Reaction-diffusion equations on a sphere: meandering of spiral waves

Jagannathan Gomatam, Faridon Amdjadi

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)

Abstract

Numerical integration of an excitable reaction-diffusion (RD) system on a sphere is presented. The evolution of counterrotating double spiral waves on this manifold is studied and it is shown that tips of the spiral can either perform a meandering motion or rigidly rotate around a fixed center, depending on the system control parameter. This transition in dynamics is also illustrated by considering the phase plane of the solutions of the RD system.

Original languageEnglish
Pages (from-to)3913-3919
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume56
Issue number4
DOIs
Publication statusPublished - 1 Oct 1997

ASJC Scopus subject areas

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

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