Reducing or enhancing chaos using periodic orbits

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dc.creatorBachelard, Romain
dc.creatorChandre, Cristel
dc.creatorLeoncini, Xavier
dc.date2006-01-19
dc.date.accessioned2026-07-07T06:59:36Z
dc.date.available2026-07-07T06:59:36Z
dc.descriptionA method to reduce or enhance chaos in Hamiltonian flows with two degrees of freedom is discussed. This method is based on finding a suitable perturbation of the system such that the stability of a set of periodic orbits changes (local bifurcations). Depending on the values of the residues, reflecting their linear stability properties, a set of invariant tori is destroyed or created in the neighborhood of the chosen periodic orbits. An application on a paradigmatic system, a forced pendulum, illustrates the method.
dc.identifierhttps://arxiv.org/abs/nlin/0601043
dc.identifierhttp://arxiv.org/abs/nlin/0601043
dc.identifierChaos 16 (2006) 023104
dc.identifierdoi:10.1063/1.2189157
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107809
dc.subjectChaotic Dynamics
dc.titleReducing or enhancing chaos using periodic orbits
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