The Evans function for nonlocal equations
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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 |
| ID Code: | 1543 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:42 |
| Last Modified: | 28 Sep 2012 10:50 |
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