Multiphase Averaging for Classical Systems (eBook, PDF)

Multiphase Averaging for Classical Systems (eBook, PDF)

With Applications to Adiabatic Theorems

Übersetzer: Dumas, H. S.
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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 ...

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