Symmetries, topology, and resonances in Hamiltonian mechanics / Valerij V. Kozlov
Type de document : Livre numériqueCollection : Ergebnisse der mathematik und ihrer grenzgebiete, 31Langue : anglais.Éditeur : Berlin : Springer, cop. 1996ISBN: 9783642783951.ISSN: 0071-1136.Sujet MSC : 37K10, Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies37J35, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37Jxx, Dynamical systems and ergodic theory - Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
70Hxx, Mechanics of particles and systems - Hamiltonian and Lagrangian mechanicsEn-ligne : Springerlink | MSN | Zentralblatt
This book summarizes the results on integrability of Hamiltonian systems in the two last decades, with special emphasis on those obtained by the author and his collaborators. All the scientific production of the author is written in Russian and only a few of their papers, mainly the recent ones, are translated into English. So, this publication makes the fundamental work of the author accessible to the non Russian audience.
The book is addressed to researchers and graduate students either in physics or mathematics. It has a good supply of interesting examples developed with full detail. Also, several open questions and non developed fields of research (of possible interest) are indicated through the text. ... (zbMath)
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