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Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors

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  • © 2018

Overview

Editors:
  1. Viet-Thanh Pham

    1. School of Electronics and Telecommunications, Hanoi University of Science and Technology, Hanoi, Vietnam

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  2. Sundarapandian Vaidyanathan

    1. Research and Development Centre, Vel Tech University, Chennai, India

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  3. Christos Volos

    1. Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, Greece

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  4. Tomasz Kapitaniak

    1. Division of Dynamics, Faculty of Mechanical Engineering, Lodz University of Technology, Łódź, Poland

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  • Presents recent research on nonlinear systems with self-excited and hidden attractors
  • Explores the relationship between self-excited and hidden attractors
  • Discusses their multidisciplinary applications, a context in which computational intelligence holds excellent potential
  • Suitable for courses related to dynamical systems and applications, control systems, nonlinear circuits, or oscillations in mechanical systems
  • Highlights theoretical studies and experimental results, as well as practical applications

Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 133)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Nonlinear Dynamical Systems with Self-Excited Attractors

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Bifurcation Analysis and Chaotic Behaviors of Fractional-Order Singular Biological Systems

      • Komeil Nosrati, Christos Volos
      Pages 3-44

    3. Chaos and Bifurcation in Controllable Jerk-Based Self-Excited Attractors

      • Wafaa S. Sayed, Ahmed G. Radwan, Hossam A. H. Fahmy
      Pages 45-70

    4. Self-Excited Attractors in Jerk Systems: Overview and Numerical Investigation of Chaos Production

      • Wafaa S. Sayed, Ahmed G. Radwan, Salwa K. Abd-El-Hafiz
      Pages 71-86

    5. Synchronization Properties in Coupled Dry Friction Oscillators

      • Michał Marszal, Andrzej Stefański
      Pages 87-113

    6. Backstepping Control for Combined Function Projective Synchronization Among Fractional Order Chaotic Systems with Uncertainties and External Disturbances

      • Vijay K. Yadav, Mayank Srivastava, Subir Das
      Pages 115-132

    7. Chaotic Business Cycles within a Kaldor-Kalecki Framework

      • Giuseppe Orlando
      Pages 133-161

    8. Analysis of Three-Dimensional Autonomous Van der Pol–Duffing Type Oscillator and Its Synchronization in Bistable Regime

      • Gaetan Fautso Kuiate, Victor Kamdoum Tamba, Sifeu Takougang Kingni
      Pages 163-180

    9. Dynamic Analysis, Electronic Circuit Realization of Mathieu-Duffing Oscillator and Its Synchronization with Unknown Parameters and External Disturbances

      • Victor Kamdoum Tamba, François Kapche Tagne, Elie Bertrand Megam Ngouonkadi, Hilaire Bertrand Fotsin
      Pages 181-202

    10. An Autonomous Helmholtz Like-Jerk Oscillator: Analysis, Electronic Circuit Realization and Synchronization Issues

      • Victor Kamdoum Tamba, Gaetan Fautso Kuiate, Sifeu Takougang Kingni, Pierre Kisito Talla
      Pages 203-227

    11. Synchronization in Kuramoto Oscillators Under Single External Oscillator

      • Gokul P. M., V. K. Chandrasekar, Tomasz Kapitaniak
      Pages 229-249

    12. Analysis, Circuit Design and Synchronization of a New Hyperchaotic System with Three Quadratic Nonlinearities

      • A. A. Oumate, S. Vaidyanathan, K. Zourmba, B. Gambo, A. Mohamadou
      Pages 251-270

    13. A New Chaotic Finance System: Its Analysis, Control, Synchronization and Circuit Design

      • Babatunde A. Idowu, Sundarapandian Vaidyanathan, Aceng Sambas, Olasunkanmi I. Olusola, O. S. Onma
      Pages 271-295

  3. Nonlinear Dynamical Systems with Hidden Attractors

    1. Front Matter

      Pages 297-297
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    2. Periodic Orbits, Invariant Tori and Chaotic Behavior in Certain Nonequilibrium Quadratic Three-Dimensional Differential Systems

      • Alisson C. Reinol, Marcelo Messias
      Pages 299-326

    3. Existence and Control of Hidden Oscillations in a Memristive Autonomous Duffing Oscillator

      • Vaibhav Varshney, S. Sabarathinam, K. Thamilmaran, M. D. Shrimali, Awadhesh Prasad
      Pages 327-344

    4. A Novel 4-D Hyperchaotic Rikitake Dynamo System with Hidden Attractor, its Properties, Synchronization and Circuit Design

      • Sundarapandian Vaidyanathan, Viet-Thanh Pham, Christos Volos, Aceng Sambas
      Pages 345-364

    5. A Six-Term Novel Chaotic System with Hidden Attractor and Its Circuit Design

      • Aceng Sambas, Sundarapandian Vaidyanathan, Mustafa Mamat, W. S. Mada Sanjaya
      Pages 365-373

    6. Synchronization Phenomena in Coupled Dynamical Systems with Hidden Attractors

      • C. K. Volos, Viet-Thanh Pham, Ahmad Taher Azar, I. N. Stouboulos, I. M. Kyprianidis
      Pages 375-401
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Keywords

About this book

This book highlights the latest findings on nonlinear dynamical systems including two types of attractors: self-excited and hidden attractors. Further, it presents both theoretical and practical approaches to investigating nonlinear dynamical systems with self-excited and hidden attractors. The book includes 20 chapters contributed by respected experts, which focus on various applications such as biological systems, memristor-based systems, fractional-order systems, finance systems, business cycles, oscillators, coupled systems, hyperchaotic systems, flexible robot manipulators, electronic circuits, and control models. Special attention is given to modeling, design, circuit realization, and practical applications to address recent research problems in nonlinear dynamical systems.

The book provides a valuable reference guide to nonlinear dynamical systems for engineers, researchers, and graduate students, especially those whose work involves mechanics, electrical engineering, and control systems.

Editors and Affiliations

  • School of Electronics and Telecommunications, Hanoi University of Science and Technology, Hanoi, Vietnam

    Viet-Thanh Pham

  • Research and Development Centre, Vel Tech University, Chennai, India

    Sundarapandian Vaidyanathan

  • Department of Physics, Aristotle University of Thessaloniki, Thessaloniki, Greece

    Christos Volos

  • Division of Dynamics, Faculty of Mechanical Engineering, Lodz University of Technology, Łódź, Poland

    Tomasz Kapitaniak

Bibliographic Information

  • Book Title: Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors

  • Editors: Viet-Thanh Pham, Sundarapandian Vaidyanathan, Christos Volos, Tomasz Kapitaniak

  • Series Title: Studies in Systems, Decision and Control

  • DOI: https://doi.org/10.1007/978-3-319-71243-7

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG 2018

  • Hardcover ISBN: 978-3-319-71242-0Published: 06 March 2018

  • Softcover ISBN: 978-3-030-10034-6Published: 26 January 2019

  • eBook ISBN: 978-3-319-71243-7Published: 26 February 2018

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: IX, 497

  • Number of Illustrations: 58 b/w illustrations, 224 illustrations in colour

  • Topics: Computational Intelligence, Complex Systems, Complexity

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