Dynamics with Chaos and Fractals
The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stab
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Marat Akhmet Mehmet Onur Fen Ejaily Milad Alejaily
Dynamics with Chaos and Fractals
Nonlinear Systems and Complexity Volume 29
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
Marat Akhmet • Mehmet Onur Fen Ejaily Milad Alejaily
Dynamics with Chaos and Fractals
Marat Akhmet Department of Mathematics Middle East Technical University Çankaya, Ankara, Turkey
Mehmet Onur Fen Department of Mathematics TED University Çankaya, Ankara, Turkey
Ejaily Milad Alejaily Department of Fundamental Sciences College of Engineering Technology Houn, Libya
ISSN 2195-9994 ISSN 2196-0003 (electronic) Nonlinear Systems and Complexity ISBN 978-3-030-35853-2 ISBN 978-3-030-35854-9 (eBook) https://doi.org/10.1007/978-3-030-35854-9 © 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
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