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Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors

  • Viet-Thanh Pham
  • Sundarapandian Vaidyanathan
  • Christos Volos
  • Tomasz Kapitaniak

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

Table of contents

  1. Front Matter
    Pages i-ix
  2. Nonlinear Dynamical Systems with Self-Excited Attractors

    1. Front Matter
      Pages 1-1
    2. Wafaa S. Sayed, Ahmed G. Radwan, Hossam A. H. Fahmy
      Pages 45-70
    3. Wafaa S. Sayed, Ahmed G. Radwan, Salwa K. Abd-El-Hafiz
      Pages 71-86
    4. Michał Marszal, Andrzej Stefański
      Pages 87-113
    5. Gaetan Fautso Kuiate, Victor Kamdoum Tamba, Sifeu Takougang Kingni
      Pages 163-180
    6. Victor Kamdoum Tamba, François Kapche Tagne, Elie Bertrand Megam Ngouonkadi, Hilaire Bertrand Fotsin
      Pages 181-202
    7. Victor Kamdoum Tamba, Gaetan Fautso Kuiate, Sifeu Takougang Kingni, Pierre Kisito Talla
      Pages 203-227
    8. Gokul P. M., V. K. Chandrasekar, Tomasz Kapitaniak
      Pages 229-249
    9. A. A. Oumate, S. Vaidyanathan, K. Zourmba, B. Gambo, A. Mohamadou
      Pages 251-270
    10. 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
    2. Vaibhav Varshney, S. Sabarathinam, K. Thamilmaran, M. D. Shrimali, Awadhesh Prasad
      Pages 327-344
    3. Sundarapandian Vaidyanathan, Viet-Thanh Pham, Christos Volos, Aceng Sambas
      Pages 345-364
    4. Aceng Sambas, Sundarapandian Vaidyanathan, Mustafa Mamat, W. S. Mada Sanjaya
      Pages 365-373
    5. C. K. Volos, Viet-Thanh Pham, Ahmad Taher Azar, I. N. Stouboulos, I. M. Kyprianidis
      Pages 375-401
    6. Dimitrios A. Prousalis, Christos K. Volos, Viet-Thanh Pham, Ioannis N. Stouboulos, Ioannis M. Kyprianidis
      Pages 403-432
    7. Kshetrimayum Lochan, Jay Prakash Singh, Binoy Krishna Roy, Bidyadhar Subudhi
      Pages 433-463

About this book

Introduction

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.

Keywords

Hidden Attractor Self-excited Attractors Bifurcation Lyapunov Exponent Electronic Circuit Control Synchronization Memristor Chaos

Editors and affiliations

  • Viet-Thanh Pham
    • 1
  • Sundarapandian Vaidyanathan
    • 2
  • Christos Volos
    • 3
  • Tomasz Kapitaniak
    • 4
  1. 1.School of Electronics and TelecommunicationsHanoi University of Science and TechnologyHanoiVietnam
  2. 2.Research and Development CentreVel Tech UniversityChennaiIndia
  3. 3.Department of PhysicsAristotle University of ThessalonikiThessalonikiGreece
  4. 4.Division of Dynamics, Faculty of Mechanical EngineeringLodz University of TechnologyŁódźPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-71243-7
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-71242-0
  • Online ISBN 978-3-319-71243-7
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site