|
|
Showing 1 - 1 of
1 matches in All Departments
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.
|
You may like...
Higher
Michael Buble
CD
(1)
R342
Discovery Miles 3 420
Loot
Nadine Gordimer
Paperback
(2)
R367
R340
Discovery Miles 3 400
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.