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| HAL : hal-00411530, version 1 |
| Fiche détaillée |  Récupérer au format |
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| Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 80 (2009) 025203(R) |
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| Spatial chaos of traveling waves has a given velocity |
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| Bastien Fernandez 1Beatriz Luna 2 |
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| (27/08/2009) |
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| We study the complexity of stable waves in unidirectional bistable coupled map lattices as a test tube to spatial chaos of traveling patterns in open flows. Numerical calculations reveal that, grouping patterns into sets according to their velocity, at most one set of waves has positive topological entropy for fixed parameters. By using symbolic dynamics and shadowing, we analytically determine velocity-dependent parameter domains of existence of pattern families with positive entropy. These arguments provide a method to exhibit chaotic sets of stable waves with arbitrary velocity in extended systems. |
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| 1 : | Centre de Physique Théorique (CPT) |
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CNRS : UMR6207 – CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université du Sud - Toulon - Var |
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| 2 : | Instituto de Fisica (IF) |
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Universidad Autonoma de San Luis Potosi |
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| Domaine | : | Science non linéaire/Formation de Structures et Solitons |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00411530, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00411530/fr/ | |
| oai:hal.archives-ouvertes.fr:hal-00411530_v1 | |
| Contributeur : Bastien Fernandez | |
| Soumis le : Jeudi 27 Août 2009, 23:32:10 | |
| Dernière modification le : Vendredi 28 Août 2009, 08:42:15 | |
