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

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Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics and Stokes transitions. / Schomerus, Henning.
In: Journal of Physics A: Mathematical and General , Vol. 31, 1998, p. 4167-9262.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Schomerus, H 1998, 'Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics and Stokes transitions.', Journal of Physics A: Mathematical and General , vol. 31, pp. 4167-9262. https://doi.org/10.1088/0305-4470/31/18/008

APA

Schomerus, H. (1998). Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics and Stokes transitions. Journal of Physics A: Mathematical and General , 31, 4167-9262. https://doi.org/10.1088/0305-4470/31/18/008

Vancouver

Schomerus H. Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics and Stokes transitions. Journal of Physics A: Mathematical and General . 1998;31:4167-9262. doi: 10.1088/0305-4470/31/18/008

Author

Schomerus, Henning. / Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics and Stokes transitions. In: Journal of Physics A: Mathematical and General . 1998 ; Vol. 31. pp. 4167-9262.

Bibtex

@article{19bc359fae4045618ad1128cad6de8b9,
title = "Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics and Stokes transitions.",
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.",
author = "Henning Schomerus",
year = "1998",
doi = "10.1088/0305-4470/31/18/008",
language = "English",
volume = "31",
pages = "4167--9262",
journal = "Journal of Physics A: Mathematical and General ",
issn = "1361-6447",
publisher = "IOP Publishing Ltd",

}

RIS

TY - JOUR

T1 - Periodic orbits near bifurcations of codimension two: Classical mechanics, semiclassics and Stokes transitions.

AU - Schomerus, Henning

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

U2 - 10.1088/0305-4470/31/18/008

DO - 10.1088/0305-4470/31/18/008

M3 - Journal article

VL - 31

SP - 4167

EP - 9262

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 1361-6447

ER -