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The Evans function for nonlocal equations

Kapitula, T., Kutz, N. and Sandstede, B. (2004) The Evans function for nonlocal equations Indiana University Mathematics Journal, 53 (2004).

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Abstract

In recent studies the master mode-locking equation, a model for solid-state cavity laser that includes nonlocal terms, bifurcations from stationary to seemingly time-periodic solitary waves have been observed. To decide whether the mechanism is a Hopf bifurcation of a bifurcattion from the essential spectrum, a general framework for the Evans function for equations with nonlocal terms is developed and applied to the master mode-locking model.

Item Type: Article
Additional Information: Indiana University Mathematics Journal 53 (2004) 1095-1126
Uncontrolled Keywords: nonlocal equations, bifurcation, solitary waves, Evans function
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:42
Last Modified: 23 Sep 2013 18:33
URI: http://epubs.surrey.ac.uk/id/eprint/1543

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