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Uniform approximations for pitchfork bifurcation sequences

URN to cite this document:
urn:nbn:de:bvb:355-epub-16537
Kaidel, Jörg ; Brack, Matthias
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Date of publication of this fulltext: 05 Aug 2009 13:30



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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