Arnol'd / Novikov Dynamical Systems VII

Integrable Systems Nonholonomic Dynamical Systems
Erscheinungsjahr 2013
ISBN: 978-3-662-06796-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 344 Seiten, Web PDF

Reihe: Encyclopaedia of Mathematical Sciences

This book is another volume in the successful subseries "Dynamical Systems" of the Encyclopaedia of Mathematical Sciences. It focuses on new developments in the field of integrable systems and it provides a unique and comprehensive survey on new differential geometric and Lie-algebraic methods. Since other literature on these topics is often rather unreadable, this volume will be an indispensable guide to the current research which no mathematician or theoretical physicist who is interested in this field can do without.

Zielgruppe

Research

Autoren/Hrsg.

Arnol'd, V.I.

Novikov, S. P.

Weitere Mitwirkende

Reyman, A.G.

Fomenko, A.T.

Semenov-Tian-Shansky, M. A.

Gershkovich, V.Ya.

Olshanetsky, M.A.

Perelomov, A.M.

Rejman, A.G.

Semenov-Tian-Shansky, M.A.

Trofimov, V.V.

Vershik, A.M.

Inhaltsverzeichnis

Contents: Nonholonomic Dynamical Systems, Geometry of Distributions and Variational Problems by A.M. Vershik, V.Ya. Gershkovich.- Integrable Systems and Infinite Dimensional Lie Algebras by M.A. Olshanetsky, M.A. Perelomov.- Group-Theoretical Methods in the Theory of Finite-Dimensional Integrable Systems by A.G. Reyman, M.A. Semenov-Tian-Shansky.- Quantization of Open Toda Lattices by M.A. Semenov-Tian-Shansky.- Geometric and Algebraic Mechanisms of the Integrability of Hamiltonian Systems on Homogeneous Spaces and Lie Algebras by V.V. Trofimov, A.T. Fomenko.