Multiphase Averaging for Classical Systems

Name: Multiphase Averaging for Classical Systems
Brand: Springer-Verlag New York Inc.
SKU: 9780387967783
Price: 552.3 RON
Availability: InStock

With Applications to Adiabatic Theorems

Autor: Pierre Lochak, Claude Meunier

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Editura: Springer-Verlag New York Inc.

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

Informații despre carte

Autor

Pierre Lochak, Claude Meunier

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

1988

Pagini

360

EAN

9780387967783

ISBN

0387967788

Enbook ID

06793894

Editura

Springer-Verlag New York Inc.

Greutate

1160

Dimensiuni

155 x 235 x 21

Descriere completă

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

Informații despre carte

Descriere completă

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