Renormalization and destruction of $1/γ^2$ tori in the standard nontwist map

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dc.creatorApte, A.
dc.creatorWurm, A.
dc.creatorMorrison, P. J.
dc.date2002-10-29
dc.date.accessioned2026-07-07T05:34:23Z
dc.date.available2026-07-07T05:34:23Z
dc.descriptionExtending the work of del-Castillo-Negrete, Greene, and Morrison, Physica D {\bf 91}, 1 (1996) and {\bf 100}, 311 (1997) on the standard nontwist map, the breakup of an invariant torus with winding number equal to the inverse golden mean squared is studied. Improved numerical techniques provide the greater accuracy that is needed for this case. The new results are interpreted within the renormalization group framework by constructing a renormalization operator on the space of commuting map pairs, and by studying the fixed points of the so constructed operator.
dc.descriptionTo be Submitted to Chaos
dc.identifierhttps://arxiv.org/abs/nlin/0210068
dc.identifierhttp://arxiv.org/abs/nlin/0210068
dc.identifierChaos Vol 13(2) pp. 421-433. June 2003
dc.identifierdoi:10.1063/1.1555472
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80345
dc.subjectChaotic Dynamics
dc.titleRenormalization and destruction of $1/γ^2$ tori in the standard nontwist map
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