Homoclinic intersections and Mel'nikov method for perturbed sine-Gordon equation

We describe and characterize rigorously the homoclinic structure of the perturbed sine- Gordon equation under periodic boundary conditions. The existence of invariant manifolds for a perturbed sine-Gordon equation is established. Mel'nikov method, together with geometric analysis are used to as...

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Bibliographic Details

Main Author:	Vassilios M. Rothos
Format:	Default Preprint
Published:	2001
Subjects:	Other mathematical sciences not elsewhere classified sine-Gordon equation Melnikov method homoclinic orbits Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/689
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