Abstract

An influence of random disturbances on the pattern formation in reaction--diffusion systems is studied.

As a basic model, we consider the distributed Brusselator with one spatial variable. A coexistence of the stationary non-homogeneous spatial structures in the zone of Turing instability is demonstrated. A numerical parametric analysis of shapes, sizes of deterministic pattern-attractors and their bifurcations is presented. Investigating the corporate influence of the multistability and stochasticity, we study phenomena of noise-induced transformation and generation of patterns.

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