN UNIVERSITY   (China)

Author keywords

FitzHugh Nagumo equation; Phase space compression; Spiral wave

Indexed keywords

EID: 80052564406     PISSN: 10003290     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (38)

1. Kuramoto Y 1984 Chemical Oscillations, Waves and Turbulence (New York: Springer).
2. Cross M, Hohenberg P 1993 Rev. Mod. Phys. 65 851.
3. Ouyang Q 2000 Pattern Formation in Reaction-Diffusion Systems (Shanghai: Shanghai Scientific and Technological Education Publishing House) (in Chinese).
4. Gan Z N, Ma J, Zhang G Y, Chen Y 2008 Acta Phys. Sin. 57 5400 (in Chinese).
5. Xie L L, Gao J H 2010 Chin. Phys. B 19 060515.
6. Zhong M, Tang G N 2010 Acta Phys. Sin. 59 1593 (in Chinese).
7. Ecke R E, Hu Y C, Mainieri R, Ahlers G 1995 Science 269 1704.
8. Zaikin A N, Zhabotinsky A M 1970 Nature 225 535.
9. Lee K J, Cox E C, Goldstein R E 1996 Phys. Rev. Lett. 76 1174.
10. Winfree A T 1987 When Time Breaks Down (Princeton: Princeton University Press).
11. Vanag V K, Epstein I R 2001 Science 294 835.
12. Gong Y F, Christini D J 2003 Phys. Rev. Lett. 90 088302.
13. Zaritski R M, Pertsov A M 2002 Phys. Rev. E 66 066120.
14. Goryachev A, Chate H, Kapral R 1998 Phys. Rev. Lett. 80 873.
15. Yuan G Y, Zhang G C, Wang G R, Chen S G 2005 Commun. Theor. Phys. 43 459.
16. Bar M, Eiswirth M 1993 Phys. Rev. E 48 R1635.
17. Brusch L, Torcini A, Bar M 2003 Phys. Rev. Lett. 91 108302.
18. Qian Y, Huang X D, Liao X H, Hu G 2010 Chin. Phys. B 19 050513.
19. Ouyang Q, Flesselles J M 1997 Nature 379 143.
20. Bar M, Or-Guil M 1999 Phys. Rev. Lett. 82 1160.
21. Steinbock O, Schutze J, Muller S C 1992 Phys. Rev. Lett. 68 248.
22. Wang P Y, Xie P 2000 Phys. Rev. E 61 5120.
23. Liu F C, Wang X F, Li X C, Dong L F 2007 Chin. Phys. B 16 2640.
24. Yuan G Y, Yang S P, Wang G R, Chen S G 2008 Chin. Phys. B 17 1925.
25. Zhang H, Hu B, Hu G 2003 Phys. Rev. E 68 026134.
26. Ma J, Jin W Y, Yi M, Li Y L 2008 Acta Phys. Sin. 57 2832 (in Chinese).
27. Luo X S 1999 Acta Phys. Sin. 48 402 (in Chinese).
28. Zhang X, Shen K 2001 Phys. Rev. E 63 046212.
29. Ma J, Wu N J, Ying H P, Pu Z S 2006 Chin. J. Comput. Phys. 23 243 (in Chinese).
30. Gao J H, Peng J H 2007 Chin. Phys. Lett. 24 1614.
31. Gao J H, Zheng Z G, Ma J 2008 Int. J. Mod. Phys. B 22 3855.
32. Ma J, Jia Y, Yi M, Tang J, Xia Y F 2009 Chaos Solitons Fract. 41 1331.
33. Yin X Z, Liu Y 2008 Acta Phys. Sin. 57 6844 (in Chinese).
34. Li B W, Zhang H, Ying H P, Hu G 2009 Phys. Rev. E 79 026220.
35. Wang B Y, Xu W, Xing Z C 2009 Acta Phys. Sin. 58 6590 (in Chinese).
36. Gao J H, Zhan M 2008 Commun. Theor. Phys. 49 669.
37. Gao J H, Xie L L, Zou W, Zhan M 2009 Phys. Rev. E 79 056214.
38. Gao J H, Xie L L, Peng J H 2009 Acta Phys. Sin. 58 5218 (in Chinese).