Period-Doubling of Spiral Waves and Defects | Zendy

Björn Sandstede | Zendy; Arnd Scheel | Zendy

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Period-Doubling of Spiral Waves and Defects

Author(s) -

Björn Sandstede,

Arnd Scheel

Publication year - 2007

Publication title -

siam journal on applied dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.218

H-Index - 61

ISSN - 1536-0040

DOI - 10.1137/060668158

Subject(s) - period (music) , period doubling bifurcation , eigenfunction , spiral (railway) , bounded function , physics , belousov–zhabotinsky reaction , bifurcation , nonlinear system , mathematical analysis , mathematics , classical mechanics , optics , statistical physics , geometry , eigenvalues and eigenvectors , quantum mechanics , acoustics , thermodynamics

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.

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