Uniform approximation for period-quadrupling bifurcations.

Sieber, Martin and Schomerus, Henning (1998) Uniform approximation for period-quadrupling bifurcations. Journal of Physics A: Mathematical and General, 31. p. 165. ISSN 1361-6447

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Abstract. We derive a uniform approximation for semiclassical contributions of periodic orbits to the spectral density which is valid for generic period-quadrupling bifurcations in systems with a mixed phase space. These bifurcations involve three periodic orbits which coalesce at the bifurcation. In the vicinity of the bifurcation the three orbits give a collective contribution to the spectral density while the individual contributions of Gutzwiller's type would diverge at the bifurcation. The uniform approximation is obtained by mapping the action function onto the normal form corresponding to the bifurcation. This article is a continuation of previous work in which uniform approximations for generic period-m-tupling bifurcations with m=/4 were derived.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Physics A: Mathematical and General
Uncontrolled Keywords:
?? physics and astronomy(all)mathematical physicsstatistical and nonlinear physics ??
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Deposited On:
31 Oct 2007
Last Modified:
05 May 2024 23:28