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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2009

Spatial chaos of traveling waves has a given velocity

Résumé

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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Dates et versions

hal-00411530 , version 1 (27-08-2009)
hal-00411530 , version 2 (12-03-2011)

Identifiants

  • HAL Id : hal-00411530 , version 2

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Bastien Fernandez, Beatriz Luna, Edgardo Ugalde. Spatial chaos of traveling waves has a given velocity. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2009, 80, pp.025203(R). ⟨hal-00411530v2⟩
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