Synchronization in Networks of Nonlinear Circuits

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Release : 2018-03-10
Genre : Technology & Engineering
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Book Rating : 574/5 ( reviews)

Synchronization in Networks of Nonlinear Circuits - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Synchronization in Networks of Nonlinear Circuits write by Mattia Frasca. This book was released on 2018-03-10. Synchronization in Networks of Nonlinear Circuits available in PDF, EPUB and Kindle. 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.

Synchronization in Complex Networks of Nonlinear Dynamical Systems

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Release : 2007
Genre : Mathematics
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Book Rating : 746/5 ( reviews)

Synchronization in Complex Networks of Nonlinear Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Synchronization in Complex Networks of Nonlinear Dynamical Systems write by Chai Wah Wu. This book was released on 2007. Synchronization in Complex Networks of Nonlinear Dynamical Systems available in PDF, EPUB and Kindle. This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems synchronizes. While there are many texts that study synchronization in chaotic systems or properties of complex networks, there are few texts that consider the intersection of these two very active and interdisciplinary research areas. The main theme of this book is that synchronization conditions can be related to graph theoretical properties of the underlying coupling topology. The book introduces ideas from systems theory, linear algebra and graph theory and the synergy between them that are necessary to derive synchronization conditions. Many of the results, which have been obtained fairly recently and have until now not appeared in textbook form, are presented with complete proofs. This text is suitable for graduate-level study or for researchers who would like to be better acquainted with the latest research in this area. Sample Chapter(s). Chapter 1: Introduction (76 KB). Contents: Graphs, Networks, Laplacian Matrices and Algebraic Connectivity; Graph Models; Synchronization in Networks of Nonlinear Continuous-Time Dynamical Systems; Synchronization in Networks of Coupled Discrete-Time Systems; Synchronization in Network of Systems with Linear Dynamics; Agreement and Consensus Problems in Groups of Interacting Agents. Readership: Graduate students and researchers in physics, applied mathematics and engineering.

Nonlinear Dynamics in Circuits

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Release : 1995
Genre : Science
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Book Rating : 387/5 ( reviews)

Nonlinear Dynamics in Circuits - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Dynamics in Circuits write by Thomas L. Carroll. This book was released on 1995. Nonlinear Dynamics in Circuits available in PDF, EPUB and Kindle. 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.

Cellular Neural Networks, Multi-scroll Chaos and Synchronization

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Release : 2005
Genre : Computers
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Book Rating : 617/5 ( reviews)

Cellular Neural Networks, Multi-scroll Chaos and Synchronization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cellular Neural Networks, Multi-scroll Chaos and Synchronization write by M?tak E. Yal‡in. This book was released on 2005. Cellular Neural Networks, Multi-scroll Chaos and Synchronization available in PDF, EPUB and Kindle. For engineering applications that are based on nonlinear phenomena, novel information processing systems require new methodologies and design principles. This perspective is the basis of the three cornerstones of this book: cellular neural networks, chaos and synchronization. Cellular neural networks and their universal machine implementations offer a well-established platform for processing spatial-temporal patterns and wave computing. Multi-scroll circuits are generalizations to the original Chua's circuit, leading to chip implementable circuits with increasingly complex attractors. Several applications make use of synchronization techniques for nonlinear systems. A systematic overview is given for Lur'e representable systems with global synchronization criteria for master-slave and mutual synchronization, robust synchronization, HV synchronization, time-delayed systems and impulsive synchronization.

Cellular Neural Networks, Multi-scroll Chaos And Synchronization

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Release : 2005-02-14
Genre : Science
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Book Rating : 959/5 ( reviews)

Cellular Neural Networks, Multi-scroll Chaos And Synchronization - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Cellular Neural Networks, Multi-scroll Chaos And Synchronization write by Johan A K Suykens. This book was released on 2005-02-14. Cellular Neural Networks, Multi-scroll Chaos And Synchronization available in PDF, EPUB and Kindle. For engineering applications that are based on nonlinear phenomena, novel information processing systems require new methodologies and design principles. This perspective is the basis of the three cornerstones of this book: cellular neural networks, chaos and synchronization. Cellular neural networks and their universal machine implementations offer a well-established platform for processing spatial-temporal patterns and wave computing. Multi-scroll circuits are generalizations to the original Chua's circuit, leading to chip implementable circuits with increasingly complex attractors. Several applications make use of synchronization techniques for nonlinear systems. A systematic overview is given for Lur'e representable systems with global synchronization criteria for master-slave and mutual synchronization, robust synchronization, H∞ synchronization, time-delayed systems and impulsive synchronization.