Robust Synchronization of Chaotic Systems via Feedback
This pages include the results derived during last ten years about both suppression and synchronization of chaotic -continuous time- systems. Along this time, our concept was to study how the intrinsic properties of dynamical systems can be exploited to s
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Ricardo Femat, Gualberto Solis-Perales
Robust Synchronization of Chaotic Systems via Feedback
ABC
Series Advisory Board F. Allgöwer, P. Fleming, P. Kokotovic, A.B. Kurzhanski, H. Kwakernaak, A. Rantzer, J.N. Tsitsiklis
Authors Ricardo Femat IPICYT Departamento de Matemáticas Aplicadas Camino a la Presa San José 2055 Col. Lomas 4a. sección C.P. 78216 San Luis Potosí México E-Mail: [email protected]
Gualberto Solis-Perales Universidad de Guadalajara Centro Universitario de Ciencias Exactas e Ingenierías División de Electrónica y Computación Blvd. Marcelino García Barragán 1421 Jal. C.P. 44430 Guadalajara México E-Mail: [email protected]
ISBN 978-3-540-69306-2
e-ISBN 978-3-540-69307-9
DOI 10.1007/978-3-540-69307-9 Lecture Notes in Control and Information Sciences
ISSN 0170-8643
Library of Congress Control Number: 2008928642 c 2008
Springer-Verlag Berlin Heidelberg
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Typeset & Cover Design: Scientific Publishing Services Pvt. Ltd., Chennai, India. Printed in acid-free paper 543210 springer.com
To you, beauty that has shared your time and all my small conquests along recent years. Ricardo Femat
To Saidy, Regina, Estela and Antonio. Gualberto Solís-Perales
Preface
This pages include the results derived during last ten years about both suppression and synchronization of chaotic -continuous time- systems. Along this time, our concept was to study how the intrinsic properties of dynamical systems can be exploited to suppress and to synchronize the chaotic behavior and what synchronization phenomena can be found under feedback interconnection. Our findings have caused surprise to us and have stimulated our astonishing capability. Perhaps, reader can imagine our faces with opens eyes like children seeing around objects; which are possibly obvious for others and novel for us. A compilation of our surprises about these findings is being described along this book. Book contains both objectives to share our amazement and to show our perspective on synchronization of chaotic systems. Thus, while we were writing the preface, we discussed its scope. Thinking as a book readers, we found that a preface should answer, in few words, the following question: What can
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