Analytical approach to the drift of the tips of spiral waves in the complex Ginzburg-Landau equation

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

Volumn 67, Issue 1 2, 2003, Pages 162141-162145

  Zhang, Shengli ^a,b   Hu, Bambi ^b,c   Zhang, Hong ^b  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

^c University of Houston   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANGLE MEASUREMENT; BROWNIAN MOVEMENT; COMPUTER SIMULATION; DIFFUSION; ELECTRIC FIELDS; LAPLACE TRANSFORMS; PERTURBATION TECHNIQUES; SPURIOUS SIGNAL NOISE;

COMPLEX GINZBURG-LANDAU EQUATION (CGLE); SPIRAL WAVES;

WAVE PROPAGATION;

EID: 0037718268     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (33)

1. A.T. Winfree, When Time Breaks Down (Princeton University Press, Princeton, NJ, 1987); J. Murray, Mathematical Biology (Springer, Berlin, 1989).
2. A.T. Winfree, When Time Breaks Down (Princeton University Press, Princeton, NJ, 1987); J. Murray, Mathematical Biology (Springer, Berlin, 1989).
3. Chemical Waves and Patterns, edited by R. Kapral and K. Showalter (Kluwer Academic, Dordrecht, 1995).
4. M.C. Cross and P.C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
5. S. Jakubith, H.H. Rotermund, W. Engel, A. von Oertzen, and G. Ertl, Phys. Rev. Lett. 65, 3013 (1990).
6. K.J. Lee, E.C. Cox, and R.E. Goldstein, Phys. Rev. Lett. 76, 1174 (1996).
7. J.M. Davidenko, A.V. Pertsov, R. Salamonz, W. Baxter, and J. Jalife, Nature (London) 355, 349 (1992).
8. W. Jahnke, W.E. Skagga, and A.T. Winfree, J. Chem. Phys. 93, 740 (1989); T. Plesser, S.C. Muller, and B. Hess, J. Phys. Chem. 94, 7501 (1990); G.S. Skinner and H.L. Swinney, Physica D 48, 1 (1991).
9. W. Jahnke, W.E. Skagga, and A.T. Winfree, J. Chem. Phys. 93, 740 (1989); T. Plesser, S.C. Muller, and B. Hess, J. Phys. Chem. 94, 7501 (1990); G.S. Skinner and H.L. Swinney, Physica D 48, 1 (1991).
10. W. Jahnke, W.E. Skagga, and A.T. Winfree, J. Chem. Phys. 93, 740 (1989); T. Plesser, S.C. Muller, and B. Hess, J. Phys. Chem. 94, 7501 (1990); G.S. Skinner and H.L. Swinney, Physica D 48, 1 (1991).
11. V. Perez-Munuzuri, R. Aliev, B. Vasiev, V. Perez-Villar, and V.I. Krinsky, Nature (London) 353, 740 (1991).
12. G. Li, Q. Ouyang, V. Petrov, and H.L. Swinney, Phys. Rev. Lett. 77, 2105 (1996).
13. L.Q. Zhou and Q. Ouyang, Phys. Rev. Lett. 85, 1650 (2000).
14. S. Nettesheim, A. von Oertzen, H.H. Rotermund, and G. Ertl, J. Chem. Phys. 98, 9977 (1993).
15. Fibrillations in Normal Ventricular Myocardium, special issue of Chaos 8 (1998).
16. O. Steinbock, J. Schütze, and S.C. Müller, Phys. Rev. Lett. 68, 248 (1992); A. Belmonte and J.M. Flesselles, Europhys. Lett. 32, 267 (1995).
17. O. Steinbock, J. Schütze, and S.C. Müller, Phys. Rev. Lett. 68, 248 (1992); A. Belmonte and J.M. Flesselles, Europhys. Lett. 32, 267 (1995).
18. M. Gabbay, E. Ott, and P.N. Guzdar, Phys. Rev. Lett. 78, 2012 (1997); Phys. Rev. E 59, 2443 (1999).
19. M. Gabbay, E. Ott, and P.N. Guzdar, Phys. Rev. Lett. 78, 2012 (1997); Phys. Rev. E 59, 2443 (1999).
20. G.V. Osipov, B.V. Shulgin, and J.J. Collins, Phys. Rev. E 58, 6955 (1998); G.V. Osipov and J.J. Collins, ibid. 60, 54 (1999).
21. G.V. Osipov, B.V. Shulgin, and J.J. Collins, Phys. Rev. E 58, 6955 (1998); G.V. Osipov and J.J. Collins, ibid. 60, 54 (1999).
22. I.S. Aranson, H. Chaté, and L.-H. Tang, Phys. Rev. Lett. 80, 2646 (1998).
23. M. Wellner, A.M. Pertsov, and J. Jalife, Phys. Rev. E 59, 5192 (1999).
24. I. Sendiña-Nadal, S. Alonso, V. Pérez-Muñuzuri, M. Gómez-Gesteira, V. Pérez-Villar, L. Ramirez-Piscina, J. Casademunt, J.M. Sancho, and F. Sagués, Phys. Rev. Lett. 84, 2734 (2000).
25. I.V. Biktasheva, Phys. Rev. E 62, 8800 (2000).
26. B. Sandstede and A. Scheel, Phys. Rev. Lett. 86, 171 (2001).
27. O.-U. Kheowan, V.S. Zykov, O. Rangsiman, and S.C. MÜller, Phys. Rev. Lett. 86, 2170 (2001).
28. B. Hu, G. Hu, J.-H. Xiao, and H. Zhang (unpublished).
29. I.S. Aranson and L. Kramer, Rev. Mod. Phys. 74, 99 (2002).
30. Y. Kuramoto, Chemical Oscillation, Waves and Turbulence (Springer, Berlin, 1984).
31. A.C. Newell, T. Passot, and J. Laga, Annu. Rev. Fluid Mech. 25, 399 (1993).
32. L.M. Pismen, Vortices in Nonlinear Field (Oxford Science, London, 1999).
33. P.S. Hagan, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 42, 762 (1982).