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Normal forms and uniform approximations for bridge orbit bifurcations

Arita, K and Brack, Matthias (2008) Normal forms and uniform approximations for bridge orbit bifurcations. Journal of Physics A 41, p. 385207.

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Other URL: http://arxiv.org/abs/0805.3755


Abstract

We discuss various bifurcation problems in which two isolated periodic orbits exchange periodic ``bridge'' orbit(s) between two successive bifurcations. We propose normal forms which locally describe the corresponding fixed point scenarios on the Poincar\'e surface of section. Uniform approximations for the density of states for a two-dimensional integrable system are derived and successfully ...

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Item Type:Article
Date:2008
Institutions:Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Matthias Brack
Projects:Graduiertenkolleg Nichtlinearität und Nichtgleichgewicht
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:25 May 2009 13:18
Last Modified:05 Aug 2009 13:57
Item ID:7822
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