Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications
This book details the simulation and optimization of integer and fractional-order chaotic systems, and how they can be implemented in the analog and digital domains using FPAAs and FPGAs. Design guidelines are provided to use commercially available electr
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Digital Implementation of Fractional Order Chaotic Circuits and Applications
Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications
Esteban Tlelo-Cuautle • Ana Dalia Pano-Azucena Omar Guillén-Fernández • Alejandro Silva-Juárez
Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications
Esteban Tlelo-Cuautle INAOE Tonantzintla Puebla, Mexico
Ana Dalia Pano-Azucena INAOE Tonantzintla Puebla, Mexico
Omar Guillén-Fernández INAOE Tonantzintla Puebla, Mexico
Alejandro Silva-Juárez INAOE Tonantzintla Puebla, Mexico
ISBN 978-3-030-31249-7 ISBN 978-3-030-31250-3 (eBook) https://doi.org/10.1007/978-3-030-31250-3 © Springer Nature Switzerland AG 2020 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. 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. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Esteban Tlelo-Cuautle, Ana Dalia Pano-Azucena, Omar Guillén-Fernández, and Alejandro Silva-Juárez want to thank to their families for the support provided during the time spent writing this book.
Preface
Nowadays, noninteger or fractional-order chaotic systems are very interesting topics to engineers, physicists, and mathematicians because most real physical systems are inherently nonlinear in nature. It is worth mentioning that several books have recently been published detailing implementations of integer-order chaotic and hyperchaotic circuits and systems using analog integrated circuits technology, discrete devices, field-programmable analog arrays (FPAAs), and digital hardware like micro-controllers, field-programmable gate arrays (FPGAs), and multi-core systems. However, this is not the case for fractional-order chaotic systems, which mathematical models consist of fractional derivatives in nonlinear equations that are difficult to be s
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