Spatial chaos of traveling waves has a given velocity.
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.
Centre de Physique Théorique, UMR 6207 CNRS-Université Aix-Marseille II-Université Aix-Marseille I-Université Sud Toulon-Var, Luminy, Case 907, 13288 Marseille Cedex 9, France.
Bastien
B
Fernandez
Beatriz
B
Luna
Edgardo
E
Ugalde