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Frozen spatial chaos induced by boundaries

Victor M. Eguiluz·Emilio Hernandez-Garcia·Oreste Piro·Salvador Balle
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Abstract

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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Victor M. Eguiluz, Emilio Hernandez-Garcia, Oreste Piro, Salvador Balle. 1999-06-09. Frozen spatial chaos induced by boundaries. https://doi.org/10.1103/physreve.60.6571

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