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

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We 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.
25 pages, LaTeX, no figures

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Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/15697

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/chao-dyn/9903023
 http://arxiv.org/abs/chao-dyn/9903023

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arXiv