Анализ пространственных структур в стохастически возмущенной модели реакция-диффузия

Abstract

In this paper we consider a stochastically perturbed Brusselator model with two spatial variables. For this reaction-diffusion model, the dependence of possible regimes of dynamics is investigated depending on the parameters of the system, including the intensity of random perturbations. The possibility of forming spatial structures caused by even small random perturbations is shown. A description of the shape of these structures and their characteristics are given. The phenomenon of stochastic transitions between different structures is investigated.