Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System

Bifibrations, in symplectic geometry called also dual pairs, play a relevant role in the theory of superintegrable Hamiltonian systems. We prove the existence of an analogous bifibrated geometry in dynamical systems with a symmetry group such that the reduced dynamics is periodic. The integrability...

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Datum:2007
Hauptverfasser: Fassò, F., Giacobbe, A.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2007
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/147810
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Geometry of Invariant Tori of Certain Integrable Systems with Symmetry and an Application to a Nonholonomic System / F. Fassò, A. Giacobbe // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 20 назв. — англ.

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