4.7 Article

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

Journal

PHYSICAL REVIEW E
Volume 78, Issue 6, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.78.066210

Keywords

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Funding

  1. Core Research for Evolutional Science and Technology (CREST), Japan Science and Technology Agency (JST)
  2. Grants-in-Aid for Scientific Research [20111002] Funding Source: KAKEN

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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 et al., 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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