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Physics NotePublished

Bifurcations in the Periodic Orbit Sum: Multiple Windings

A. M. Ozorio de Almeida; Wei-Mou Zheng

1998

Publication details

Authors
A. M. Ozorio de Almeida; Wei-Mou Zheng
Type
Physics Note
Status
Published
Publication date
1998
Description
Periodic orbits that participate in a bifurcation contribute collectively to the periodic orbit sum for the quantum density of states. The contributions of multiple windings of isolated orbits are easily obtained from powers of the stability matrix, but it is generally hard to compose the actions that determine the contributions of higher windings of a bifurcation. We here derive an approximate relation between the amplitude of the contributions of different windings for the saddle-centre bifurcation and the period doubling bifurcation.
Year
1998
Number
CBPF-NF-020/98
Linked to a thesis
No
Linked to a grant
No
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