Dynamics of Synchronising Systems

R. F. Nagaev

ISBN 10: 3540441956 / ISBN 13: 9783540441953

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg, 2002

About this Item

Druck auf Anfrage Neuware - Printed after ordering - This book presents a rational scheme of analysis for the periodic and quasi-periodic solution of a broad class of problems within technical and celestial mechanics. It develops steps for the determination of sufficiently general averaged equations of motion, which have a clear physical interpretation and are valid for a broad class of weak-interaction problems in mechanics. The criteria of stability regarding stationary solutions of these equations are derived explicitly and correspond to the extremum of a special 'potential' function. Much consideration is given to applications in vibrational technology, electrical engineering and quantum mechanics, anda number of results are presentedthat are immediatelyuseful in engineering practice. The book is intended for mechanical engineers, physicists, as well as applied mathematicians specializing in the field of ordinary differential equations.

Seller Inventory # 9783540441953

Bibliographic Details

• Title: Dynamics of Synchronising Systems
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg
• Publication Date: 2002
• Language: English
• ISBN 10: 3540441956
• ISBN 13: 9783540441953
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 23D millimeters 241 millimeters width by 160 millimeters height by 23 millimeters depth
• Weight: 664 grams

About this title

Synopsis

This book presents a rational scheme of analysis for the periodic and quasi-periodic solution of a broad class of problems within technical and celestial mechanics. It develops steps for the determination of sufficiently general averaged equations of motion, which have a clear physical interpretation and are valid for a broad class of weak-interaction problems in mechanics. The criteria of stability regarding stationary solutions of these equations are derived explicitly and correspond to the extremum of a special "potential" function. Much consideration is given to applications in vibrational technology, electrical engineering and quantum mechanics, and a number of results are presented that are immediately useful in engineering practice. The book is intended for mechanical engineers, physicists, as well as applied mathematicians specializing in the field of ordinary differential equations.

Review

From the reviews:

"It is a book on nonlinear ordinary differential equations strongly focusing on physical and mechanical aspects. This orientation certainly introduces a new point of view on the subject. To my opinion of the reviewer, this is also the strongest argument to read and buy this book ... . Certainly, the book can be strongly recommended to all readers interested in the integration of nonlinear mechanical systems and, in particular, in synchronisation problems." (Hans Troger, Zentralblatt MATH, Vol. 1099 (1), 2007)