Time-Delayed Chaotic Dynamical Systems

From Theory to Electronic Experiment

  • Tanmoy Banerjee
  • Debabrata Biswas

Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Also part of the SpringerBriefs in Nonlinear Circuits book sub series (BRIEFSNONLINCIRC)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Debabrata Biswas, Tanmoy Banerjee
    Pages 1-9
  3. Debabrata Biswas, Tanmoy Banerjee
    Pages 11-39
  4. Debabrata Biswas, Tanmoy Banerjee
    Pages 99-100
  5. Back Matter
    Pages 101-114

About this book


This book describes systematic design techniques for chaotic and hyperchaotic systems, the transition from one to the other, and their implementation in electronic circuits. It also discusses the collective phenomena manifested by these systems when connected by a physical coupling scheme. Readers will be introduced to collective behaviours, such as synchronization and oscillation suppression, and will learn how to implement nonlinear differential equations in electronic circuits.

Further, the book shows how the choice of nonlinearity can lead to chaos and hyperchaos, even in a first-order time-delayed system. The occurrence of these phenomena, together with the efficiency of the design techniques described, is presented with theoretical studies, numerical characterization and experimental demonstrations with the corresponding electronic circuits, helping readers grasp the design aspects of dynamical systems as a whole in electronic circuits. The authors then discuss the usefulness of an active all-pass filter as the delay element, supported by their own experimental observations, as well as theoretical and numerical results.

Including detailed analysis, as well as computations with suitable dedicated software packages, the book will be of interest to all academics and researchers who wish to expand their knowledge of the subtlety of nonlinear time-delayed systems. It also offers a valuable source of information for engineers, linking the design techniques of chaotic time-delayed systems with their collective phenomena.


Nonlinear Time-delayed system Time-Delayed Electronic Circuits Collective Phenomenon Coupled Oscillator Oscillation Suppression Experimental Observation Hyperchaotic Systems Chaotic Systems

Authors and affiliations

  • Tanmoy Banerjee
    • 1
  • Debabrata Biswas
    • 2
  1. 1.Department of PhysicsThe University of BurdwanBurdwanIndia
  2. 2.Department of PhysicsThe University of BurdwanBurdwanIndia

Bibliographic information

  • DOI
  • Copyright Information The Author(s) 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-70992-5
  • Online ISBN 978-3-319-70993-2
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • Buy this book on publisher's site