Period-doubling of spiral waves and defects

Björn Sandstede, Arnd Scheel

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Motivated by experimental observations in the light-sensitive Belousov-Zhabotinsky reaction and subsequent numerical works, we discuss period-doubling bifurcations of spiral waves and other coherent structures. We report on explanations of the observed phenomena which involve a detailed analysis of spectra, and of the associated eigenfunctions, of defects on bounded and unbounded domains.

Original languageEnglish (US)
Pages (from-to)494-547
Number of pages54
JournalSIAM Journal on Applied Dynamical Systems
Volume6
Issue number2
DOIs
StatePublished - 2007

Keywords

  • Period-doubling
  • Spiral waves
  • Wave trains

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