Time-periodic spatial chaos in the complex Ginzburg-Landau equation

Journal of Statistical Physics

Volumn 83, Issue 5-6, 1996, Pages 1165-1181

  Bazhenov, M ^a   Rabinovich, M ^a,b   Rubchinsky, L ^a,b  

^a INSTITUTE OF APPLIED PHYSICS   (Russian Federation)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Complex Ginzburg Landau equation; Extended systems; Nonlinear nonequilibrium medium; Spatial disorder; Synchronization

Indexed keywords

EID: 0030556140     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02179556     Document Type: Article

References (20)

1. M. V. Bazhenov, M. I. Rabinovich, and A. L. Fabrikant, In Proceedings of the KIT International Workshop on the Physics of Pattern Formation in Complex Dissipative Systems, S. Kai, ed. (World Scientific, Singapore, 1992), p. 361.
2. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence, (Springer-Verlag, Berlin, 1984).
3. A. S. Newell, Lect. Appl. Math. 15:157 (1974).
4. H. Sakaguchi, Prog. Theor. Phys. 84:792 (1990).
5. L. Gill, Nonlinearity 4:1213 (1991).
6. B. I. Shraiman, A. Pumir, W. Saarloos, P. C. Hohenberg, H. Chate, and M. Holen, Physica D 57:241 (1992).
7. M. V. Bazhenov, M. I. Rabinovich, and A. L. Fabrikant, Phys. Lett. A 163:87 (1992).
8. H. Chate, Nonlinearity 7:185 (1994).
9. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65(3):851 (1993).
10. K. Nozaki and N. Bekki, J. Phys. Soc. Jpn. 53:1581 (1984).
11. P. S. Hagan, SIAM J. Appl. Math. 42:762 (1982).
12. I. Aranson, L. Kramer, S. Popp, O. Stiller, and A. Weber, Phys. Rev. Lett. 70:3880 (1993).
13. A. Weber, L. Kramer, I. S. Aranson, and L. Aranson, Phys. Rev. A 46:R2992 (1992).
14. H. Sakaguchi, Prog. Theor. Phys. 85:417 (1991).
15. I. Aranson, L. Kramer, and A. Weber, Phys. Rev. Lett. 72:2316 (1994).
16. S. A. Orszag, Stud. Appl. Math. 20:293 (1971). C. Canuto, M. J. Hussaini, A. Quarteroni, and T. A. Zand, Spectral Methods in Fluid Dynamics (Springer, Berlin, 1988).
17. S. A. Orszag, Stud. Appl. Math. 20:293 (1971). C. Canuto, M. J. Hussaini, A. Quarteroni, and T. A. Zand, Spectral Methods in Fluid Dynamics (Springer, Berlin, 1988).
18. A. M. Fraser and H. L. Swinney, Phys. Rev. A 33:1134 (1986).
19. M. Bazhenov and M. Rabinovich, Physica D 73:318 (1994).
20. F. H. Willeboordse and K. Kaneko, Phys. Rev. Lett. 73:533 (1994).