Spatial Patterns Induced Purely by Dichotomous Disorder

Abstract

We study conditions under which spatially extended systems with coupling a la Swift-Hohenberg exhibit spatial patterns induced purely by the presence of quenched dichotomous disorder. Complementing the theoretical results based on a generalized mean-field approximation, we also present numerical simulations of particular dynamical systems that exhibit the proposed phenomenology.

References in corpus (3)

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• Order parameter expansion study of synchronous firing induced by quenched noise in the active rotator model
• Dichotomous Markov noise: Exact results for out-of-equilibrium systems. A review