Localised control for non-resonant Hamiltonian systems

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dc.creatorVittot, Michel
dc.creatorChandre, Cristel
dc.creatorCiraolo, Guido
dc.creatorLima, Ricardo
dc.date2004-05-24
dc.date.accessioned2026-07-07T05:35:35Z
dc.date.available2026-07-07T05:35:35Z
dc.descriptionWe present a method of localised control of chaos in Hamiltonian systems. The aim is to modify the perturbation locally by a small control term which makes the controlled Hamiltonian more regular. We provide an explicit expression for the control term which is able to recreate invariant (KAM) tori without modifying other parts of phase space. We apply this method of localised control to a forced pendulum model, to the delta-kicked rotor (standard map) and to a non-twist Hamiltonian.
dc.identifierhttps://arxiv.org/abs/nlin/0405056
dc.identifierhttp://arxiv.org/abs/nlin/0405056
dc.identifierNonlinearity 18 (2004) 423
dc.identifierdoi:10.1088/0951-7715/18/1/021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80743
dc.subjectChaotic Dynamics
dc.subjectDynamical Systems
dc.titleLocalised control for non-resonant Hamiltonian systems
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