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Dynamics of Synchronising Systems

  • R. F. Nagaev

Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Table of contents

About this book

Introduction

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.

Keywords

Conservative Dynamical Systems Hamiltonion Self-synchronisation Vibration differential equation dynamische Systeme electrical engineering mechanics quantum mechanics stability

Authors and affiliations

  • R. F. Nagaev
    • 1
  1. 1.St. PetersburgRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-45761-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-53655-7
  • Online ISBN 978-3-540-45761-9
  • Series Print ISSN 1612-1384
  • Series Online ISSN 1860-6237
  • Buy this book on publisher's site