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On the bi-Hamiltonian structure of Bogoyavlensky system on so(4)

On the bi-Hamiltonian structure of Bogoyavlensky system on so(4) We discuss bi-Hamiltonian structure for the Bogoyavlensky system on so(4) with an additional integral of fourth order in momenta. An explicit procedure to find the variables of separation and the separation relations is considered in detail. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Regular and Chaotic Dynamics Springer Journals

On the bi-Hamiltonian structure of Bogoyavlensky system on so(4)

Regular and Chaotic Dynamics , Volume 15 (6) – Dec 22, 2010

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References (26)

Publisher
Springer Journals
Copyright
Copyright © 2010 by Pleiades Publishing, Ltd.
Subject
Mathematics; Dynamical Systems and Ergodic Theory
ISSN
1560-3547
eISSN
1468-4845
DOI
10.1134/S1560354710060031
Publisher site
See Article on Publisher Site

Abstract

We discuss bi-Hamiltonian structure for the Bogoyavlensky system on so(4) with an additional integral of fourth order in momenta. An explicit procedure to find the variables of separation and the separation relations is considered in detail.

Journal

Regular and Chaotic DynamicsSpringer Journals

Published: Dec 22, 2010

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