Meandering instability of a spiral interface in the free boundary limit

Igor Mitkov, Igor Aranson, David Kessler

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

The two-component reaction-diffusion excitable medium is treated numerically in the free boundary limit for the fast field. We find that the spiral interface is stable for a sufficiently high diffusion constant of the slow field. The spiral wave (interface) undergoes a core-meander instability via a forward Hopf bifurcation as the diffusion constant decreases. A further decrease of the diffusion constant is found to result in the onset of hypermeandering and spiral breakup. We demonstrate quantitative convergence of the dynamics of reaction-diffusion system to its free boundary limit.

Original languageEnglish (US)
Pages (from-to)6065-6069
Number of pages5
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume54
Issue number6
DOIs
StatePublished - Jan 1 1996

All Science Journal Classification (ASJC) codes

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

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