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

Samoilenko, Anatolii M.; Petryshyn, R.

 
9781402020308: Multifrequency Oscillations of Nonlinear Systems: 567 (Mathematics and Its Applications)
Hardcover
ISBN 10: 1402020309 ISBN 13: 9781402020308
Verlag: Springer, 2004

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2004
Sprache
Englisch
ISBN 10 
1402020309
ISBN 13 
9781402020308
Einband
Tapa dura
Anzahl der Seiten
324
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Weitere beliebte Ausgaben desselben Titels

9789048165742: Multifrequency Oscillations of Nonlinear Systems: 567 (Mathematics and Its Applications)

Vorgestellte Ausgabe

ISBN 10:  9048165741 ISBN 13:  9789048165742
Verlag: Springer, 2010
Softcover