Phase resetting dynamics for a discrete reaction-diffusion model

Phase resetting dynamics for a discrete reaction-diffusion model

Publication Type:

Journal Article

Authors:

Chee, M.-N.; Kapral, R.; Whittington, S.G.

Source:

The Journal of Chemical Physics, Volume 92, Number 12, p.7315-7322 (1990)

URL:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-5544240764&doi=10.1063%2f1.458216&partnerID=40&md5=c711e4c9274cf73c18e1b8a774437b4f

Abstract:

The results of a study of spatial pattern formation in a two-dimensional oscillatory reaction-diffusion system are presented. The calculations are carried out on a discrete model of the Brusselator reaction. The system responds to inhomogeneous perturbations in two different ways. For most perturbations it relaxes back to a spatially homogeneous state with a phase shift. However, special perturbations produce persistent structures which consist of spiral waves and target patterns. The nature of these spatio-temporal states is discussed. © 1990 American Institute of Physics.