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

The Brusselator has been used as a prototype model for autocatalytic reactions and, in particular, for the Belousov-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 two 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.

Automated summary

By using nonlocally coupled Brusselators, this study reveals that classical Turing patterns can be recovered in the diffusive limit, while chimera states are produced in intermediate coupling ranges and appropriate parameter values. It demonstrates how the parameters of a typical nonlinear oscillator can be tuned to transition the coupled system from spatially stable Turing structures to dynamical spatiotemporal chimera states.