S. P. Korolyov Samara State Aerospace University

Full text of article: Russian language.

Abstract:
Generalized two-component of reaction-diffusion system in external fluctuated environment is considered. Ginzburg-Landau equations under condition of soft mode instability are proposed. The properties of this model in neighborhood of Turing bifurcation point were analyzed. Numerical investigation of specific reaction-diffusion systems was conducted. Agreement of the analytical and numerical results is shown.

Key words:
reaction-diffusion system, multiplicative fluctuations of parameters, spatial pattern, unstable modes, Ginzburg-Landau equation, noise-induced parametrical excitation, simulation.

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