Vanishing Twist near Focus-Focus Points

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dc.creatorDullin, Holger R.
dc.creatorSan, Vu Ngoc
dc.date2003-06-27
dc.date.accessioned2026-07-07T04:59:14Z
dc.date.available2026-07-07T04:59:14Z
dc.descriptionWe show that near a focus-focus point in a Liouville integrable Hamiltonian system with two degrees of freedom lines of locally constant rotation number in the image of the energy-momentum map are spirals determined by the eigenvalue of the equilibrium. From this representation of the rotation number we derive that the twist condition for the isoenergetic KAM condition vanishes on a curve in the image of the energy-momentum map that is transversal to the line of constant energy. In contrast to this we also show that the frequency map is non-degenerate for every point in a neighborhood of a focus-focus point.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0306392
dc.identifierhttp://arxiv.org/abs/math/0306392
dc.identifierNonlinearity, 17:1777--1786, 2004
dc.identifierdoi:10.1088/0951-7715/17/5/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67901
dc.subjectDynamical Systems
dc.subjectSymplectic Geometry
dc.subjectExactly Solvable and Integrable Systems
dc.subject37J35; 37J15; 37J40; 70H06; 70H08; 37G20
dc.titleVanishing Twist near Focus-Focus Points
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