Symbolic Codes for Rotational Orbits

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dc.creatorDullin, Holger R.
dc.creatorMeiss, James D.
dc.creatorSterling, David G.
dc.date2004-08-06
dc.date.accessioned2026-07-07T05:35:52Z
dc.date.available2026-07-07T05:35:52Z
dc.descriptionSymbolic codes for rotational orbits and "islands-around-islands" are constructed for the quadratic, area-preserving Henon map. The codes are based upon continuation from an anti-integrable limit, or alternatively from the horseshoe. Given any sequence of rotation numbers we obtain symbolic sequences for the corresponding elliptic and hyperbolic rotational orbits. These are shown to be consistent with numerical evidence. The resulting symbolic partition of the phase space consists of wedges constructed from images of the symmetry lines of the map.
dc.description47 pages, 23 figures
dc.identifierhttps://arxiv.org/abs/nlin/0408015
dc.identifierhttp://arxiv.org/abs/nlin/0408015
dc.identifierSIADS, 4:515--562,2005
dc.identifierdoi:10.1137/040612877
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80798
dc.subjectChaotic Dynamics
dc.titleSymbolic Codes for Rotational Orbits
dc.typetext

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