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

Phys Rev E Stat Nonlin Soft Matter Phys

Nanotechnology Research Institute, National Institute of Advanced Industrial Science and Technology (AIST), AIST Central 5-2, 1-1-1 Higashi, Tsukuba 305-8565, Japan.

Published: December 2008

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.

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http://dx.doi.org/10.1103/PhysRevE.78.066210DOI Listing

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