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

Schomerus, Henning (1998) Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics and Stokes transitions. Journal of Physics A: Mathematical and General, 31. pp. 4167-9262. ISSN 1361-6447

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Abstract

We 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 formulae and determine also certain global bifurcations in conjunction with Stokes transitions that become important in the ensuing diffraction catastrophe integrals.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Physics A: Mathematical and General
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100/3109
Subjects:
ID Code:
709
Deposited By:
Deposited On:
31 Oct 2007
Refereed?:
Yes
Published?:
Published
Last Modified:
04 Dec 2020 00:55