Fractional Maps as Maps with Power-Law Memory
The study of systems with memory requires methods which are different from the methods used in regular dynamics. Systems with power-law memory in many cases can be described by fractional differential equations, which are integro-differential equations. T
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Valentin Afraimovich Albert C.J. Luo Xilin Fu Editors
Nonlinear Dynamics and Complexity
Nonlinear Systems and Complexity Series Editor Albert C. J. Luo School of Engineering Mechanical and Industrial Engineering Southern Illinois University Edwardsville, IL, USA
For further volumes: http://www.springer.com/series/11433
Valentin Afraimovich • Albert C. J. Luo Xilin Fu Editors
Nonlinear Dynamics and Complexity
123
Editors Valentin Afraimovich San Luis Potosi University San Luis Potosi, Mexico Xilin Fu Shandong Normal University Jínan, China, People’s Republic
Albert C. J. Luo School of Engineering Mechanical and Industrial Engineering Southern Illinois University Edwardsville Edwardsville, Illinois, USA
ISSN 2195-9994 ISSN 2196-0003 (electronic) ISBN 978-3-319-02352-6 ISBN 978-3-319-02353-3 (eBook) DOI 10.1007/978-3-319-02353-3 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2013955553 © Springer International Publishing Switzerland 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
The chapters in this edited book are selected from the invited lectures in Conference on Nonlinear Dynamics and Complexity, held at Jinan, Shandong, China, on July 23–29, 2012. The aims of this edited book are to collect recen
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