Memoir on Integrable Systems

Name: Memoir on Integrable Systems
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540590002
Price: 109.62 EUR
Availability: PreOrder

Autor: Yu. N. Fedorov, V. V. Kozlov

Jazyk:

Väzba: Pevná

Vydavateľ: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostupnosť: Očakávaná novinka

Termín neznámy

109.62 €

Integrable dynamical systems are usually associated with Hamiltonian ones. The present book consider...

Informácie o knihe

Autor

Yu. N. Fedorov, V. V. Kozlov

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2019

Stránok

280

EAN

9783540590002

ISBN

3540590005

Enbook ID

01565922

Vydavateľ

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Rozmery

155 x 235

Kompletný popis

Integrable dynamical systems are usually associated with Hamiltonian ones. The present book considers the bigger class of systems which are not (at least a priori) Hamiltonian but possess tensor invariants, in particular, an invariant measure. Such systems are as rare as Hamiltonian ones that have additional first integrals and therefore must be considered as number one candidates for integrable problems. Several integrability theorems related to the existence of tensor invariants are formulated. The authors display 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 in this book have not been published before, so that this book will be 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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