Dynamical Systems Discontinuity, Stochasticity and Time-Delay

Dynamical Systems: Discontinuous, Stochasticity and Time-Delay provides an overview of the most recent developments in nonlinear dynamics, vibration and control. This book focuses on the most recent advances in all three areas, with particular emphasis on

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Albert C.J. Luo Editor

Dynamical Systems Discontinuity, Stochasticity and Time-Delay

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Editor Albert C.J. Luo Department of Mechanical and Industrial Engineering Southern Illinois University Edwardsville Edwardsville, IL 62026-1805 USA [email protected]

ISBN 978-1-4419-5753-5 e-ISBN 978-1-4419-5754-2 DOI 10.1007/978-1-4419-5754-2 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2010924743 c Springer Science+Business Media, LLC 2010  All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Preface

Dynamics, vibrations, and control of dynamical systems with discontinuity, stochasticity, and time delay are presented in this book. Dynamical systems with discontinuity, stochasticity, and time delay exist extensively in practical systems. This book provides the reader with a better understanding of control of dynamical behaviors of complex dynamical systems. Recent developments in dynamical systems with discontinuity, stochasticity, and time delay are discussed along with topics normally associated with discontinuous systems including but not limited to impact systems, friction-induced systems, and impulsive systems. Also presented are classic vibration and control of dynamical systems. This content presented is based on the Second Conference on Dynamics, Vibration and Control, held in Chengdu-Jiuzhaigou, Sichuan, China, 2009 (DVC2009). The goal of this conference is to provide a place to exchange recent developments, discoveries, and progresses on dynamics, vibration, and control. This second conference is the continuation of the 2007 Arctic Summer Conference on Dynamics, Vibrations and Control. Papers and presentations relative to all areas pertaining to theoretical, symbolic, computational, and experimental aspects of dynamics, vibrations, and control were solicited. There were 57 papers initially submitted for presentation and publications. After peer review, only 34 papers were selected for publication in this book; these contributions are divided into four groups:  Group 1 discusses nonlinear and discontinuous dynamical systems and includes

11 contributions that cover fractional dynamics, chaos and bifurcations in nonlinear dynamical systems, discontinuous dynamical systems, and applications in manufacturing and rotor