The Synchronized Dynamics Of Complex Systems

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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

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.

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.

Geometrical Dynamics of Complex Systems

Author : Vladimir G. Ivancevic
Publisher : Springer Science & Business Media
ISBN 13 : 140204545X
Total Pages : 842 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Geometrical Dynamics of Complex Systems by : Vladimir G. Ivancevic

Download or read book Geometrical Dynamics of Complex Systems written by Vladimir G. Ivancevic and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometrical Dynamics of Complex Systems is a graduate?level monographic textbook. Itrepresentsacomprehensiveintroductionintorigorousgeometrical dynamicsofcomplexsystemsofvariousnatures. By?complexsystems?,inthis book are meant high?dimensional nonlinear systems, which can be (but not necessarily are) adaptive. This monograph proposes a uni?ed geometrical - proachtodynamicsofcomplexsystemsofvariouskinds:engineering,physical, biophysical, psychophysical, sociophysical, econophysical, etc. As their names suggest, all these multi?input multi?output (MIMO) systems have something in common: the underlying physics. However, instead of dealing with the pop- 1 ular ?soft complexity philosophy?, we rather propose a rigorous geometrical and topological approach. We believe that our rigorous approach has much greater predictive power than the soft one. We argue that science and te- nology is all about prediction and control. Observation, understanding and explanation are important in education at undergraduate level, but after that it should be all prediction and control. The main objective of this book is to show that high?dimensional nonlinear systems and processes of ?real life? can be modelled and analyzed using rigorous mathematics, which enables their complete predictability and controllability, as if they were linear systems. It is well?known that linear systems, which are completely predictable and controllable by de?nition ? live only in Euclidean spaces (of various - mensions). They are as simple as possible, mathematically elegant and fully elaborated from either scienti?c or engineering side. However, in nature, no- ing is linear. In reality, everything has a certain degree of nonlinearity, which means: unpredictability, with subsequent uncontrollability.

具有分数维、时滞和同步的复杂系统

Author : Albert C. J. Luo
Publisher :
ISBN 13 : 9787040297102
Total Pages : 370 pages
Book Rating : 4.2/5 (971 download)

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Book Synopsis 具有分数维、时滞和同步的复杂系统 by : Albert C. J. Luo

Download or read book 具有分数维、时滞和同步的复杂系统 written by Albert C. J. Luo and published by . This book was released on 2011 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Dynamics Of Complex Systems

Author : Yaneer Bar-yam
Publisher : CRC Press
ISBN 13 : 0429697589
Total Pages : 864 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Dynamics Of Complex Systems by : Yaneer Bar-yam

Download or read book Dynamics Of Complex Systems written by Yaneer Bar-yam and published by CRC Press. This book was released on 2019-03-04 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to develop models and modeling techniques that are useful when applied to all complex systems. It adopts both analytic tools and computer simulation. The book is intended for students and researchers with a variety of backgrounds.

Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives

Author : Mark Edelman
Publisher : Springer
ISBN 13 : 9783319885506
Total Pages : 315 pages
Book Rating : 4.8/5 (855 download)

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Book Synopsis Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives by : Mark Edelman

Download or read book Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives written by Mark Edelman and published by Springer. This book was released on 2018-05-27 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics. The fifteen chapters – written by leading scientists working in the areas of nonlinear, chaotic, and fractional dynamics, as well as complex systems and networks – offer an extensive overview of cutting-edge research on a range of topics, including fundamental and applied research. These include but are not limited to, aspects of synchronization in complex dynamical systems, universality features in systems with specific fractional dynamics, and chaotic scattering. As such, the book provides an excellent and timely snapshot of the current state of research, blending the insights and experiences of many prominent researchers.

Complex Systems Dynamics (volume Ii)

Author : Gerard Weisbuch
Publisher : CRC Press
ISBN 13 : 0429697554
Total Pages : 207 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Complex Systems Dynamics (volume Ii) by : Gerard Weisbuch

Download or read book Complex Systems Dynamics (volume Ii) written by Gerard Weisbuch and published by CRC Press. This book was released on 2019-03-01 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible introduction to complex systems viewed as networks of automata, using primarily examples drawn from the physics of disordered systems, neural networks, and the origins of life. It is helpful for readers with a university education in science or engineering.

Complex and Adaptive Dynamical Systems

Author : Claudius Gros
Publisher : Springer Science & Business Media
ISBN 13 : 3642047068
Total Pages : 335 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Complex and Adaptive Dynamical Systems by : Claudius Gros

Download or read book Complex and Adaptive Dynamical Systems written by Claudius Gros and published by Springer Science & Business Media. This book was released on 2010-09-24 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover a wide range of findings in quantitative complex system science that help us make sense of our complex world. Written at an introductory level, the book provides an accessible entry into this fascinating and vitally important subject.

Complex Systems

Author : Albert C. J. Luo
Publisher : Springer Science & Business Media
ISBN 13 : 3642175937
Total Pages : 381 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Complex Systems by : Albert C. J. Luo

Download or read book Complex Systems written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2011-12-01 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Complex Systems: Fractionality, Time-delay and Synchronization" covers the most recent developments and advances in the theory and application of complex systems in these areas. Each chapter was written by scientists highly active in the field of complex systems. The book discusses a new treatise on fractional dynamics and control, as well as the new methods for differential delay systems and control. Lastly, a theoretical framework for the complexity and synchronization of complex system is presented. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. It can also serve as a reference book for graduate students in physics, applied mathematics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Jian-Qiao Sun is a Professor at the University of California, Merced, USA.

Modelling, Estimation and Control of Networked Complex Systems

Author : Alessandro Chiuso
Publisher : Springer
ISBN 13 : 3642031994
Total Pages : 246 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Modelling, Estimation and Control of Networked Complex Systems by : Alessandro Chiuso

Download or read book Modelling, Estimation and Control of Networked Complex Systems written by Alessandro Chiuso and published by Springer. This book was released on 2009-10-13 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paradigm of complexity is pervading both science and engineering, le- ing to the emergence of novel approaches oriented at the development of a systemic view of the phenomena under study; the de?nition of powerful tools for modelling, estimation, and control; and the cross-fertilization of di?erent disciplines and approaches. One of the most promising paradigms to cope with complexity is that of networked systems. Complex, dynamical networks are powerful tools to model, estimate, and control many interesting phenomena, like agent coordination, synch- nization, social and economics events, networks of critical infrastructures, resourcesallocation,informationprocessing,controlovercommunicationn- works, etc. Advances in this ?eld are highlighting approaches that are more and more oftenbasedondynamicalandtime-varyingnetworks,i.e.networksconsisting of dynamical nodes with links that can change over time. Moreover, recent technological advances in wireless communication and decreasing cost and size of electronic devices are promoting the appearance of large inexpensive interconnected systems, each with computational, sensing and mobile ca- bilities. This is fostering the development of many engineering applications, which exploit the availability of these systems of systems to monitor and control very large-scale phenomena with ?ne resolution.

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.

Foundations of Complex Systems

Author :
Publisher :
ISBN 13 : 9814476943
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Foundations of Complex Systems by :

Download or read book Foundations of Complex Systems written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

General System Theory: Perspectives in Philosophy and Approaches in Complex Systems

Author : Gianfranco Minati
Publisher : MDPI
ISBN 13 : 3038424404
Total Pages : 221 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis General System Theory: Perspectives in Philosophy and Approaches in Complex Systems by : Gianfranco Minati

Download or read book General System Theory: Perspectives in Philosophy and Approaches in Complex Systems written by Gianfranco Minati and published by MDPI. This book was released on 2018-07-09 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Second Generation General System Theory: Perspectives in Philosophy and Approaches in Complex Systems" that was published in Systems

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 '

Geometrical Dynamics of Complex Systems

Author : Vladimir G. Ivancevic
Publisher : Taylor & Francis
ISBN 13 : 9781402045448
Total Pages : 856 pages
Book Rating : 4.0/5 (454 download)

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Book Synopsis Geometrical Dynamics of Complex Systems by : Vladimir G. Ivancevic

Download or read book Geometrical Dynamics of Complex Systems written by Vladimir G. Ivancevic and published by Taylor & Francis. This book was released on 2006-01-18 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometrical Dynamics of Complex Systems is a graduate-level monographic textbook. Itrepresentsacomprehensiveintroductionintorigorousgeometrical dynamicsofcomplexsystemsofvariousnatures. By'complexsystems', inthis book are meant high-dimensional nonlinear systems, which can be (but not necessarily are) adaptive. This monograph proposes a uni?ed geometrical - proachtodynamicsofcomplexsystemsofvariouskinds: engineering, physical, biophysical, psychophysical, sociophysical, econophysical, etc. As their names suggest, all these multi-input multi-output (MIMO) systems have something in common: the underlying physics. However, instead of dealing with the pop- 1 ular 'soft complexity philosophy', we rather propose a rigorous geometrical and topological approach. We believe that our rigorous approach has much greater predictive power than the soft one. We argue that science and te- nology is all about prediction and control. Observation, understanding and explanation are important in education at undergraduate level, but after that it should be all prediction and control. The main objective of this book is to show that high-dimensional nonlinear systems and processes of 'real life' can be modelled and analyzed using rigorous mathematics, which enables their complete predictability and controllability, as if they were linear systems. It is well-known that linear systems, which are completely predictable and controllable by de?nition - live only in Euclidean spaces (of various - mensions). They are as simple as possible, mathematically elegant and fully elaborated from either scienti?c or engineering side. However, in nature, no- ing is linear. In reality, everything has a certain degree of nonlinearity, which means: unpredictability, with subsequent uncontrollability.