Bifurcation and Stability in Nonlinear Dynamical Systems
This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems. Until now, one does not have any efficient way to investigate stability and bifurcation of dynamical
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Albert C. J. Luo
Bifurcation and Stability in Nonlinear Dynamical Systems
Nonlinear Systems and Complexity Volume 28
Series editor Albert C. J. Luo Southern Illinois University Edwardsville, IL, USA
Nonlinear Systems and Complexity provides a place to systematically summarize recent developments, applications, and overall advance in all aspects of nonlinearity, chaos, and complexity as part of the established research literature, beyond the novel and recent findings published in primary journals. The aims of the book series are to publish theories and techniques in nonlinear systems and complexity; stimulate more research interest on nonlinearity, synchronization, and complexity in nonlinear science; and fast-scatter the new knowledge to scientists, engineers, and students in the corresponding fields. Books in this series will focus on the recent developments, findings and progress on theories, principles, methodology, computational techniques in nonlinear systems and mathematics with engineering applications. The Series establishes highly relevant monographs on wide ranging topics covering fundamental advances and new applications in the field. Topical areas include, but are not limited to: Nonlinear dynamics; Complexity, nonlinearity, and chaos; Computational methods for nonlinear systems; Stability, bifurcation, chaos and fractals in engineering; Nonlinear chemical and biological phenomena; Fractional dynamics and applications; Discontinuity, synchronization and control.
More information about this series at http://www.springer.com/series/11433
Albert C. J. Luo
Bifurcation and Stability in Nonlinear Dynamical Systems
Albert C. J. Luo Southern Illinois University Edwardsville, IL, USA
ISSN 2195-9994 ISSN 2196-0003 (electronic) Nonlinear Systems and Complexity ISBN 978-3-030-22909-2 ISBN 978-3-030-22910-8 (eBook) https://doi.org/10.1007/978-3-030-22910-8 © Springer Nature Switzerland AG 2019 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, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutra
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