Mel'nikov Analysis of Homoclinic Chaos in a Perturbed sine-Gordon Equation

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dc.creatorRothos, Vassilios M.
dc.date1999-03-17
dc.date1999-07-20
dc.date.accessioned2026-07-07T02:35:40Z
dc.date.available2026-07-07T02:35:40Z
dc.descriptionWe describe and characterize rigorously the chaotic behavior of the sine-Gordon equation. The existence of invariant manifolds and the persistence of homoclinic orbits for a perturbed sine--Gordon equation are established. We apply a geometric method based on Mel'nikov's analysis to derive conditions for the transversal intersection of invariant manifolds of a hyperbolic point of the perturbed Poincare map.
dc.description25 pages, LaTeX, no figures
dc.identifierhttps://arxiv.org/abs/chao-dyn/9903023
dc.identifierhttp://arxiv.org/abs/chao-dyn/9903023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15697
dc.subjectChaotic Dynamics
dc.titleMel'nikov Analysis of Homoclinic Chaos in a Perturbed sine-Gordon Equation
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