Multiphase Averaging for Classical Systems

Name: Multiphase Averaging for Classical Systems
Brand: Springer-Verlag New York Inc.
SKU: 9780387967783
Price: 100.0 EUR
Availability: InStock

With Applications to Adiabatic Theorems

Autor: Pierre Lochak, Claude Meunier

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer-Verlag New York Inc.

Dostupnosť: Skladom u dodávateľa

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In the past several decades many significant results in averaging for systems of ODE's have been obt...

Informácie o knihe

Autor

Pierre Lochak, Claude Meunier

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

1988

Stránok

360

EAN

9780387967783

ISBN

0387967788

Enbook ID

06793894

Vydavateľ

Springer-Verlag New York Inc.

Hmotnosť

1160

Rozmery

155 x 235 x 21

Kompletný popis

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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Multiphase Averaging for Classical Systems

With Applications to Adiabatic Theorems

Informácie o knihe

Kompletný popis

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