Absolute versus convective instability of spiral waves

Björn Sandstede, Arnd Scheel

Research output: Contribution to journalArticlepeer-review

63 Scopus citations

Abstract

Absolute and convective instabilities of spirals are investigated using the continuous and the so-called absolute spectrum. It is shown that the nature of transport, induced by an absolute instability, is determined by spectral data of the asymptotic wave trains. The results are applied to core and far-field breakup of spiral waves in excitable and oscillatory media.

Original languageEnglish (US)
Pages (from-to)7708-7714
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume62
Issue number6
DOIs
StatePublished - 2000
Externally publishedYes

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