A Memoir on Integrable Systems

1. Auflage 2023
ISBN: 978-3-540-59000-2
Verlag: Springer-Verlag GmbH

Buch, Englisch, 280 Seiten, Format (B × H): 193 mm x 270 mm

Reihe: Schriftenreihe Markt und Marketing

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.

Zielgruppe

Research

Autoren/Hrsg.

Fedorov, Yuri

Kozlov, Valerij Vasilievich

Weitere Mitwirkende

Fedorov, Yu.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme

Inhaltsverzeichnis

Classical Mechanics and Lie Groups.- Systems With an Invariant Measure.- Integrable Systems, Lax Pairs and Confocal Quadrics.- Explicit Solutions.- References.- Index.