Analysis of the mechanisms of the formation of spatial structures in the distributed stochastic Brusselator
Institute of Natural Sciences and Mathematics, Ural Federal University named after the first President of Russia B. N. Yeltsin, Russia, 620083, Ekaterinburg, Lenina 51, firstname.lastname@example.org, +7(953)6014858
The diffusion model of the Brusselator with one spatial variable is considered. It is known that in the parametric zone of Turing instability, this model exhibits stable spatial structures. The multistability of the deterministic system is investigated. The diversity of the spatial attractors is described and various scenarios of transitions are studied depending on the initial structure. It is shown that different intermediate spatial structures can be observed in transient processes. The influence of random perturbations on the mechanisms of the formation of structures was investigated. It is shown that in the zone of Turing stability, where only homogeneous solutions are the attractors of the deterministic model, new inhomogeneous spatial structures can be generated by random perturbations. In the zone of Turing instability, due to the system multistability, noise-induced transitions between attractors are observed. Mechanisms of such transitions were studied in dependence of the noise intensity.