Blick ins Buch A Memoir on Integrable Systems - Yuri Fedorov, Valerij Vasilievich Kozlov

Yuri Fedorov, Valerij Vasilievich Kozlov

A Memoir on Integrable Systems

'Schriftenreihe Markt und Marketing'. 'Springer Monographs in Mathematics'. 40 Abbildungen. Sprache: Englisch.
gebunden , 280 Seiten
ISBN 3540590005
EAN 9783540590002
Veröffentlicht Januar 2023
Verlag/Hersteller Springer-Verlag GmbH
Übersetzer Übersetzt von Yu Fedorov
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Beschreibung

This book considers the larger class of systems which are not (at least a priori) Hamiltonian but possess tensor invariants, in particular, an invariant measure. Several integrability theorems related to the existence of tensor invariants are formulated, and the authors illustrate the geometrical background of some classical and new hierarchies of integrable systems and give their explicit solution in terms of theta-functions. Most of the results discussed have not been published before, making this book immensely useful both to specialists in analytical dynamics who are interested in integrable problems and those in algebraic geometry who are looking for applications.

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