On bifurcations of spiral waves in the plane

Authors
Nikolaev, EV Biktashev, VN Holden, AV
Citation
Ev. Nikolaev et al., On bifurcations of spiral waves in the plane, INT J B CH, 9(8), 1999, pp. 1501-1516
Citations number
28
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
9
Issue
8
Year of publication
1999
Pages
1501 - 1516
Database
ISI
SICI code
0218-1274(199908)9:8<1501:OBOSWI>2.0.ZU;2-8
Abstract
We describe the simplest bifurcations of spiral waves in reaction-diffusion systems in the plane and present the list of model systems. One-parameter bifurcations of one-armed spiral waves are fold and Hopf bifurcations. Mult iarmed spiral waves may additionally undergo a period-doubling pitchfork bi furcation, when two congruent spiral wave solutions, having the "double" pe riod, branch from the original spiral wave at the bifurcation point.