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The Evans function for nonlocal equations

By T. Kapitula, N. Kutz and B. Sandstede

Abstract

<p>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. </p

Year: 2004
OAI identifier: oai:epubs.surrey.ac.uk:1543

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