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).
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.
|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|
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