Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics, and Stokes transitions

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dc.creatorSchomerus, Henning
dc.date1997-11-12
dc.date.accessioned2026-07-07T02:35:18Z
dc.date.available2026-07-07T02:35:18Z
dc.descriptionWe investigate classical and semiclassical aspects of codimension--two bifurcations of periodic orbits in Hamiltonian systems. A classification of these bifurcations in autonomous systems with two degrees of freedom or time-periodic systems with one degree of freedom is presented. We derive uniform approximations to be used in semiclassical trace formulas and determine also certain global bifurcations in conjunction with Stokes transitions that become important in the ensuing diffraction catastrophe integrals.
dc.description18 pages RevTeX, 10 figures
dc.identifierhttps://arxiv.org/abs/chao-dyn/9711013
dc.identifierhttp://arxiv.org/abs/chao-dyn/9711013
dc.identifierJ. Phys. A: Math. Gen. 31 (1998) 4167-4196
dc.identifierdoi:10.1088/0305-4470/31/18/008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/15562
dc.subjectChaotic Dynamics
dc.titlePeriodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics, and Stokes transitions
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