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Download fileHomoclinic intersections and Mel'nikov method for perturbed sine-Gordon equation
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posted on 2006-01-17, 10:41 authored by Vassilios M. RothosWe 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 assess the persistence of the homoclinic orbits under bounded
and time-periodic perturbations.
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