In contrast to other books devoted to the averaging method and
the method of integral manifolds, in the present book we study
oscillation systems with many varying frequencies. In the process
of evolution, systems of this type can pass from one resonance
state into another. This fact considerably complicates the
investigation of nonlinear oscillations.
In the present monograph, a new approach based on exact uniform
estimates of oscillation integrals is proposed. On the basis of
this approach, numerous completely new results on the justification
of the averaging method and its applications are obtained and the
integral manifolds of resonance oscillation systems are
studied.
This book is intended for a wide circle of research workers,
experts, and engineers interested in oscillation processes, as well
as for students and post-graduate students specialized in ordinary
differential equations.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Mathematics and Its Applications, 567 |
Release date: |
July 2004 |
First published: |
2004 |
Authors: |
Anatolii M. Samoilenko
• R Petryshyn
|
Dimensions: |
235 x 155 x 19mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
317 |
Edition: |
2004 ed. |
ISBN-13: |
978-1-4020-2030-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
1-4020-2030-9 |
Barcode: |
9781402020308 |
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