Coexisting stable patterns in a reaction-diffusion system with reversible Gray-Scott dynamics

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Dec;78(6 Pt 2):066210. doi: 10.1103/PhysRevE.78.066210. Epub 2008 Dec 16.

Abstract

It is unlikely that a dissipative reaction-diffusion system exhibits static domains composed of different pattern elements. So far as we know, there is only one exception in the energy conserving system: the generalized Swift-Hohenberg (GSH) system [M'F. Hilali, Phys. Rev. E 51, 2049 (1995)]. Our paper reports that both a spot-domain and a line-domain coexist in a dissipative reaction-diffusion system with the reversible Gray-Scott dynamics. The system has the features that a local perturbation induces the self-rearrangement of the pattern elements and/or self-replication of spots. These features and controllability of the pattern are different from those in the GSH system.

Publication types

  • Research Support, Non-U.S. Gov't