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This item may be Check for Availability Other titles in the Springer Monographs in Mathematics series:
A Memoir on Integrable Systems (Springer Monographs in Mathematics)
Synopses & ReviewsPublisher Comments: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 thetafunctions. 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.
Synopsis:This volume discusses rare integrable dynamical systems particularly wellsuited to integrable problems. Discussing results that have not yet been published, this volume is especially useful to specialists in analytical dynamics and professionals involved with applications in algebraic geometry.
Synopsis: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 thetafunctions. 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.
Table of ContentsClassical Mechanics and Lie Groups. Systems With an Invariant Measure. Integrable Systems, Lax Pairs and Confocal Quadrics. Explicit Solutions. References. Index.
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