From Turing patterns to chimera states in the 2D Brusselator model

Autor:	Provata, Astero
Rok vydání:	2022
Předmět:	Nonlinear Sciences - Chaotic Dynamics Nonlinear Sciences - Pattern Formation and Solitons Physics - Chemical Physics
Druh dokumentu:	Working Paper
DOI:	10.1063/5.0130539
Popis:	The Brusselator has been used as a prototype model for autocatalytic reactions, and in particular for the Belouzov- Zhabotinsky reaction. When coupled at the diffusive limit, the Brusselator undergoes a Turing bifurcation resulting in the formation of classical Turing patterns, such as spots, stripes and spirals in 2 spatial dimensions. In the present study we use generic nonlocally coupled Brusselators and show that in the limit of the coupling range R->1 (diffusive limit), the classical Turing patterns are recovered, while for intermediate coupling ranges and appropriate parameter values chimera states are produced. This study demonstrates how the parameters of a typical nonlinear oscillator can be tuned so that the coupled system passes from spatially stable Turing structures to dynamical spatiotemporal chimera states. Comment: 14 pages, 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.01297 Zobrazit plný text záznamu View this record from Arxiv