Multiphase Averaging for Classical Systems

Released on by P. Lochak
preview-18

  • Multiphase Averaging for Classical Systems Book Detail

  • Author : P. Lochak
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 360
  • ISBN 13 : 1461210445
  • File Size : 87,87 MB
DOWNLOAD BOOK

Multiphase Averaging for Classical Systems by P. Lochak PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Multiphase Averaging for Classical Systems books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Multiphase Averaging for Classical Systems

Multiphase Averaging for Classical Systems

File Size : 94,94 MB
Total View : 5498 Views
DOWNLOAD

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 proport

Multiphase Averaging for Classical Systems

Multiphase Averaging for Classical Systems

File Size : 75,75 MB
Total View : 3331 Views
DOWNLOAD

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 proport

Hamiltonian Dynamical Systems

Hamiltonian Dynamical Systems

File Size : 52,52 MB
Total View : 8655 Views
DOWNLOAD

From its origins nearly two centuries ago, Hamiltonian dynamics has grown to embrace the physics of nearly all systems that evolve without dissipation, as well