Multifrequency Oscillations of Nonlinear Systems: 567 (Mathematics and Its Applications) - Tapa blanda

Samoilenko, Anatolii M. M.; Petryshyn, R.

 
9789048165742: Multifrequency Oscillations of Nonlinear Systems: 567 (Mathematics and Its Applications)
Tapa blanda
ISBN 10: 9048165741 ISBN 13: 9789048165742
Editorial: Springer, 2010

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Críticas

From the reviews:

"The present research monograph deals with the averaging method for multifrequency nonlinear systems of ordinary differential equations. It gives a careful and detailed exposition to recent achievements by the authors and their coworkers based on exact uniform estimates of oscillatory integrals. As a result, many new results on the justification of the averaging method and its applications are obtained ... ." (G. Teschl, Monashefte für Mathematik, Vol. 146 (2), 2005)

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
9048165741
ISBN 13 
9789048165742
Encuadernación
Tapa blanda
Número de páginas
324
Contacto del fabricante
no disponible
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Otras ediciones populares con el mismo título

9781402020308: Multifrequency Oscillations of Nonlinear Systems: 567 (Mathematics and Its Applications)

Edición Destacada

ISBN 10:  1402020309 ISBN 13:  9781402020308
Editorial: Springer, 2004
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