A Memoir on Integrable Systems - Yuri Fedorov, Valerij Vasilievich Kozlov

A Memoir on Integrable Systems

Buch | Hardcover
2023 | 1st ed. 2023
Springer Berlin (Verlag)
978-3-540-59000-2 (ISBN)
90,90 inkl. MwSt
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.

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

Erscheint lt. Verlag 11.1.2023
Reihe/Serie Springer Monographs in Mathematics
Übersetzer Yu. Fedorov
Zusatzinfo Approx. 280 p. 40 illus.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte Abelian varieties • Dynamisches System • Dynamische Systeme • Hamiltonsches System • Integrable Systems • Integralrechnung • Lax pairs • tensor invariants • theta-functions
ISBN-10 3-540-59000-5 / 3540590005
ISBN-13 978-3-540-59000-2 / 9783540590002
Zustand Neuware
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