Local wave grouping in a parameter-gradient system and its formation mechanism

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

Volumn 77, Issue 1, 2008, Pages

  Liao, Huimin ^a   Wu, Yangle ^a   Yu, Jianglei ^a   Ouyang, Qi ^a,b,c  

^a PEKING UNIVERSITY   (China)

^b Beijing Hong Kong Singapore Joint Center for Nonlinear and Complex Systems (Singapore)   (Singapore)

^c Center for Theoretical Biology   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BELOUSOV-ZHABOTINSKY (BZ) REACTION-DIFFUSION SYSTEM; EXCITABILITY GRADIENTS;

CATALYSIS; COMPUTER SIMULATION; CONCENTRATION (PROCESS); DIFFUSION; DOPPLER EFFECT; REACTION KINETICS;

AGENTS;

EID: 38749127962     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.016206     Document Type: Article

References (31)

1. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.65.851 65, 851 (1993).
2. G. S. Skinner and H. L. Swinney, Physica D PDNPDT 0167-2789 10.1016/0167-2789(91)90048-E 48, 1 (1991).
3. I. Lengyel and I. R. Epstein, Science SCIEAS 0036-8075 10.1126/science.251.4994.650 251, 650 (1991).
4. T. Sakurai, E. Mihaliuk, F. Chirila, and K. Showalter, Science SCIEAS 0036-8075 10.1126/science.1071265 296, 2009 (2002).
5. K. J. Lee, E. C. Cox, and R. E. Goldstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1174 76, 1174 (1996).
6. E. L. Koschmieder and S. G. Pallas, Int. J. Heat Mass Transfer IJHMAK 0017-9310 10.1016/0017-9310(74)90181-1 17, 991 (1974).
7. Q. Ouyang and H. L. Swinney, Chaos CHAOEH 1054-1500 10.1063/1.165851 1, 411 (1991).
8. Q. Ouyang, H. L. Swinney, and G. Li, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.1047 84, 1047 (2000).
9. L.-Q. Zhou and Q. Ouyang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1650 85, 1650 (2000).
10. H.-M. Liao, L.-Q. Zhou, C.-X. Zhang, and Q. Ouyang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.238301 95, 238301 (2005).
11. G. Li, Q. Ouyang, V. Petrov, and H. L. Swinney, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2105 77, 2105 (1996).
12. V. Dufiet and J. Boissonade, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.53.4883 53, 4883 (1996).
13. B. Sandstede and A. Scheel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.171 86, 171 (2001).
14. D. A. Vasquez, W. Horsthemke, and P. McCarty, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.460682 94, 3829 (1991).
15. J. P. Keener and J. J. Tyson, Physica D PDNPDT 0167-2789 10.1016/0167-2789(86)90007-2 21, 307 (1986).
16. W. Jahnke and A. T. Winfree, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127491000348 1, 445 (1991).
17. A. L. Belmonte, Q. Ouyang, and J.-M. Flesselles, J. Phys. II JPAHER 1155-4312 10.1051/jp2:1997195 7, 1425 (1997).
18. M. Dowle, R. M. Mantel, and D. Barkley, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127497001692 7, 2529 (1997).
19. Z. Noszticzius, W. Horsthemke, W. D. McCormick, H. L. Swinney, and W. Y. Tam, Nature (London) NATUAS 0028-0836 10.1038/329619a0 329, 619 (1987).
20. N. Kreisberg, W. D. McCormick, and H. L. Swinney, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.457369 91, 6532 (1989).
21. E. Dulos, J. Boissonade, and P. De Kepper, in Nonlinear Wave Processes in Excitable Media, edited by, A. V. Holden, M. Markus, and, H. G. Othmer, (Plenum, New York, 1991).
22. E. Dulos, J. Boissonade, and P. De Kepper, Physica A PHYADX 0378-4371 10.1016/0378-4371(92)90259-S 188, 120 (1992).
23. A. Goryachev, H. Chate, and R. Kapral, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.873 80, 873 (1998).
24. A. Goryachev, H. Chate, and R. Kapral, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S021812749900170X 9, 2243 (1999).
25. J. Davidsen, R. Erichsen, R. Kapral, and H. Chate, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.018305 93, 018305 (2004).
26. M. Zhan and R. Kapral, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72. 046221 72, 046221 (2005).
27. K. J. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2907 79, 2907 (1997).
28. J. S. Park and K. J. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.5393 83, 5393 (1999).
29. J. S. Park and K. J. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.224501 88, 224501 (2002).
30. J. S. Park, S. J. Woo, and K. J. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.098302 93, 098302 (2004).
31. J. Rinzel and K. Maginu, in Nonequilibrium Dynamics in Chemical Systems, edited by, C. Vidal, and, A. Pacault, (Springer, Berlin, 1984), p. 107.