Non-linear stochastic systems are at the center of many engineering disciplines and progress in theoretical research had led to a better understanding of non-linear phenomena. This book provides information on new fundamental results and their applications which are beginning to appear across the entire spectrum of mechanics. The outstanding points of these proceedings are Coherent compendium of the current state of modelling and analysis of non-linear stochastic systems from engineering, applied mathematics and physics point of view. Subject areas include: Multiscale phenomena, stability and bifurcations, control and estimation, computational methods and modelling. For the Engineering and Physics communities, this book will provide first-hand information on recent mathematical developments. The applied mathematics community will benefit from the modelling and information on various possible applications.
IUTAM Symposium on Nonlinear Stochastic Dynamics and Control
IUTAM BOOKSERIES VOLUME 29 Serious Editors
G.M.L. Gladwell, University of Waterloo, Waterloo, Ontario, Canada R. Moreau, INPG, Grenoble, France
Editorial Board J. Engelbrecht, Institute of Cybernetics, Tallinn, Estonia L.B. Freund, Brown University, Providence, USA A. Kluwick, Technische Universitt, Vienna, Austria H.K. Moffatt, University of Cambridge, Cambridge, UK N. Olhoff, Aalborg University, Aalborg, Denmark K. Tsutomu, IIDS, Tokyo, Japan D. van Campen, Technical University Eindhoven, Eindhoven, The Netherlands Z. Zheng, Chinese Academy of Sciences, Beijing, China
Aims and Scope of the Series The IUTAM Bookseries publishes the proceedings of IUTAM symposia under the auspices of the IUTAM Board.
For other titles published in this series, go to www.springer.com/series/7695
W.Q. Zhu, Y.K. Lin, and G.Q. Cai Editors
IUTAM Symposium on Nonlinear Stochastic Dynamics and Control Proceedings of the IUTAM Symposium held in Hangzhou, China, May 10–14, 2010
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Editors W.Q. Zhu Zhejiang University Zhe Da Road 38 310027 Hangzhou People’s Republic of China E-mail:
[email protected]
G.Q. Cai Florida Atlantic University College of Engineering and Computer Science 33431 Boca Raton Florida USA E-mail:
[email protected]
Y.K. Lin Florida Atlantic University College of Engineering and Computer Science 33431 Boca Raton Florida USA
ISSN 1875-3507 e-ISSN 1875-3493 ISBN 978-94-007-0731-3 e-ISBN 978-94-007-0732-0 DOI 10.1007/978-94-007-0732-0 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2011921007 c Springer Science+Business Media B.V. 2011 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Cover design: VTEX,Vilnius Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
The history of stochastic dynamics may be traced back over 100 years ago to Einstein’s paper on Brownian motion in 1905. Since then, its scope and depth have been broadened and enhanced by a wide variety of applications in science and engineering. From 1972 to 2002 ten symposia on stochastic dynamics were sponsored by International Union of Theoretical and Applied Mechanics (IUTAM). More recently, much progress on v