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Essentials of Nonlinear Circuit Dynamics with MATLAB® and Laboratory Experiments

Author : Arturo Buscarino
Publisher : CRC Press
Page : 289 pages
File Size : 22,4 MB
Release : 2017-04-07
Category : Technology & Engineering
ISBN : 1351849735

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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.

Synchronization in Networks of Nonlinear Circuits

Author : Mattia Frasca
Publisher : Springer
Page : 115 pages
File Size : 48,37 MB
Release : 2018-03-10
Category : Technology & Engineering
ISBN : 3319759574

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This book addresses synchronization in networks of coupled systems. It illustrates the main aspects of the phenomenon through concise theoretical results and code, allowing readers to reproduce them and encouraging readers to pursue their own experimentation. The book begins by introducing the mathematical representation of nonlinear circuits and the code for their simulation. This is followed by a brief account of the concept of the complex network, which describes the main aspects of complex networks and the main model types, with a particular focus on the code used to study and reproduce the models. The focus then shifts to the process through which independent nonlinear circuits that follow different trajectories without coupling share some properties of their motion: synchronization. The authors present the main techniques for studying synchronization in complex networks, including the major measures, the stability properties and control techniques. The book then moves on to advanced topics in synchronization of complex networks by examining forms of synchronization in which not all the units share the same trajectory, namely chimera states, clustering synchronization, and relay and remote synchronization. Simple codes for experimentation with these topics and control methods are also provided. In closing, the book addresses the problem of synchronization in time-varying networks.

Control Of Imperfect Nonlinear Electromechanical Large Scale Systems: From Dynamics To Hardware Implementation

Author : Luigi Fortuna
Publisher : World Scientific
Page : 147 pages
File Size : 35,57 MB
Release : 2017-05-19
Category : Computers
ISBN : 9813227257

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This book focuses on a class of uncertain systems that are called imperfect, and shows how much systems can regularly work if an appropriate control strategy is adopted. Along with some practical well studied examples, a formalization of the models for imperfect system is considered and a control strategy is proposed. Experimental case studies on electromechanical systems are also included.New concepts, experimental innovative circuits and laboratory details allow the reader to implement at low cost the outlined strategy. Emergent topics in nonlinear device realization are emphasized with the aim to allow researchers and students to perform experiments with large scale electromechanical systems. Moreover, the possibility of using imperfections and noise to generate nonlinear strange behavior is discussed.

Advances in Nonlinear Dynamics

Author : Walter Lacarbonara
Publisher : Springer Nature
Page : 598 pages
File Size : 48,77 MB
Release : 2022-03-01
Category : Technology & Engineering
ISBN : 3030811700

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This third of three volumes includes papers from the second series of NODYCON, which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include · Complex dynamics of COVID-19: modeling, prediction and control · Nonlinear phenomena in bio-systems and eco-systems · Energy harvesting · MEMS/NEMS · Multifunctional structures, materials and metamaterials · Nonlinear waves · Chaotic systems, stochasticity, and uncertainty

Computational Methods for Biological Models

Author : Harendra Singh
Publisher : Springer Nature
Page : 254 pages
File Size : 19,55 MB
Release : 2023-11-05
Category : Technology & Engineering
ISBN : 9819950015

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This book discusses computational methods related to biological models using mathematical tools and techniques. The book chapters concentrate on numerical and analytical techniques that provide a global solution for biological models while keeping long-term benefits in mind. The solutions are useful in closely understanding biological models, and the results will be very useful for mathematicians, engineers, doctors, scientists and researchers working on real-life biological models. This book provides significant and current knowledge of biological models related to real-life applications. The book covers both methods and applications.

Nonlinear Dynamics in Circuits

Author : Thomas L. Carroll
Publisher : World Scientific
Page : 352 pages
File Size : 46,61 MB
Release : 1995
Category : Science
ISBN : 9789810224387

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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.

Nonlinear Dynamics

Author : Muthusamy Lakshmanan
Publisher : Springer Science & Business Media
Page : 628 pages
File Size : 48,73 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642556884

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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.

Nonlinear Dynamics

Author : H.G Solari
Publisher : CRC Press
Page : 374 pages
File Size : 36,15 MB
Release : 1996-01-01
Category : Science
ISBN : 9780750303804

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Nonlinear Dynamics: A Two-Way Trip from Physics to Math provides readers with the mathematical tools of nonlinear dynamics to tackle problems in all areas of physics. The selection of topics emphasizes bifurcation theory and topological analysis of dynamical systems. The book includes real-life problems and experiments as well as exercises and worked examples to test understanding.

Nonlinear Dynamics And Chaos

Author : Nicholas B. Tufillaro
Publisher : Addison Wesley Publishing Company
Page : 462 pages
File Size : 39,79 MB
Release : 1992-05-20
Category : Mathematics
ISBN :

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This essential handbook provides the theoretical and experimental tools necessary to begin researching the nonlinear behavior of mechanical, electrical, optical, and other systems. The book describes several nonlinear systems which are realized by desktop experiments, such as an apparatus showing chaotic string vibrations, an LRC circuit displaying strange scrolling patterns, and a bouncing ball machine illustrating the period doubling route to chaos. Fractal measures, periodic orbit extraction, and symbolic analysis are applied to unravel the chaotic motions of these systems. The simplicity of the examples makes this an excellent book for undergraduate and graduate-level physics and mathematics courses, new courses in dynamical systems, and experimental laboratories.

Nonlinear Circuits and Systems with Memristors

Author : Fernando Corinto
Publisher : Springer Nature
Page : 438 pages
File Size : 34,75 MB
Release : 2020-10-31
Category : Technology & Engineering
ISBN : 3030556514

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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.