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Wavelike patterns in one-dimensional coupled map lattices

✍ Scribed by Guowei He; André Lambert; Ricardo Lima

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
482 KB
Volume
103
Category
Article
ISSN
0167-2789

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✦ Synopsis

We investigate the existence of wavelike solution for the logistic coupled map lattices for which the spatiotemporal periodic patterns can be predicted by a simple two-dimensional mapping. The existence of such wavelike solutions is proved by the implicit function theorem with constraints. We also examine the stabilities of these wave solutions under perturbations of uniform small deformation type. We show that in some specific cases these perturbations are completely general. The technique used in this paper is also applicable to investigate other space-time regular patterns.

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