Homoclinic transition to chaos in the Ueda oscillator with external forcing

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We examine the Melnikov criterion for transition to chaos in case of a single degree of freedom nonlinear oscillator with the Ueda well potential and an external periodic excitation term. Using effective Hamiltonian we have examined homoclinic orbits and cross-sections of stable and unstable manifolds which gave the condition of transition to chaos through a homoclinic bifurcation.
16 pages, 9 figures

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Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/118213

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0610018
 http://arxiv.org/abs/nlin/0610018

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arXiv