Synchronization In Complex Networks Of Nonlinear Dynamical Systems

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Synchronization in Complex Networks of Nonlinear Dynamical Systems

Chai Wah Wu
Synchronization in Complex Networks of Nonlinear Dynamical Systems Book PDF

Author : Chai Wah Wu
Publisher : World Scientific
Page : 168 pages
File Size : 47,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812709745

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Synchronization in Complex Networks of Nonlinear Dynamical Systems by Chai Wah Wu Pdf

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.

Impulsive Synchronization of Complex Dynamical Networks

Ze Tang,Dong Ding,Yan Wang,Zhicheng Ji,Ju H. Park
Impulsive Synchronization of Complex Dynamical Networks Book PDF

Author : Ze Tang,Dong Ding,Yan Wang,Zhicheng Ji,Ju H. Park
Publisher : Springer Nature
Page : 182 pages
File Size : 47,9 Mb
Release : 2021-09-03
Category : Technology & Engineering
ISBN : 9789811653834

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Impulsive Synchronization of Complex Dynamical Networks by Ze Tang,Dong Ding,Yan Wang,Zhicheng Ji,Ju H. Park Pdf

This book is mainly focused on the global impulsive synchronization of complex dynamical networks with different types of couplings, such as general state coupling, nonlinear state coupling, time-varying delay coupling, derivative state coupling, proportional delay coupling and distributed delay coupling. Studies on impulsive synchronization of complex dynamical networks have attracted engineers and scientists from various disciplines, such as electrical engineering, mechanical engineering, mathematics, network science, system engineering. Pursuing a holistic approach, the book establishes a fundamental framework for this topic, while emphasizing the importance of network synchronization and the significant influence of impulsive control in the design and optimization of complex networks. The primary audience for the book would be the scholars and graduate students whose research topics including the network science, control theory, applied mathematics, system science and so on.

Consensus and Synchronization in Complex Networks

Ljupco Kocarev
Consensus and Synchronization in Complex Networks Book PDF

Author : Ljupco Kocarev
Publisher : Springer
Page : 282 pages
File Size : 42,7 Mb
Release : 2013-01-18
Category : Science
ISBN : 9783642333590

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Consensus and Synchronization in Complex Networks by Ljupco Kocarev Pdf

In this book for the first time two scientific fields - consensus formation and synchronization of communications - are presented together and examined through their interrelational aspects, of rapidly growing importance. Both fields have indeed attracted enormous research interest especially in relation to complex networks. In networks of dynamic systems (or agents), consensus means to reach an agreement regarding a certain quantity of interest that depends on the state of all dynamical systems (agents). Consensus problems have a long history in control theory and computer sciences, and form the foundation of the field of distributed computing. Synchronization, which defines correlated-in-time behavior between different processes and roots going back to Huygens to the least, is now a highly popular, exciting and rapidly developing topic, with applications ranging from biological networks to mathematical epidemiology, and from processing information in the brain to engineering of communications devices. The book reviews recent finding in both fields and describes novel approaches to consensus formation, where consensus is realized as an instance of the nonlinear dynamics paradigm of chaos synchronization. The chapters are written by world-known experts in both fields and cover topics ranging from fundaments to various applications of consensus and synchronization.

Synchronization

Stefano Boccaletti,Alexander N. Pisarchik,Charo I. del Genio,Andreas Amann
Synchronization Book PDF

Author : Stefano Boccaletti,Alexander N. Pisarchik,Charo I. del Genio,Andreas Amann
Publisher : Cambridge University Press
Page : 267 pages
File Size : 49,7 Mb
Release : 2018-03-29
Category : Mathematics
ISBN : 9781107056268

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Synchronization by Stefano Boccaletti,Alexander N. Pisarchik,Charo I. del Genio,Andreas Amann Pdf

A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications.

Synchronization in Networks of Nonlinear Circuits

Mattia Frasca,Lucia Valentina Gambuzza,Arturo Buscarino,Luigi Fortuna
Synchronization in Networks of Nonlinear Circuits Book PDF

Author : Mattia Frasca,Lucia Valentina Gambuzza,Arturo Buscarino,Luigi Fortuna
Publisher : Springer
Page : 109 pages
File Size : 46,5 Mb
Release : 2018-03-10
Category : Technology & Engineering
ISBN : 9783319759579

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Synchronization in Networks of Nonlinear Circuits by Mattia Frasca,Lucia Valentina Gambuzza,Arturo Buscarino,Luigi Fortuna Pdf

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.

Controlling Synchronization Patterns in Complex Networks

Judith Lehnert
Controlling Synchronization Patterns in Complex Networks Book PDF

Author : Judith Lehnert
Publisher : Springer
Page : 203 pages
File Size : 49,7 Mb
Release : 2015-11-06
Category : Science
ISBN : 9783319251158

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Controlling Synchronization Patterns in Complex Networks by Judith Lehnert Pdf

This research aims to achieve a fundamental understanding of synchronization and its interplay with the topology of complex networks. Synchronization is a ubiquitous phenomenon observed in different contexts in physics, chemistry, biology, medicine and engineering. Most prominently, synchronization takes place in the brain, where it is associated with several cognitive capacities but is - in abundance - a characteristic of neurological diseases. Besides zero-lag synchrony, group and cluster states are considered, enabling a description and study of complex synchronization patterns within the presented theory. Adaptive control methods are developed, which allow the control of synchronization in scenarios where parameters drift or are unknown. These methods are, therefore, of particular interest for experimental setups or technological applications. The theoretical framework is demonstrated on generic models, coupled chemical oscillators and several detailed examples of neural networks.

Recent Advances in Nonlinear Dynamics and Synchronization

Kyandoghere Kyamakya,Herwig Unger,Jean Chamberlain Chedjou,Nikolai F. Rulkov,Zhong Li
Recent Advances in Nonlinear Dynamics and Synchronization Book PDF

Author : Kyandoghere Kyamakya,Herwig Unger,Jean Chamberlain Chedjou,Nikolai F. Rulkov,Zhong Li
Publisher : Springer Science & Business Media
Page : 401 pages
File Size : 41,6 Mb
Release : 2009-09-28
Category : Computers
ISBN : 9783642042263

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Recent Advances in Nonlinear Dynamics and Synchronization by Kyandoghere Kyamakya,Herwig Unger,Jean Chamberlain Chedjou,Nikolai F. Rulkov,Zhong Li Pdf

The selected contributions of this book shed light on a series of interesting aspects related to nonlinear dynamics and synchronization with the aim of demonstrating some of their interesting applications in a series of selected disciplines. This book contains thirteenth chapters which are organized around five main parts. The first part (containing five chapters) does focus on theoretical aspects and recent trends of nonlinear dynamics and synchronization. The second part (two chapters) presents some modeling and simulation issues through concrete application examples. The third part (two chapters) is focused on the application of nonlinear dynamics and synchronization in transportation. The fourth part (two chapters) presents some applications of synchronization in security-related system concepts. The fifth part (two chapters) considers further applications areas, i.e. pattern recognition and communication engineering.

Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators

Rico Berner
Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators Book PDF

Author : Rico Berner
Publisher : Springer Nature
Page : 210 pages
File Size : 52,6 Mb
Release : 2021-05-31
Category : Science
ISBN : 9783030749385

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Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators by Rico Berner Pdf

The focus of this thesis is the interplay of synchrony and adaptivity in complex networks. Synchronization is a ubiquitous phenomenon observed in different contexts in physics, chemistry, biology, neuroscience, medicine, socioeconomic systems, and engineering. Most prominently, synchronization takes place in the brain, where it is associated with cognitive capacities like learning and memory, but is also a characteristic of neurological diseases like Parkinson and epilepsy. Adaptivity is common in many networks in nature and technology, where the connectivity changes in time, i.e., the strength of the coupling is continuously adjusted depending upon the dynamic state of the system, for instance synaptic neuronal plasticity in the brain. This research contributes to a fundamental understanding of various synchronization patterns, including hierarchical multifrequency clusters, chimeras and other partial synchronization states. After a concise survey of the fundamentals of adaptive and complex dynamical networks and synaptic plasticity, in the first part of the thesis the existence and stability of cluster synchronization in globally coupled adaptive networks is discussed for simple paradigmatic phase oscillators as well as for a more realistic neuronal oscillator model with spike-timing dependent plasticity. In the second part of the thesis the interplay of adaptivity and connectivity is investigated for more complex network structures like nonlocally coupled rings, random networks, and multilayer systems. Besides presenting a plethora of novel, sometimes intriguing patterns of synchrony, the thesis makes a number of pioneering methodological advances, where rigorous mathematical proofs are given in the Appendices. These results are of interest not only from a fundamental point of view, but also with respect to challenging applications in neuroscience and technological systems.

The Synchronized Dynamics of Complex Systems

Stefano Boccaletti
The Synchronized Dynamics of Complex Systems Book PDF

Author : Stefano Boccaletti
Publisher : Elsevier
Page : 259 pages
File Size : 55,9 Mb
Release : 2008-02-05
Category : Science
ISBN : 9780080560427

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The Synchronized Dynamics of Complex Systems by Stefano Boccaletti Pdf

The origin of the word synchronization is a greek root, meaning "to share the common time". The original meaning of synchronization has been maintained up to now in the colloquial use of this word, as agreement or correlation in time of different processes. Historically, the analysis of synchronization phenomena in the evolution of dynamical systems has been a subject of active investigation since the earlier days of physics. Recently, the search for synchronization has moved to chaotic systems. In this latter framework, the appearance of collective (synchronized) dynamics is, in general, not trivial. Indeed, a dynamical system is called chaotic whenever its evolution sensitively depends on the initial conditions. The above said implies that two trajectories emerging from two different closeby initial conditions separate exponentially in the course of the time. As a result, chaotic systems intrinsically defy synchronization, because even two identical systems starting from slightly different initial conditions would evolve in time in a unsynchronized manner (the differences in the systems' states would grow exponentially). This is a relevant practical problem, insofar as experimental initial conditions are never known perfectly. The setting of some collective (synchronized) behavior in coupled chaotic systems has therefore a great importance and interest.The subject of the present book is to summarize the recent discoveries involving the study of synchronization in coupled chaotic systems.Not always the word synchronization is taken as having the same colloquial meaning, and one needs to specify what synchrony means in all particular contexts in which we will describe its emergence.The book describes the complete synchronization phenomenon, both for low and for high dimensional situations, and illustrates possible applications in the field of communicating with chaos.Furthermore, the book summarizes the concepts of phase synchronization, lag synchronization, imperfect phase synchronization, and generalized synchronization, describing a general transition scenario between a hierarchy of different types of synchronization for chaotic oscillators.These concepts are extended to the case of structurally different systems, of uncoupled systems subjected to a common external source, of space extended nonlinearly evolving fields, and of dynamical units networking via a complex wiring of connections, giving thus a summary of all possible situations that are encountered in real life and in technology. Technical, but not specialistic language About 100 illustrative Figures Full overview on synchronization phenomena Review of the main tools and techniques used in the field Paradigmatic examples and experiments illustrating the basic concepts Full Reference to the main publications existing in the literature on the subject

Analysis and Control of Output Synchronization for Complex Dynamical Networks

Jin-Liang Wang,Huai-Ning Wu,Tingwen Huang,Shun-Yan Ren
Analysis and Control of Output Synchronization for Complex Dynamical Networks Book PDF

Author : Jin-Liang Wang,Huai-Ning Wu,Tingwen Huang,Shun-Yan Ren
Publisher : Springer
Page : 216 pages
File Size : 46,7 Mb
Release : 2018-08-14
Category : Technology & Engineering
ISBN : 9789811313523

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Analysis and Control of Output Synchronization for Complex Dynamical Networks by Jin-Liang Wang,Huai-Ning Wu,Tingwen Huang,Shun-Yan Ren Pdf

This book introduces recent results on output synchronization of complex dynamical networks with single and multiple weights. It discusses novel research ideas and a number of definitions in complex dynamical networks, such as H-Infinity output synchronization, adaptive coupling weights, multiple weights, the relationship between output strict passivity and output synchronization. Furthermore, it methodically edits the research results previously published in various flagship journals and presents them in a unified form. The book is of interest to university researchers and graduate students in engineering and mathematics who wish to study output synchronization of complex dynamical networks.

Complex Networks and Dynamics

Pasquale Commendatore,Mariano Matilla-García,Luis M. Varela,Jose S. Cánovas
Complex Networks and Dynamics Book PDF

Author : Pasquale Commendatore,Mariano Matilla-García,Luis M. Varela,Jose S. Cánovas
Publisher : Springer
Page : 359 pages
File Size : 48,9 Mb
Release : 2016-09-14
Category : Business & Economics
ISBN : 9783319408033

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Complex Networks and Dynamics by Pasquale Commendatore,Mariano Matilla-García,Luis M. Varela,Jose S. Cánovas Pdf

This volume sheds light on the current state of complex networks and nonlinear dynamics applied to the understanding of economic and social phenomena ranging from geographical economics to macroeconomics and finance, and its purpose is to give readers an overview of several interesting topics for research at an intermediate level. Three different and interdisciplinary, but complementary, aspects of networks are put together in a single piece, namely: (i) complex networks theory, (ii) applied network analysis to social and economic interrelations, and (iii) dynamical evolution of systems and networks. The volume includes contributions from excellent scholars in economics and social sciences as well as leading experts in the fields of complex networks and nonlinear dynamics.

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 2

Santo Banerjee,Lamberto Rondoni,Mala Mitra
Applications of Chaos and Nonlinear Dynamics in Science and Engineering Vol 2 Book PDF

Author : Santo Banerjee,Lamberto Rondoni,Mala Mitra
Publisher : Springer
Page : 270 pages
File Size : 41,9 Mb
Release : 2012-07-17
Category : Technology & Engineering
ISBN : 9783642293290

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Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 2 by Santo Banerjee,Lamberto Rondoni,Mala Mitra Pdf

Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever the quantitative modeling and analysis of complex, nonlinear phenomena are required, chaos theory and its methods can play a key role. This second volume concentrates on reviewing further relevant, contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. This encompasses, but is not limited to, topics such as the spread of epidemics; electronic circuits; chaos control in mechanical devices; secure communication; and digital watermarking. Featuring contributions from active and leading research groups, this collection is ideal both as a reference work and as a ‘recipe book’ full of tried and tested, successful engineering applications.

Nonlinear Structural Dynamics and Damping

Juan Carlos Jauregui
Nonlinear Structural Dynamics and Damping Book PDF

Author : Juan Carlos Jauregui
Publisher : Springer
Page : 324 pages
File Size : 43,8 Mb
Release : 2019-03-14
Category : Technology & Engineering
ISBN : 9783030133177

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Nonlinear Structural Dynamics and Damping by Juan Carlos Jauregui Pdf

This book compiles recent research in the field of nonlinear dynamics, vibrations and damping applied to engineering structures. It addresses the modeling of nonlinear vibrations in beams, frames and complex mechanical systems, as well as the modeling of damping systems and viscoelastic materials applied to structural dynamics. The book includes several chapters related to solution techniques and signal analysis techniques. Last but not least, it deals with the identification of nonlinear responses applied to condition monitoring systems.

Passivity of Complex Dynamical Networks

Jin-Liang Wang,Huai-Ning Wu,Shun-Yan Ren
Passivity of Complex Dynamical Networks Book PDF

Author : Jin-Liang Wang,Huai-Ning Wu,Shun-Yan Ren
Publisher : Springer Nature
Page : 253 pages
File Size : 44,8 Mb
Release : 2020-12-12
Category : Technology & Engineering
ISBN : 9789813342873

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Passivity of Complex Dynamical Networks by Jin-Liang Wang,Huai-Ning Wu,Shun-Yan Ren Pdf

This book intends to introduce some recent results on passivity of complex dynamical networks with single weight and multiple weights. The book collects novel research ideas and some definitions in complex dynamical networks, such as passivity, output strict passivity, input strict passivity, finite-time passivity, and multiple weights. Furthermore, the research results previously published in many flagship journals are methodically edited and presented in a unified form. The book is likely to be of interest to university researchers and graduate students in Engineering and Mathematics who wish to study the passivity of complex dynamical networks.

Fundamentals of Complex Networks

Guanrong Chen,Xiaofan Wang,Xiang Li
Fundamentals of Complex Networks Book PDF

Author : Guanrong Chen,Xiaofan Wang,Xiang Li
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 55,8 Mb
Release : 2015-06-29
Category : Computers
ISBN : 9781118718117

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Fundamentals of Complex Networks by Guanrong Chen,Xiaofan Wang,Xiang Li Pdf

Complex networks such as the Internet, WWW, transportation networks, power grids, biological neural networks, and scientific cooperation networks of all kinds provide challenges for future technological development. • The first systematic presentation of dynamical evolving networks, with many up-to-date applications and homework projects to enhance study • The authors are all very active and well-known in the rapidly evolving field of complex networks • Complex networks are becoming an increasingly important area of research • Presented in a logical, constructive style, from basic through to complex, examining algorithms, through to construct networks and research challenges of the future