Hyperbolic Chaos of Turing Patterns

Details Hyperbolic Chaos of Turing Patterns Hyperbolic Chaos of Turing Patterns

2012-01-19

arxiv.org/abs/1201.4063v2

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures

Scientific paper

We study Turing patterns in an extended system governed by the equation of Swift-Hohenberg type. Due to external modulation of coefficients in the equation, Turing patterns of different length scales having relation 1:3 are appear in alternating manner. We demonstrate that the spatial phase of these patterns obey a strongly expanding Bernoulli map, and the corresponding chaos of Turing patterns is hyperbolic, associated with a Smale-Williams solenoid. This chaos is shown to be robust to variations of parameters and boundary conditions.

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