abstract

• 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. © 2009 The American Physical Society.

authors

• Fernandez B.
• Luna B.
• Ugalde Saldaña Edgardo

publication date

• 2009-01-01

published in

• Physical Review E - Statistical, Nonlinear, and Soft Matter Physics  Journal

keywords

• Entropy; Topology; Arbitrary velocities; Coupled map lattices; Extended systems; Numerical calculation; Symbolic Dynamics; Topological entropy; Traveling wave; Velocity-dependent; Velocity

Digital Object Identifier (DOI)

• 10.1103/PhysRevE.80.025203

start page

end page

volume

• 80

issue

• 2