Nonlinear convective instability of Turing-unstable fronts near onset: A case study.
Ghazaryan, A and Sandstede, Bjorn (2007) Nonlinear convective instability of Turing-unstable fronts near onset: A case study. Dynamical Systems . pp. 319-347.
Fronts are travelling waves in spatially extended systems that connect two different spatially homogeneous rest states. If the rest state behind the front undergoes a supercritical Turing instability, then the front will also destabilize. On the linear level, however, the front will be only convectively unstable since perturbations will be pushed away from the front as it propagates. In other words, perturbations may grow but they can do so only behind the front. The goal of this paper is to prove for a specific model system that this behaviour carries over to the full nonlinear system.
|Additional Information:||This is the authors' preprint of an article published in its final version in SIAM Journal on Applied Dynamical Systems 6 319-347|
|Divisions:||Faculty of Engineering and Physical Sciences > Mathematics|
|Deposited By:||Mr Adam Field|
|Deposited On:||27 May 2010 15:41|
|Last Modified:||28 Sep 2012 10:50|
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