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Memoir On Integrable Systems

Memoir On Integrable Systems - Kozlov, Valerij Vasilievich; Fedorov, Yuri - ISBN: 9783540590002
Prijs: € 97,40 (onder voorbehoud)
Beschikbaarheid: Nog niet verschenen.
Bindwijze: Boek, Gebonden
Genre: Exacte wetenschappen/natuurwetenschappen
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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.


Titel: Memoir On Integrable Systems
auteur: Kozlov, Valerij Vasilievich; Fedorov, Yuri
Mediatype: Boek
Bindwijze: Gebonden
Taal: Engels
Aantal pagina's: 280
Uitgever: Springer-verlag Berlin And Heidelberg Gmbh & Co. Kg
Plaats van publicatie: DE
NUR: Exacte wetenschappen/natuurwetenschappen
Collectie: Springer Monographs in Mathematics
Afmetingen: 235 x 155
ISBN/ISBN13: 3540590005
ISBN/ISBN13: 9783540590002
Intern nummer: 3654200

Extra informatie

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.


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