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Uniform approximations for pitchfork bifurcation sequences

Kaidel, Jörg and Brack, Matthias (2004) Uniform approximations for pitchfork bifurcation sequences. Physical Review E 70, 016206.

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Abstract

In non-integrable Hamiltonian systems with mixed phase space and discrete symmetries, sequences of pitchfork bifurcations of periodic orbits pave the way from integrability to chaos. In extending the semiclassical trace formula for the spectral density, we develop a uniform approximation for the combined contribution of pitchfork bifurcation pairs. For a two-dimensional double-well potential and ...

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Item Type:Article
Date:2004
Institutions:Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Matthias Brack
Projects:Graduiertenkolleg Nichtlinearität und Nichtgleichgewicht
Identification Number:
ValueType
10.1103/PhysRevE.70.016206DOI
nlin.CD/0308026arXiv ID
Related URLs:
URLURL Type
http://arxiv.org/abs/nlin.CD/0308026Preprint
Subjects:500 Science > 530 Physics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner: Redakteur Physik
Deposited On:20 Mar 2007
Last Modified:05 Aug 2009 13:30
Item ID:1653
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