Nonlinear Dynamics In Circuits

Author : Thomas L. Carroll,Louis M. Pecora
Publisher : World Scientific
Page : 352 pages
File Size : 44,9 Mb
Release : 1995
Category : Science
ISBN : 9810224389

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Nonlinear Dynamics in Circuits by Thomas L. Carroll,Louis M. Pecora Pdf

This volume describes the use of simple analog circuits to study nonlinear dynamics, chaos and stochastic resonance. The circuit experiments that are described are mostly easy and inexpensive to reproduce, and yet these experiments come from the forefront of nonlinear dynamics research. The individual chapters describe why analog circuits are so useful for studying nonlinear dynamics, and include theoretical as well as experimental results from some of the leading researchers in the field. Most of the articles contain some tutorial sections for the less experienced readers.The audience for this book includes researchers in nonlinear dynamics, chaos and statistical physics as well as electrical engineering, and graduate and advanced undergraduate students in these fields.

Author : Fernando Corinto,Mauro Forti,Leon O. Chua
Publisher : Springer Nature
Page : 438 pages
File Size : 46,7 Mb
Release : 2020-10-31
Category : Technology & Engineering
ISBN : 9783030556518

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Nonlinear Circuits and Systems with Memristors by Fernando Corinto,Mauro Forti,Leon O. Chua Pdf

This book presents a new approach to the study of physical nonlinear circuits and advanced computing architectures with memristor devices. Such a unified approach to memristor theory has never been systematically presented in book form. After giving an introduction on memristor-based nonlinear dynamical circuits (e.g., periodic/chaotic oscillators) and their use as basic computing analogue elements, the authors delve into the nonlinear dynamical properties of circuits and systems with memristors and present the flux-charge analysis, a novel method for analyzing the nonlinear dynamics starting from writing Kirchhoff laws and constitutive relations of memristor circuit elements in the flux-charge domain. This analysis method reveals new peculiar and intriguing nonlinear phenomena in memristor circuits, such as the coexistence of different nonlinear dynamical behaviors, extreme multistability and bifurcations without parameters. The book also describes how arrays of memristor-based nonlinear oscillators and locally-coupled neural networks can be applied in the field of analog computing architectures, for example for pattern recognition. The book will be of interest to scientists and engineers involved in the conceptual design of physical memristor devices and systems, mathematical and circuit models of physical processes, circuits and networks design, system engineering, or data processing and system analysis.

Author : Arturo Buscarino,Luigi Fortuna,Mattia Frasca
Publisher : CRC Press
Page : 261 pages
File Size : 43,7 Mb
Release : 2017-04-07
Category : Technology & Engineering
ISBN : 9781351849722

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Essentials of Nonlinear Circuit Dynamics with MATLAB® and Laboratory Experiments by Arturo Buscarino,Luigi Fortuna,Mattia Frasca Pdf

This book deals with nonlinear dynamics of electronic circuits, which could be used in robot control, secure communications, sensors and synchronized networks. The genesis of the content is related to a course on complex adaptive systems that has been held at the University of Catania since 2005. The efforts are devoted in order to emulate with nonlinear electronic circuits nonlinear dynamics. Step-by-step methods show the essential concepts of complex systems by using the Varela diagrams and accompanying MATLAB® exercises to reinforce new information. Special attention has been devoted to chaotic systems and networks of chaotic circuits by exploring the fundamentals, such as synchronization and control. The aim of the book is to give to readers a comprehensive view of the main concepts of nonlinear dynamics to help them better understand complex systems and their control through the use of electronics devices.

Author : Muthusamy Lakshmanan,Shanmuganathan Rajaseekar
Publisher : Springer Science & Business Media
Page : 644 pages
File Size : 48,9 Mb
Release : 2002-11-12
Category : Mathematics
ISBN : 3540439080

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Nonlinear Dynamics by Muthusamy Lakshmanan,Shanmuganathan Rajaseekar Pdf

This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.

Author : M. Daniel,Shanmuganathan Rajasekar
Publisher : Unknown
Page : 0 pages
File Size : 43,5 Mb
Release : 2009
Category : Dynamics
ISBN : 8173199418

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Nonlinear Dynamics by M. Daniel,Shanmuganathan Rajasekar Pdf

The field of nonlinear dynamics is witnessing an enormous progress in its various concepts like integrability, soliton, chaos and synchronization. Fascinating results on various nonlinear continuous time dynamical systems, maps, electronic circuits, coupled oscillators and several other physical systems have been obtained. Technological applications of nonlinear phenomena have also been proposed. The contributions in Nonlinear Dynamics cover recent developments on theoretical procedures and predictions, experimental observations and certain applications. As the book gives a comprehensive picture of the recent developments in nonlinear phenomena, it will be useful to wide audience including students, teachers and researchers in physics, applied mathematics and engineering who wish to learn the recent trends in nonlinear dynamics.

Author : Fadhil Rahma,Saif Muneam
Publisher : Springer
Page : 98 pages
File Size : 44,9 Mb
Release : 2019-01-19
Category : Technology & Engineering
ISBN : 9783030119218

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Memristive Nonlinear Electronic Circuits by Fadhil Rahma,Saif Muneam Pdf

Memristive Nonlinear Electronic Circuits deals with nonlinear systems in the design and implementation of circuits for generating complex dynamics. The brief proposes a new memristor model using an inverse tangent function, which achieves the characteristics of the memristor and can be implemented easily because it corresponds to the bipolar transistor differential pair. The authors design a new model-based memristive time-delay system by obtaining a time-delay memristive differential equation, which can generate an n-scroll chaotic attractor by adjusting the proposed nonlinear function. These designs are carried out using OrCAD-PSpice. The brief also presents a new time-delay memristive circuit excited by a nonautonomous staircase function which can generate grid chaotic attractors: new families of grids of n×m-scrolls. For increasingly complex dynamics of the circuits, the authors propose a new five-dimensional autonomous system with two memristors. The dynamical characteristics are investigated by phase portraits and bifurcation diagrams. The brief applies two synchronization methods to the memristive circuits: PC synchronization, and feedback control synchronization. The authors consider synchronization as the idea underlying idea the applications in nonlinear electronic circuits. Finally, the double-memristor system is employed to give rise to a highly secure dual-stage encryption technique.

Author : Wai-Kai Chen
Publisher : CRC Press
Page : 455 pages
File Size : 40,6 Mb
Release : 2018-10-08
Category : Technology & Engineering
ISBN : 9781351835053

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Feedback, Nonlinear, and Distributed Circuits by Wai-Kai Chen Pdf

Upon its initial publication, the Handbook of Circuits and Filters broke new ground. It quickly became the resource for comprehensive coverage of issues and practical information that can be put to immediate use. Not content to rest on his laurels, editor Wai-kai Chen divided the second edition into volumes, making the information easily accessible and digestible. In the third edition, these volumes have been revised, updated, and expanded so that they continue to provide solid coverage of standard practices and enlightened perspectives on new and emerging techniques. Feedback, Nonlinear, and Distributed Circuits draws together international contributors who discuss feedback amplifier theory and then move on to explore feedback amplifier configurations. They develop Bode’s feedback theory as an example of general feedback theory. The coverage then moves on to the importance of complementing numerical analysis with qualitative analysis to get a global picture of a circuit’s performance. After reviewing a wide range of approximation techniques and circuit design styles for discreet and monolithic circuits, the book presents a comprehensive description of the use of piecewise-linear methods in modeling, analysis, and structural properties of nonlinear circuits highlighting the advantages. It describes the circuit modeling in the frequency domain of uniform MTL based on the Telegrapher’s equations and covers frequency and time domain experimental characterization techniques for uniform and nonuniform multiconductor structures. This volume will undoubtedly take its place as the engineer's first choice in looking for solutions to problems encountered in the analysis and behavior predictions of circuits and filters.

Author : Arturo Buscarino,Luigi Fortuna,Ruedi Stoop
Publisher : World Scientific
Page : 151 pages
File Size : 52,9 Mb
Release : 2019-01-08
Category : Technology & Engineering
ISBN : 9789811201530

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Advances On Nonlinear Dynamics Of Electronic Systems by Arturo Buscarino,Luigi Fortuna,Ruedi Stoop Pdf

This book comprises the most recent advanced results on nonlinear electronic circuits, and the contents range from networks, synchronization, memristors to several other topics. Both theory and advanced timely results are included. It provides an overview of popular themes in the field of nonlinear dynamics of electronic circuits with contributions from outstanding scientists.

Author : Visarath In,Patrick Longhini,Antonio Palacios
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 43,5 Mb
Release : 2009-02-11
Category : Technology & Engineering
ISBN : 9783540856320

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Applications of Nonlinear Dynamics by Visarath In,Patrick Longhini,Antonio Palacios Pdf

The ?eld of applied nonlinear dynamics has attracted scientists and engineers across many different disciplines to develop innovative ideas and methods to study c- plex behavior exhibited by relatively simple systems. Examples include: population dynamics, ?uidization processes, applied optics, stochastic resonance, ?ocking and ?ightformations,lasers,andmechanicalandelectricaloscillators. Acommontheme among these and many other examples is the underlying universal laws of nonl- ear science that govern the behavior, in space and time, of a given system. These laws are universal in the sense that they transcend the model-speci?c features of a system and so they can be readily applied to explain and predict the behavior of a wide ranging phenomena, natural and arti?cial ones. Thus the emphasis in the past decades has been in explaining nonlinear phenomena with signi?cantly less att- tion paid to exploiting the rich behavior of nonlinear systems to design and fabricate new devices that can operate more ef?ciently. Recently, there has been a series of meetings on topics such as Experimental Chaos, Neural Coding, and Stochastic Resonance, which have brought together many researchers in the ?eld of nonlinear dynamics to discuss, mainly, theoretical ideas that may have the potential for further implementation. In contrast, the goal of the 2007 ICAND (International Conference on Applied Nonlinear Dynamics) was focused more sharply on the implementation of theoretical ideas into actual - vices and systems.

Author : Bharathwaj Muthuswamy,Santo Banerjee
Publisher : Springer
Page : 360 pages
File Size : 41,8 Mb
Release : 2018-10-26
Category : Technology & Engineering
ISBN : 9783319673257

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Introduction to Nonlinear Circuits and Networks by Bharathwaj Muthuswamy,Santo Banerjee Pdf

This course-based text revisits classic concepts in nonlinear circuit theory from a very much introductory point of view: the presentation is completely self-contained and does not assume any prior knowledge of circuit theory. It is simply assumed that readers have taken a first-year undergraduate course in differential and integral calculus, along with an elementary physics course in classical mechanics and electrodynamics. Further, it discusses topics not typically found in standard textbooks, such as nonlinear operational amplifier circuits, nonlinear chaotic circuits and memristor networks. Each chapter includes a set of illustrative and worked examples, along with end-of-chapter exercises and lab exercises using the QUCS open-source circuit simulator. Solutions and other material are provided on the YouTube channel created for this book by the authors.

Author : Anthony C Davies,Wolfgang Schwarz
Publisher : World Scientific
Page : 442 pages
File Size : 49,6 Mb
Release : 1994-05-31
Category : Electronic
ISBN : 9789814550895

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Nonlinear Dynamics Of Electronic Systems - Proceedings Of The Workshop Ndes ’93 by Anthony C Davies,Wolfgang Schwarz Pdf

This volume contains the extended versions of the papers presented at an international specialist workshop in July 1993, together with some additional contributions, all concerned with the analysis and applications of electronic circuits with chaotic behaviour, providing a topical overview of work in this rapidly developing field.

Author : Mauro Parodi,Marco Storace
Publisher : Springer Nature
Page : 520 pages
File Size : 51,5 Mb
Release : 2020-01-03
Category : Technology & Engineering
ISBN : 9783030350444

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Linear and Nonlinear Circuits: Basic and Advanced Concepts by Mauro Parodi,Marco Storace Pdf

This book provides readers with the necessary background information and advanced concepts in the field of circuits, at the crossroads between physics, mathematics and system theory. It covers various engineering subfields, such as electrical devices and circuits, and their electronic counterparts. Based on the idea that a modern university course should provide students with conceptual tools to understand the behavior of both linear and nonlinear circuits, to approach current problems posed by new, cutting-edge devices and to address future developments and challenges, the book places equal emphasis on linear and nonlinear, two‐terminal and multi‐terminal, as well as active and passive circuit components. This second volume focuses on dynamical circuits, which are characterized by time evolution and by the concept of state. The content is divided into a set of introductory and a set of advanced‐level topics, mirroring the approach used in the previously published volume. Whenever possible, circuits are compared to physical systems of different natures (e.g. mechanical or biological) that exhibit the same dynamical behavior. The book also features a wealth of examples and numerous solved problems. Further topics, such as a more general framing of linear and nonlinear components, will be discussed in volume 3.

Author : Muthusamy Lakshmanan,Dharmapuri Vijayan Senthilkumar
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 47,5 Mb
Release : 2011-01-04
Category : Science
ISBN : 9783642149382

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Dynamics of Nonlinear Time-Delay Systems by Muthusamy Lakshmanan,Dharmapuri Vijayan Senthilkumar Pdf

Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of real-world applications.

Author : Christos Volos,Sajad Jafari,Jacques Kengne,Jesus M. Munoz-Pacheco,Karthikeyan Rajagopal
Publisher : MDPI
Page : 290 pages
File Size : 55,5 Mb
Release : 2019-05-03
Category : Technology & Engineering
ISBN : 9783038978985

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Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-excited Attractors by Christos Volos,Sajad Jafari,Jacques Kengne,Jesus M. Munoz-Pacheco,Karthikeyan Rajagopal Pdf

In recent years, entropy has been used as a measure of the degree of chaos in dynamical systems. Thus, it is important to study entropy in nonlinear systems. Moreover, there has been increasing interest in the last few years regarding the novel classification of nonlinear dynamical systems including two kinds of attractors: self-excited attractors and hidden attractors. The localization of self-excited attractors by applying a standard computational procedure is straightforward. In systems with hidden attractors, however, a specific computational procedure must be developed, since equilibrium points do not help in the localization of hidden attractors. Some examples of this kind of system are chaotic dynamical systems with no equilibrium points; with only stable equilibria, curves of equilibria, and surfaces of equilibria; and with non-hyperbolic equilibria. There is evidence that hidden attractors play a vital role in various fields ranging from phase-locked loops, oscillators, describing convective fluid motion, drilling systems, information theory, cryptography, and multilevel DC/DC converters. This Special Issue is a collection of the latest scientific trends on the advanced topics of dynamics, entropy, fractional order calculus, and applications in complex systems with self-excited attractors and hidden attractors.

Author : Fathi M. Abdel Salam,Mark Levi
Publisher : SIAM
Page : 442 pages
File Size : 52,7 Mb
Release : 1988-01-01
Category : Science
ISBN : 0898712181

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Dynamical Systems Approaches to Nonlinear Problems in Systems and Circuits by Fathi M. Abdel Salam,Mark Levi Pdf