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Technical Multifrequency Oscillations of Nonlinear Systems (Mathematics and Its Applications)

Posted on 2010-08-07




Name:Technical Multifrequency Oscillations of Nonlinear Systems (Mathematics and Its Applications)
ASIN/ISBN:1402020309
File size:2.5 Mb
Publish Date: July 28, 2004
ISBN: 1402020309
Pages: 317 pages
File Type: PDF
File Size: 2.5 mb
Other Info: Springer
   Technical Multifrequency Oscillations of Nonlinear Systems (Mathematics and Its Applications)

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Multifrequency Oscillations of Nonlinear Systems (Mathematics and Its Applications)

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. This book opens new possibilities of the application of the averaging method to the solution of problems in mechanics, radio engineering, and control.

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