Paper Info
Title
Instabilities Of Wave Trains And Turing Patterns In Large Domains
Abstract
We classify generic instabilities of wave trains in reaction - diffusion systems on the real line as the wavenumber and system parameters are varied. We find three types of robust instabilities: Hopf with nonzero modulational wavenumber, sideband and spatio-temporal period-doubling. Near a fold, the only other robust instability mechanism, we show that all wave trains are necessarily unstable. We also discuss the special cases of homogeneous oscillations and reflection symmetric, stationary Turing patterns.
Year
DOI
Venue
2007
10.1142/S0218127407018683
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
wave trains, stability, reaction-diffusion systems, classification of instabilitie
Journal
17
Issue
ISSN
Citations 
8
0218-1274
5
PageRank 
References 
Authors
0.87
3
2
Name
Order
Citations
PageRank
Jens D. M. Rademacher1165.06
Arnd Scheel24714.78