Multiphase Averaging for Classical Systems: With Applications To Adiabatic Theorems (Applied Mathematical Sciences, 72, Band 72) - Softcover

Lochak, P.

 
9780387967783: Multiphase Averaging for Classical Systems: With Applications To Adiabatic Theorems (Applied Mathematical Sciences, 72, Band 72)
Softcover
ISBN 10: 0387967788 ISBN 13: 9780387967783
Verlag: Springer, 2013

Inhaltsangabe

In the past several decades many significant results in averaging for systems of ODE's have been obtained. These results have not attracted a tention in proportion to their importance, partly because they have been overshadowed by KAM theory, and partly because they remain widely scattered - and often untranslated - throughout the Russian literature. The present book seeks to remedy that situation by providing a summary, including proofs, of averaging and related techniques for single and multiphase systems of ODE's. The first part of the book surveys most of what is known in the general case and examines the role of ergodicity in averaging. Stronger stability results are then obtained for the special case of Hamiltonian systems, and the relation of these results to KAM Theory is discussed. Finally, in view of their close relation to averaging methods, both classical and quantum adiabatic theorems are considered at some length. With the inclusion of nine concise appendices, the book is very nearly self-contained, and should serve the needs of both physicists desiring an accessible summary of known results, and of mathematicians seeing an introduction to current areas of research in averaging.

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Von der hinteren Coverseite

This book presents work to clarify and render accessible the main results in averaging for ODE's since the appearance of Bogoliubov and Mitropolski's book, and to give at the same time a survey of the adiabatic theorems which more or less readily follow from those results.

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Verlag
Springer
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
0387967788
ISBN 13 
9780387967783
Einband
Taschenbuch
Anzahl der Seiten
376
Kontakt zum Hersteller
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Weitere beliebte Ausgaben desselben Titels

9783540967781: Multiphase Averaging for Classical Systems: With Applications to Adiabatic Theorems (Applied Mathematical Sciences)

Vorgestellte Ausgabe

ISBN 10:  3540967788 ISBN 13:  9783540967781
Verlag: Springer Berlin, 1988
Softcover