The Evans function for nonlocal equations
Todd KapitulaNathan KutzBjorn Sandstede
35B3535Q55Evans functionnonlocal equationsmaster modelocking equation
In recent studies of 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 or a bifurcation 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.
Indiana University Mathematics Journal
2004
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10.1512/iumj.2004.53.2431
10.1512/iumj.2004.53.2431
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Indiana Univ. Math. J. 53 (2004) 1095 - 1126
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