https://doi.org/10.1140/epjb/e2019-100291-4
Regular Article
Stochastic Higgins model with diffusion: pattern formation, multistability and noise-induced preference
Ural Federal University,
Lenina ave., 51,
Ekaterinburg
620000, Russia
a e-mail: irina.bashkirtseva@urfu.ru
Received:
24
March
2019
Received in final form:
6
September
2019
Published online: 15 October 2019
A distributed variant of the Higgins glycolytic model with the diffusion is considered. A parametric 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 were described. In the quantitative analysis of the transient processes with varying spatial modality, the method of harmonic coefficients is used. For the stochastic variant of this model with multiplicative random disturbances, noise-induced transitions between coexisting patterns and the phenomenon of “stochastic preference” are discussed.
Key words: Statistical and Nonlinear Physics
© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2019