Homoclinic transition to chaos in the Ueda oscillator with external forcing

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dc.creatorLitak, Grzegorz
dc.creatorSyta, Arkadiusz
dc.creatorBorowiec, Marek
dc.date2006-10-09
dc.date.accessioned2026-07-07T07:29:42Z
dc.date.available2026-07-07T07:29:42Z
dc.descriptionWe 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.
dc.description16 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/nlin/0610018
dc.identifierhttp://arxiv.org/abs/nlin/0610018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118213
dc.subjectChaotic Dynamics
dc.titleHomoclinic transition to chaos in the Ueda oscillator with external forcing
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