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Autor: Tanmoy Banerjee
ISBN-13: 9783319709925
Einband: Book
Seiten: 114
Gewicht: 239 g
Format: 238x156x12 mm
Sprache: Englisch

Time-Delayed Chaotic Dynamical Systems

SpringerBriefs in Applied Sciences and Technology
From Theory to Electronic Experiment
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Dr. Debabrata Biswas obtained his PhD from the Department of Physics, University of Burdwan in 2017 and currently serves as an Assistant Professor at Rampurhat College, India. His research interests include nonlinear time-delayed systems, their design and coupled behaviors, theory and experiments on birhythmic oscillators and their control. He has published more than 10 research articles in various reputed journals, such as Physical Review E, Chaos and Nonlinear Dynamics, and has presented his research at several international and national seminars and workshops. He has been selected to participate in the workshop "Multistability and Tipping: From Mathematics and Physics to Climate and Brain" at the Max Planck Institute for the Physics and Complex Systems, Dresden. Dr. Biswas received research funding from the Council of Scientific & Industrial Research (CSIR) (India) as a Senior Research Fellow.
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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.
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Discusses the usefulness of an active all-pass filter as the delay element
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I: Introduction.- II: First-Order Time-Delayed Chaotic and Hyperchaotic Systems: Design and Experiment.- III: Design and Characterization of Time-Delayed System with Bimodal Hard Saturation Type of Nonlinearity.- IV: Amplitude Death and Transitions Among Synchronized States in Mean-Field Coupled Time-Delayed System.- V: Synchronization in Hyperchaotic Time-Delay Electronic Oscillators Coupled Indirectly via a Common Environment.- A: Appendix.
Autor: Tanmoy Banerjee, Debabrata Biswas
Dr. Debabrata Biswas obtained his PhD from the Department of Physics, University of Burdwan in 2017 and currently serves as an Assistant Professor at Rampurhat College, India. His research interests include nonlinear time-delayed systems, their design and coupled behaviors, theory and experiments on birhythmic oscillators and their control. He has published more than 10 research articles in various reputed journals, such as Physical Review E, Chaos and Nonlinear Dynamics, and has presented his research at several international and national seminars and workshops. He has been selected to participate in the workshop "Multistability and Tipping: From Mathematics and Physics to Climate and Brain" at the Max Planck Institute for the Physics and Complex Systems, Dresden. Dr. Biswas received research funding from the Council of Scientific & Industrial Research (CSIR) (India) as a Senior Research Fellow.

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Autor: Tanmoy Banerjee
ISBN-13 :: 9783319709925
ISBN: 3319709925
Erscheinungsjahr: 07.01.2018
Verlag: Springer-Verlag GmbH
Gewicht: 239g
Seiten: 114
Sprache: Englisch
Auflage 2018
Sonstiges: Taschenbuch, 238x156x12 mm, 52 schwarz-weiße und 19 farbige Abbildungen, 30 farbige Tabellen, Bibliographie