Renormalization for cubic frequency invariant tori in Hamiltonian systems with two degrees of freedom

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dc.creatorChandre, C.
dc.date2002-03-29
dc.date.accessioned2026-07-07T05:34:01Z
dc.date.available2026-07-07T05:34:01Z
dc.descriptionWe consider the break-up of invariant tori in Hamiltonian systems with two degrees of freedom with a frequency which belongs to a cubic field. We define and construct renormalization-group transformations in order to determine the threshold of the break-up of these tori. A first transformation is defined from the continued fraction expansion of the frequency, and a second one is defined with a fixed frequency vector in a space of Hamiltonians with three degrees of freedom.
dc.identifierhttps://arxiv.org/abs/nlin/0203063
dc.identifierhttp://arxiv.org/abs/nlin/0203063
dc.identifierDiscrete and Continuous Dynamical Systems - Series B 2, 457 (2002)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80206
dc.subjectChaotic Dynamics
dc.titleRenormalization for cubic frequency invariant tori in Hamiltonian systems with two degrees of freedom
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