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 language | English (US) |
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Pages (from-to) | 494-547 |
Number of pages | 54 |
Journal | SIAM Journal on Applied Dynamical Systems |
Volume | 6 |
Issue number | 2 |
DOIs | |
State | Published - 2007 |
Keywords
- Period-doubling
- Spiral waves
- Wave trains