Time-Delayed Chaotic Dynamical Systems: From Theory to Electronic Experiment

Description

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. Front Matter ....Pages i-xi Introduction (Debabrata Biswas, Tanmoy Banerjee)....Pages 1-9 First-Order Time-Delayed Chaotic Systems: Design and Experiment (Debabrata Biswas, Tanmoy Banerjee)....Pages 11-39 Chaotic Time-Delayed System with Hard Nonlinearity: Design and Characterization (Debabrata Biswas, Tanmoy Banerjee)....Pages 41-56 Collective Behavior-I: Synchronization in Hyperchaotic Time-Delayed Oscillators Coupled Through a Common Environment (Debabrata Biswas, Tanmoy Banerjee)....Pages 57-78 Collective Behavior-II: Amplitude Death and the Corresponding Transitions in Coupled Chaotic Time-Delayed Systems (Debabrata Biswas, Tanmoy Banerjee)....Pages 79-97 Epilogue: Future Directions (Debabrata Biswas, Tanmoy Banerjee)....Pages 99-100 Back Matter ....Pages 101-114