Książka Memoir on Integrable Systems Yu. N. Fedorov

Memoir on Integrable Systems

Język: Angielski
Oprawa: Twarda
Dostępność: Oczekiwana premiera
Termin nieznany
469.60
Integrable dynamical systems are usually associated with Hamiltonian ones. The present book consider...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2019
strony
280
EAN
9783540590002
ISBN
3540590005
Enbook ID
01565922
Wymiary
155 x 235

Pełny opis

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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