Dynamical System Synchronization

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Synchronization in Complex Networks of Nonlinear Dynamical Systems

Author : Chai Wah Wu
Publisher : World Scientific
ISBN 13 : 9812709746
Total Pages : 168 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Synchronization in Complex Networks of Nonlinear Dynamical Systems by : Chai Wah Wu

Download or read book Synchronization in Complex Networks of Nonlinear Dynamical Systems written by Chai Wah Wu and published by World Scientific. This book was released on 2007 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Dynamical System Synchronization

Author : Albert C. J. Luo
Publisher : Springer Science & Business Media
ISBN 13 : 1461450977
Total Pages : 245 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Dynamical System Synchronization by : Albert C. J. Luo

Download or read book Dynamical System Synchronization written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2013-03-22 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems. The book details the sufficient and necessary conditions for dynamical systems synchronizations, through extensive mathematical expression. Techniques for engineering implementation of DSS are clearly presented compared with the existing techniques.

The Synchronized Dynamics of Complex Systems

Author : Stefano Boccaletti
Publisher : Elsevier
ISBN 13 : 0080560423
Total Pages : 259 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis The Synchronized Dynamics of Complex Systems by : Stefano Boccaletti

Download or read book The Synchronized Dynamics of Complex Systems written by Stefano Boccaletti and published by Elsevier. This book was released on 2008-02-05 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Synchronization of Integral and Fractional Order Chaotic Systems

Author : Rafael Martínez-Guerra
Publisher : Springer
ISBN 13 : 331915284X
Total Pages : 242 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Synchronization of Integral and Fractional Order Chaotic Systems by : Rafael Martínez-Guerra

Download or read book Synchronization of Integral and Fractional Order Chaotic Systems written by Rafael Martínez-Guerra and published by Springer. This book was released on 2015-03-17 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems. This is achieved using a combination of analytic, algebraic, geometrical and asymptotical methods to tackle the dynamical feedback stabilization problem. In particular, differential-geometric and algebraic differential concepts reveal important structural properties of chaotic systems and serve as guide for the construction of design procedures for a wide variety of chaotic systems. The basic differential algebraic and geometric concepts are presented in the first few chapters in a novel way as design tools, together with selected experimental studies demonstrating their importance. The subsequent chapters treat recent applications. Written for graduate students in applied physical sciences, systems engineers, and applied mathematicians interested in synchronization of chaotic systems and in secure communications, this self-contained text requires only basic knowledge of integer ordinary and fractional ordinary differential equations. Design applications are illustrated with the help of several physical models of practical interest.

Chaotic Synchronization

Author : Erik Mosekilde
Publisher : World Scientific
ISBN 13 : 9789810247898
Total Pages : 444 pages
Book Rating : 4.2/5 (478 download)

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Book Synopsis Chaotic Synchronization by : Erik Mosekilde

Download or read book Chaotic Synchronization written by Erik Mosekilde and published by World Scientific. This book was released on 2002 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the fascinating new concept of chaotic sychronization.

Emergence of Dynamical Order

Author : Susanna C. Manrubia
Publisher : World Scientific
ISBN 13 : 9789812562463
Total Pages : 362 pages
Book Rating : 4.5/5 (624 download)

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Book Synopsis Emergence of Dynamical Order by : Susanna C. Manrubia

Download or read book Emergence of Dynamical Order written by Susanna C. Manrubia and published by World Scientific. This book was released on 2004 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large populations of interacting active elements, periodic or chaotic, can undergo spontaneous transitions to dynamically ordered states. These collective states are characterized by self-organized coherence revealed by full mutual synchronization of individual dynamics or the formation of multiple synchronous clusters. Such self-organization phenomena are essential for the functioning of complex systems of various origins, both natural and artificial. This book provides a detailed introduction to the theory of collective synchronization phenomena in large complex systems. Transitions to dynamical clustering and synchronized states are systematically discussed. Such concepts as dynamical order parameters, glass like behavior and hierarchical organization are presented.

Emergence of Dynamical Order

Author : Susanna C Manrubia
Publisher : World Scientific
ISBN 13 : 9814482951
Total Pages : 360 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Emergence of Dynamical Order by : Susanna C Manrubia

Download or read book Emergence of Dynamical Order written by Susanna C Manrubia and published by World Scientific. This book was released on 2004-04-14 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' Synchronization processes bring about dynamical order and lead to spontaneous development of structural organization in complex systems of various origins, from chemical oscillators and biological cells to human societies and the brain. This book provides a review and a detailed theoretical analysis of synchronization phenomena in complex systems with different architectures, composed of elements with periodic or chaotic individual dynamics. Special attention is paid to statistical concepts, such as nonequilibrium phase transitions, order parameters and dynamical glasses. Contents:Synchronization and Clustering of Periodic Oscillators:Ensembles of Identical Phase OscillatorsHeterogeneous Ensembles and the Effects of NoiseOscillator NetworksArrays of Limit-Cycle OscillatorsSynchronization and Clustering in Chaotic Systems:Chaos and SynchronizationSynchronization in Populations of Chaotic ElementsClusteringDynamical GlassesSelected Applications:Chemical SystemsBiological CellsNeural Networks Readership: Graduate students and academics interested in complex systems. Keywords:Self-Organization;Nonlinear Dynamics;Chaos;Collective Synchronization;Dynamical Clustering;Hierarchical OrderReviews:“This book makes an additional contribution to the topic paying special attention to statistical concepts, such as nonequilibrium phase transitions, order parameters and dynamical glasses. Another distinguishing feature of the book is that it includes applications in chemistry, cell biology, and brain science.”Zentralblatt MATH '

Synchronization and Control of Chaos

Author : J M González-Miranda
Publisher : World Scientific
ISBN 13 : 1783260556
Total Pages : 224 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Synchronization and Control of Chaos by : J M González-Miranda

Download or read book Synchronization and Control of Chaos written by J M González-Miranda and published by World Scientific. This book was released on 2004-10-12 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive overview of the research and latest developments in the field of the dynamics of coupled and driven chaotic oscillators, aimed at a wide audience. Since 1990, there has been very active research devoted to the field, culminating in a considerable body of knowledge, while active research continues. The results presented in the book will be valuable for scientific analysis and explanation in various different scientific disciplines, with potential applications in medicine and engineering. The contents include a selection of the most basic theoretical results, as well as experiments and applications presented at a mathematical level suited to readers working in non-hard sciences. It will also be of interest to physicists and mathematicians looking for an introduction to the field. Contents:Dynamics of Coupled and Driven Harmonic OscillatorsChaotic OscillatorsPeriodically Driven Chaotic OscillatorsChaotic Oscillators Driven by Chaotic SignalsPerturbing Chaotic Systems to Control ChaosMutually Coupled Identical Chaotic OscillatorMutually Coupled Non-Identical OscillatorsOn the Dynamics of Coupled and Driven Chaotic Oscillators Readership: Postgraduate students, researchers, engineers and academics interested in the control or synchronization of chaos. Key Features:A broad and systematic account of research on dynamics of coupled and driven chaotic oscillatorsKeywords:Nonlinear Science;Dynamical Systems;Chaos;Deterministic Chaos;Chaotic Oscillators;Synchronization of Chaos;Control of Chaos;Applications of Chaos

Recent Advances in Nonlinear Dynamics and Synchronization

Author : Kyandoghere Kyamakya
Publisher : Springer
ISBN 13 : 3319589962
Total Pages : 367 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Recent Advances in Nonlinear Dynamics and Synchronization by : Kyandoghere Kyamakya

Download or read book Recent Advances in Nonlinear Dynamics and Synchronization written by Kyandoghere Kyamakya and published by Springer. This book was released on 2017-07-25 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on modelling and simulation, control and optimization, signal processing, and forecasting in selected nonlinear dynamical systems, presenting both literature reviews and novel concepts. It develops analytical or numerical approaches, which are simple to use, robust, stable, flexible and universally applicable to the analysis of complex nonlinear dynamical systems. As such it addresses key challenges are addressed, e.g. efficient handling of time-varying dynamics, efficient design, faster numerical computations, robustness, stability and convergence of algorithms. The book provides a series of contributions discussing either the design or analysis of complex systems in sciences and engineering, and the concepts developed involve nonlinear dynamics, synchronization, optimization, machine learning, and forecasting. Both theoretical and practical aspects of diverse areas are investigated, specifically neurocomputing, transportation engineering, theoretical electrical engineering, signal processing, communications engineering, and computational intelligence. It is a valuable resource for students and researchers interested in nonlinear dynamics and synchronization with applications in selected areas.

Synchronization

Author : Stefano Boccaletti
Publisher : Cambridge University Press
ISBN 13 : 1107056268
Total Pages : 267 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Synchronization by : Stefano Boccaletti

Download or read book Synchronization written by Stefano Boccaletti and published by Cambridge University Press. This book was released on 2018-03-29 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications.

Synchronization

Author : Arkady Pikovsky
Publisher : Cambridge University Press
ISBN 13 : 0521592852
Total Pages : 435 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Synchronization by : Arkady Pikovsky

Download or read book Synchronization written by Arkady Pikovsky and published by Cambridge University Press. This book was released on 2001-10-18 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes synchronization phenomena using both classical results and more recent developments.

Statistical Physics of Synchronization

Author : Shamik Gupta
Publisher : Springer
ISBN 13 : 3319966642
Total Pages : 121 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Statistical Physics of Synchronization by : Shamik Gupta

Download or read book Statistical Physics of Synchronization written by Shamik Gupta and published by Springer. This book was released on 2018-08-28 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces and discusses the analysis of interacting many-body complex systems exhibiting spontaneous synchronization from the perspective of nonequilibrium statistical physics. While such systems have been mostly studied using dynamical system theory, the book underlines the usefulness of the statistical physics approach to obtain insightful results in a number of representative dynamical settings. Although it is intractable to follow the dynamics of a particular initial condition, statistical physics allows to derive exact analytical results in the limit of an infinite number of interacting units. Chapter one discusses dynamical characterization of individual units of synchronizing systems as well as of their interaction and summarizes the relevant tools of statistical physics. The latter are then used in chapters two and three to discuss respectively synchronizing systems with either a first- or a second-order evolution in time. This book provides a timely introduction to the subject and is meant for the uninitiated as well as for experienced researchers working in areas of nonlinear dynamics and chaos, statistical physics, and complex systems.

Robust Synchronization of Chaotic Systems via Feedback

Author : Ricardo Femat
Publisher : Springer
ISBN 13 : 3540693076
Total Pages : 202 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Robust Synchronization of Chaotic Systems via Feedback by : Ricardo Femat

Download or read book Robust Synchronization of Chaotic Systems via Feedback written by Ricardo Femat and published by Springer. This book was released on 2009-01-23 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This pages include the results derived during last ten years about both suppression and synchronization of chaotic -continuous time- systems. Along this time, our concept was to study how the intrinsic properties of dynamical systems can be exploited to suppress and to synchronize the chaotic behavior and what synchronization phen- ena can be found under feedback interconnection. Our findings have caused surprise to us and have stimulated our astonishing capability. Perhaps, reader can imagine our faces with opens eyes like children seeing around objects; which are possibly obvious for others and novel for us. A compilation of our surprises about these findings is being described along this book. Book contains both objectives to share our ama- ment and to show our perspective on synchronization of chaotic systems. Thus, while we were writing the preface, we discussed its scope. Thinking as a book readers, we found that a preface should answer, in few words, the following question: What can the reader find in this book?, reader can find our steps toward understanding of c- otic behavior and the possibility of suppressing and synchronizing it. We firstly show the chaos suppression form experimental domain to potential implementation in high tech system as a levitation system based on High Temperature Superconductors (HTS). This chapter is used as departing point towards a more complicated problem the chaotic synchronization. Then, reader travels by the synchronization of the chaotic behavior world throughout distinct feedback approaches.

Recent Advances in Chaotic Systems and Synchronization

Author : Olfa Boubaker
Publisher : Academic Press
ISBN 13 : 012816266X
Total Pages : 391 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Recent Advances in Chaotic Systems and Synchronization by : Olfa Boubaker

Download or read book Recent Advances in Chaotic Systems and Synchronization written by Olfa Boubaker and published by Academic Press. This book was released on 2018-11-05 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Advances in Chaotic Systems and Synchronization: From Theory to Real World Applications is a major reference for scientists and engineers interested in applying new computational and mathematical tools for solving complex problems related to modeling, analyzing and synchronizing chaotic systems. Furthermore, it offers an array of new, real-world applications in the field. Written by eminent scientists in the field of control theory and nonlinear systems from 19 countries (Cameroon, China, Ethiopia, France, Greece, India, Italia, Iran, Japan, Mexico, and more), this book covers the latest advances in chaos theory, along with the efficiency of novel synchronization approaches. Readers will find the fundamentals and algorithms related to the analysis and synchronization of chaotic systems, along with key applications, including electronic design, text and image encryption, and robot control and tracking. Explores and evaluates the latest real-world applications of chaos across various engineering and biomedical engineering fields Investigates advances in chaos synchronization techniques, including the continuous sliding-mode control approach, hybrid synchronization between chaotic and hyperchaotic systems, and neural network synchronization Presents recent advances in chaotic systems through an overview of new systems and new proprieties

Synchronization

Author : Alexander Balanov
Publisher : Springer Science & Business Media
ISBN 13 : 3540721282
Total Pages : 426 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Synchronization by : Alexander Balanov

Download or read book Synchronization written by Alexander Balanov and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fascinating work is devoted to the fundamental phenomenon in physics – synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from the human heart to neural networks. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.

Advances in Computing and Information Technology

Author : Natarajan Meghanathan
Publisher : Springer Science & Business Media
ISBN 13 : 3642315992
Total Pages : 712 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Advances in Computing and Information Technology by : Natarajan Meghanathan

Download or read book Advances in Computing and Information Technology written by Natarajan Meghanathan and published by Springer Science & Business Media. This book was released on 2012-08-13 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international conference on Advances in Computing and Information technology (ACITY 2012) provides an excellent international forum for both academics and professionals for sharing knowledge and results in theory, methodology and applications of Computer Science and Information Technology. The Second International Conference on Advances in Computing and Information technology (ACITY 2012), held in Chennai, India, during July 13-15, 2012, covered a number of topics in all major fields of Computer Science and Information Technology including: networking and communications, network security and applications, web and internet computing, ubiquitous computing, algorithms, bioinformatics, digital image processing and pattern recognition, artificial intelligence, soft computing and applications. Upon a strength review process, a number of high-quality, presenting not only innovative ideas but also a founded evaluation and a strong argumentation of the same, were selected and collected in the present proceedings, that is composed of three different volumes.

Dynamical Systems in Neuroscience

Author : Eugene M. Izhikevich
Publisher : MIT Press
ISBN 13 : 0262514206
Total Pages : 459 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Dynamical Systems in Neuroscience by : Eugene M. Izhikevich

Download or read book Dynamical Systems in Neuroscience written by Eugene M. Izhikevich and published by MIT Press. This book was released on 2010-01-22 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains the relationship of electrophysiology, nonlinear dynamics, and the computational properties of neurons, with each concept presented in terms of both neuroscience and mathematics and illustrated using geometrical intuition. In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear dynamics. This book offers an introduction to nonlinear dynamical systems theory for researchers and graduate students in neuroscience. It also provides an overview of neuroscience for mathematicians who want to learn the basic facts of electrophysiology. Dynamical Systems in Neuroscience presents a systematic study of the relationship of electrophysiology, nonlinear dynamics, and computational properties of neurons. It emphasizes that information processing in the brain depends not only on the electrophysiological properties of neurons but also on their dynamical properties. The book introduces dynamical systems, starting with one- and two-dimensional Hodgkin-Huxley-type models and continuing to a description of bursting systems. Each chapter proceeds from the simple to the complex, and provides sample problems at the end. The book explains all necessary mathematical concepts using geometrical intuition; it includes many figures and few equations, making it especially suitable for non-mathematicians. Each concept is presented in terms of both neuroscience and mathematics, providing a link between the two disciplines. Nonlinear dynamical systems theory is at the core of computational neuroscience research, but it is not a standard part of the graduate neuroscience curriculum—or taught by math or physics department in a way that is suitable for students of biology. This book offers neuroscience students and researchers a comprehensive account of concepts and methods increasingly used in computational neuroscience. An additional chapter on synchronization, with more advanced material, can be found at the author's website, www.izhikevich.com.