Frozen spatial chaos induced by boundaries

Details Frozen spatial chaos induced by boundaries Frozen spatial chaos induced by boundaries

1999-06-09

arxiv.org/abs/chao-dyn/9906014v1

Phys. Rev. E 60, 6571-6579 (1999)

Nonlinear Sciences

Chaotic Dynamics

9 pages, 6 figures, submitted for publication; for related work visit http://www.imedea.uib.es/~victor

Scientific paper

10.1103/PhysRevE.60.6571

We show that rather simple but non-trivial boundary conditions could induce the appearance of spatial chaos (that is stationary, stable, but spatially disordered configurations) in extended dynamical systems with very simple dynamics. We exemplify the phenomenon with a nonlinear reaction-diffusion equation in a two-dimensional undulated domain. Concepts from the theory of dynamical systems, and a transverse-single-mode approximation are used to describe the spatially chaotic structures.

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