Dynamical Systems and Methods

Nonlinear Systems and Methods For Mechanical, Electrical and Biosystems presents topics observed at the 3rd Conference on Nonlinear Science and Complexity(NSC), focusing on energy transfer and synchronization in hybrid nonlinear systems. The studies focus

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Albert C.J. Luo • Jos´e Ant´onio Tenreiro Machado Dumitru Baleanu Editors

Dynamical Systems and Methods

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

Jos´e Ant´onio Tenreiro Machado Department of Electrical Engineering Institute of Engineering Polytechnic Institute of Porto Rua Dr Ant´onio Bernadino Almeida 431 4200-072 Porto Portugal [email protected]

Dumitru Baleanu Mathematics and Computer Sciences Faculty of Art and Sciences Cankaya University Ankara Turkey [email protected]

ISBN 978-1-4614-0453-8 e-ISBN 978-1-4614-0454-5 DOI 10.1007/978-1-4614-0454-5 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011937445 © Springer Science+Business Media, LLC 2012 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

Nonlinear systems and methods for mechanical, electrical and other physical systems are present in this book along with nonlinear dynamics and mathematical methods Also covered are the nonlinear phenomena in physical systems. The aims of this edited book are to show significant achievements in nonlinear science and complexity, including nonlinear dynamics, chaos, discontinuous systems, fractional dynamics, economical, social and biological systems, and so on. Topics observed in this book are based on the those reported at the third Conference on nonlinear science and complexity (NSC), held in Ankara, Turkey from July 27–31, 2010. Due to the impact of topics on a very wide spectrum of problems in science and engineering, this conference provided a place to exchange recent developments, discoveries and progresses on nonlinear science and complexity. This conference is the continuation of the first 2006 Conference on Nonlinear Science and Complexity, held in Beijing, and the second 2008 conference on Nonlinear Science and Complexity held in Porto, Portugal. The aims of the selected papers are to present the fundamental and frontier theories and techniques for modern science and technology, and to stimulate more research interest for exploration of nonlinear science and complexity. The studies focus on fundamental theories and principles, analytical and symbolic approaches, computa