Resonance tongues and patterns in periodically forced reaction-diffusion systems

Anna L. Lin, Aric Hagberg, Ehud Meron, Harry L. Swinney

Research output: Contribution to journalArticlepeer-review

67 Scopus citations

Abstract

The different types of resonant and near-resonant patterns which form in a light-sensitive Belousov-Zhabotinsky (BZ) reaction in response to a spatially homogeneous time-periodic perturbation with light, were studied. An experimental phase diagram was constructed in the forcing frequency and amplitude parameter plane of the resonant and nearly resonant m:n responses. Resonant pattern solutions consisted of standing waves connecting regions of different phases. A forced reaction-diffusion model, modified FitzHugh-Nagumo equations was introduced. The numerical simulations of the model show that the resonant and near-resonant patterns are similar to the BZ chemical system.

Original languageEnglish
Article number066217
Pages (from-to)066217-1-066217-10
JournalPhysical Review E
Volume69
Issue number6 2
DOIs
StatePublished - 1 Jun 2004

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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