Формирование паттернов и индуцированные шумом переходы в модели осциллятора Хиггинса с диффузией

Abstract

A distributed variant of the Higgins glycolytic model with the diffusion is considered. A parametrical description of the zone with Turing instability is found. By computer simulations a process of the spatial pattern formation is studied. The multistability of the distributed Higgins model was discovered and the variety of patterns and their amplitude characteristics was described. For the stochastic variant of this model, noise-induced transitions between coexisting patterns and the phenomenon of “stochastic preference” are discussed.