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Analytic approach to bifurcation cascades in a class of generalized Hénon-Heiles potentials

Fedotkin, S and Magner, A and Brack, Matthias (2008) Analytic approach to bifurcation cascades in a class of generalized Hénon-Heiles potentials. Physical Review E 77, 066219 1-16.

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Other URL: http://arxiv.org/abs/0804.0118


Abstract

We investigate the bifurcation cascades of a linear librational orbit in a generalized class of H\'enon-Heiles potentials. The stability traces of the new orbits born at its bifurcations are found numerically to intersect linearly at the saddle energy (e=1), forming what we term the ``H\'enon-Heiles fans''. In the limit close to the saddle energy (e-->1), where the dynamics is nearly ...

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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:7819
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