The spatial logistic map as a simple prototype for spatiotemporal chaos

Chaos

Volumn 13, Issue 2, 2003, Pages 533-540

  Willeboordse, Frederick H ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

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[No Author keywords available]

Indexed keywords

EID: 14944377481     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1568692     Document Type: Article

References (22)

1. J. P. Crutchfield and K. Kaneko, Directions in Chaos (World Scientific, Singapore, 1987).
2. K. Kaneko, Prog. Theor. Phys. 72, 480 (1984).
3. K. Kaneko, Physica D 34, 1 (1989).
4. K. Kaneko, Physica D 77, 456 (1994).
5. F. H. Willeboordse, Phys. Rev. E 47, 1419 (1993).
6. K. Konishi, H. Kokame, and K. Hirata, Phys. Rev. E 62, 6383 (2000).
7. Y. Kuramoto and H. Nakao, Phys. Rev. Lett. 76, 4352 (1996).
8. N. B. Ouchi and K. Kaneko, Chaos 10, 359 (2000).
9. S. P. Kuznetsov and E. Mosekilde, Physica A 291, 299 (2001).
10. S. P. Kuznetsov, in Theory and Applications of Coupled Map Lattices, edited by K. Kaneko (Wiley, New York, 1993), p. 50.
11. A. Crisanti, M. Falcioni, and A. Vulpiani, Phys. Rev. Lett. 76, 612 (1996).
12. A. Pikovsky, M. Rosenblum, and J. Kurths, Europhys. Lett. 34, 165 (1996).
13. A. Pikovsky and J. Kurths, Physica D 76, 411 (1994).
14. O. Popovych, A. Pikovsky, and Y. Maistrenko, Physica D 168, 106 (2002).
15. F. H. Willeboordse and K. Kaneko, Phys. Rev. Lett. 73, 533 (1994).
16. F. H. Willeboordse, Phys. Rev. E 65, 026202 (2002).
17. F. H. Willeboordse, Chaos, Solitons Fractals 2, 609 (1992).
18. F. H. Willeboordse, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 721 (1992).
19. I. Shimada and T. Nagashima, Prog. Theor. Phys. 61, 1605 (1979).
20. R. Deissler and K. Kaneko, Phys. Lett. A 119, 397 (1987).
21. S. Isola, A. Politi, S. Ruffo, and A. Torcini, Phys. Lett. A 143, 365 (1990).
22. F. H. Willeboordse, Phys. Lett. A 183, 187 (1993).