Lancaster EPrints

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

[img]
Preview
PDF (a81804.pdf)
Download (476Kb) | Preview

    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: Article
    Journal or Publication Title: Journal of Physics A: Mathematical and General
    Subjects: UNSPECIFIED
    Departments: Faculty of Science and Technology > Physics
    ID Code: 709
    Deposited By: Dr Henning Schomerus
    Deposited On: 31 Oct 2007
    Refereed?: Yes
    Published?: Published
    Last Modified: 17 Sep 2013 08:23
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/709

    Actions (login required)

    View Item