The Synchronized Dynamics of Complex Systems

The Synchronized Dynamics of Complex Systems
Author: Stefano Boccaletti
Publsiher: Elsevier
Total Pages: 258
Release: 2008-02-05
ISBN: 9780080560427
Category: Science
Language: EN, FR, DE, ES & NL

The Synchronized Dynamics of Complex Systems 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

Geometrical Dynamics of Complex Systems

Geometrical Dynamics of Complex Systems
Author: Vladimir G. Ivancevic,Tijana T. Ivancevic
Publsiher: Taylor & Francis
Total Pages: 822
Release: 2006-01-18
ISBN: 9781402045448
Category: Language Arts & Disciplines
Language: EN, FR, DE, ES & NL

Geometrical Dynamics of Complex Systems 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.

Complex Systems

Complex Systems
Author: Albert C. J. Luo,Jian-Qiao Sun
Publsiher: Springer Science & Business Media
Total Pages: 275
Release: 2011-12-01
ISBN: 3642175937
Category: Science
Language: EN, FR, DE, ES & NL

Complex Systems 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

Modelling  Estimation and Control of Networked Complex Systems
Author: Alessandro Chiuso,Luigi Fortuna,Mattia Frasca,Alessandro Rizzo,Luca Schenato,Sandro Zampieri
Publsiher: Springer
Total Pages: 238
Release: 2009-10-13
ISBN: 3642031994
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Modelling Estimation and Control of Networked Complex Systems 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.

General System Theory Perspectives in Philosophy and Approaches in Complex Systems

General System Theory  Perspectives in Philosophy and Approaches in Complex Systems
Author: Gianfranco Minati,Eliano Pessa,Ignazio Licata
Publsiher: MDPI
Total Pages: 220
Release: 2018-07-09
ISBN: 3038424404
Category: Mathematics
Language: EN, FR, DE, ES & NL

General System Theory Perspectives in Philosophy and Approaches in Complex Systems 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

Emergence of Dynamical Order
Author: Susanna C Manrubia,Alexander S Mikhailov,Damián H Zanette
Publsiher: World Scientific
Total Pages: 360
Release: 2004-04-14
ISBN: 9814482951
Category: Science
Language: EN, FR, DE, ES & NL

Emergence of Dynamical Order 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 '

Selforganization in Complex Systems The Past Present and Future of Synergetics

Selforganization in Complex Systems  The Past  Present  and Future of Synergetics
Author: Günter Wunner,Axel Pelster
Publsiher: Springer
Total Pages: 364
Release: 2015-12-26
ISBN: 3319276352
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Selforganization in Complex Systems The Past Present and Future of Synergetics Book Excerpt:

This proceedings volume contains talks and poster presentations from the International Symposium "Self-Organization in Complex Systems: The Past, Present, and Future of Synergetics", which took place at Hanse-Wissenschaftskolleg, an Institute of Advanced Studies, in Delmenhorst, Germany, during the period November 13 - 16, 2012. The Symposium was organized in honour of Hermann Haken, who celebrated his 85th birthday in 2012. With his fundamental theory of Synergetics he had laid the mathematical-physical basis for describing and analyzing self-organization processes in a diversity of fields of research. The quest for common and universal principles of self-organization in complex systems was clearly covered by the wide range of interdisciplinary topics reported during the Symposium. These extended from complexity in classical systems and quantum systems over self-organisation in neuroscience even to the physics of finance. Moreover, by combining a historical view with a present status report the Symposium conveyed an impression of the allure and potency of this branch of research as well as its applicability in the future.

Synchronization

Synchronization
Author: Stefano Boccaletti,Alexander N. Pisarchik,Charo I. del Genio,Andreas Amann
Publsiher: Cambridge University Press
Total Pages: 135
Release: 2018-03-29
ISBN: 1108651305
Category: Science
Language: EN, FR, DE, ES & NL

Synchronization Book Excerpt:

A modern introduction to synchronization phenomena, this text presents recent discoveries and the current state of research in the field, from low-dimensional systems to complex networks. The book describes some of the main mechanisms of collective behaviour in dynamical systems, including simple coupled systems, chaotic systems, and systems of infinite-dimension. After introducing the reader to the basic concepts of nonlinear dynamics, the book explores the main synchronized states of coupled systems and describes the influence of noise and the occurrence of synchronous motion in multistable and spatially-extended systems. Finally, the authors discuss the underlying principles of collective dynamics on complex networks, providing an understanding of how networked systems are able to function as a whole in order to process information, perform coordinated tasks, and respond collectively to external perturbations. The demonstrations, numerous illustrations and application examples will help advanced graduate students and researchers gain an organic and complete understanding of the subject.

Nonlinear Dynamics Materials Theory and Experiments

Nonlinear Dynamics  Materials  Theory and Experiments
Author: Mustapha Tlidi,Marcel. G. Clerc
Publsiher: Springer
Total Pages: 361
Release: 2015-11-14
ISBN: 3319248715
Category: Science
Language: EN, FR, DE, ES & NL

Nonlinear Dynamics Materials Theory and Experiments Book Excerpt:

This book presents recent advances, new ideas and novel techniques related to the field of nonlinear dynamics, including localized pattern formation, self-organization and chaos. Various natural systems ranging from nonlinear optics to mechanics, fluids and magnetic are considered. The aim of this book is to gather specialists from these various fields of research to promote cross-fertilization and transfer of knowledge between these active research areas. In particular, nonlinear optics and laser physics constitute an important part in this issue due to the potential applications for all-optical control of light, optical storage, and information processing. Other possible applications include the generation of ultra-short pulses using all-fiber cavities.

Dynamical System Synchronization

Dynamical System Synchronization
Author: Albert C. J. Luo
Publsiher: Springer Science & Business Media
Total Pages: 239
Release: 2013-03-22
ISBN: 1461450977
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Dynamical System Synchronization 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.

Frontiers in the Study of Chaotic Dynamical Systems with Open Problems

Frontiers in the Study of Chaotic Dynamical Systems with Open Problems
Author: Elhadj Zeraoulia,Julien C. Sprott
Publsiher: World Scientific
Total Pages: 258
Release: 2011
ISBN: 9814340693
Category: Science
Language: EN, FR, DE, ES & NL

Frontiers in the Study of Chaotic Dynamical Systems with Open Problems Book Excerpt:

This collection of review articles is devoted to new developments in the study of chaotic dynamical systems with some open problems and challenges. The papers, written by many of the leading experts in the field, cover both the experimental and theoretical aspects of the subject. This edited volume presents a variety of fascinating topics of current interest and problems arising in the study of both discrete and continuous time chaotic dynamical systems. Exciting new techniques stemming from the area of nonlinear dynamical systems theory are currently being developed to meet these challenges. Presenting the state-of-the-art of the more advanced studies of chaotic dynamical systems, Frontiers in the Study of Chaotic Dynamical Systems with Open Problems is devoted to setting an agenda for future research in this exciting and challenging field.

Essentials of Nonlinear Circuit Dynamics with MATLAB and Laboratory Experiments

Essentials of Nonlinear Circuit Dynamics with MATLAB   and Laboratory Experiments
Author: Arturo Buscarino,Luigi Fortuna,Mattia Frasca
Publsiher: CRC Press
Total Pages: 289
Release: 2017-04-07
ISBN: 1351849727
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Essentials of Nonlinear Circuit Dynamics with MATLAB and Laboratory Experiments Book Excerpt:

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.

Nonlinear Science and Complexity

Nonlinear Science and Complexity
Author: J.A. Tenreiro Machado,Albert C. J. Luo,Ramiro S. Barbosa,Manuel F. Silva,Lino B. Figueiredo
Publsiher: Springer Science & Business Media
Total Pages: 426
Release: 2010-11-03
ISBN: 9048198844
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Nonlinear Science and Complexity Book Excerpt:

This book contains selected papers of NSC08, the 2nd Conference on Nonlinear Science and Complexity, held 28-31 July, 2008, Porto, Portugal. It focuses on fundamental theories and principles, analytical and symbolic approaches, computational techniques in nonlinear physics and mathematics. Topics treated include • Chaotic Dynamics and Transport in Classic and Quantum Systems • Complexity and Nonlinearity in Molecular Dynamics and Nano-Science • Complexity and Fractals in Nonlinear Biological Physics and Social Systems • Lie Group Analysis and Applications in Nonlinear Science • Nonlinear Hydrodynamics and Turbulence • Bifurcation and Stability in Nonlinear Dynamic Systems • Nonlinear Oscillations and Control with Applications • Celestial Physics and Deep Space Exploration • Nonlinear Mechanics and Nonlinear Structural Dynamics • Non-smooth Systems and Hybrid Systems • Fractional dynamical systems

Self Organization in Continuous Adaptive Networks

Self Organization in Continuous Adaptive Networks
Author: Anne-Ly Do,Thilo Gross
Publsiher: River Publishers
Total Pages: 110
Release: 2012-10
ISBN: 8792329454
Category: Computers
Language: EN, FR, DE, ES & NL

Self Organization in Continuous Adaptive Networks Book Excerpt:

Self-organization in continuous adaptive networks presents new analytical approaches, which combines tools from dynamical systems theory and statistical physics with tools from graph theory to address the principles behind adaptive self-organization. it is the first class of approaches that is applicable to continous networks. The book discusses the mechanism behind three emergent phenomena that are prominently discussed in the context of biological and social sciences: synchronization, spontaneous diversification, and self-organized criticality. Self-organization in continuous adaptive networks contains extended research papers. It can serve as both a review of recent results on adaptive self-organization as well as a tutorial of new analytical methods. Self-organization in continous adaptive networks is ideal for academic staff and master/research students in complexity and network sciences, in engineering, physics and maths.

Proceedings of the European Conference on Complex Systems 2012

Proceedings of the European Conference on Complex Systems 2012
Author: Thomas Gilbert,Markus Kirkilionis,Gregoire Nicolis
Publsiher: Springer Science & Business Media
Total Pages: 1096
Release: 2013-08-15
ISBN: 331900395X
Category: Science
Language: EN, FR, DE, ES & NL

Proceedings of the European Conference on Complex Systems 2012 Book Excerpt:

The European Conference on Complex Systems, held under the patronage of the Complex Systems Society, is an annual event that has become the leading European conference devoted to complexity science. ECCS'12, its ninth edition, took place in Brussels, during the first week of September 2012. It gathered about 650 scholars representing a wide range of topics relating to complex systems research, with emphasis on interdisciplinary approaches. More specifically, the following tracks were covered: 1. Foundations of Complex Systems 2. Complexity, Information and Computation 3. Prediction, Policy and Planning, Environment 4. Biological Complexity 5. Interacting Populations, Collective Behavior 6. Social Systems, Economics and Finance This book contains a selection of the contributions presented at the conference and its satellite meetings. Its contents reflect the extent, diversity and richness of research areas in the field, both fundamental and applied.

Frontiers and Progress of Current Soft Matter Research

Frontiers and Progress of Current Soft Matter Research
Author: Xiang-Yang Liu
Publsiher: Springer Nature
Total Pages: 352
Release: 2020-12-14
ISBN: 9811592977
Category: Science
Language: EN, FR, DE, ES & NL

Frontiers and Progress of Current Soft Matter Research Book Excerpt:

This book covers some fundamental aspects and frontiers in non-equilibrium physics and soft matter research. Apart from the basic knowledge on nonlinear statistic physics, dynamics, computer simulations, and main approaches and emerging systems in soft matter research, particular attention is devoted to new conceptual flexible functional materials and the enriching areas, such as silk meso-molecular materials, molecular gels, liquid crystals, flexible electronics and new types of catalysis, etc. One of the main characteristics of this book is to start with the structure formation dynamics and the correlation between the structures and macroscopic performance. This lays down the foundation for the mesoscopic materials design and functionalization. The book is intended for upper undergraduate students, graduate students, and researchers who are interested in soft matter researches. As one of main references, the basic principles and technologies of computer simulations and experimental methods adopted in soft matter research are also explained. Illustrations and tables are included in this book to improve the readability, and examples and exercises are added to help understanding.

Delay Coupled Complex Systems

Delay Coupled Complex Systems
Author: Valentin Flunkert
Publsiher: Springer Science & Business Media
Total Pages: 180
Release: 2011-06-25
ISBN: 3642202500
Category: Science
Language: EN, FR, DE, ES & NL

Delay Coupled Complex Systems Book Excerpt:

This work addresses time-delay in complex nonlinear systems and, in particular, its applications in complex networks; its role in control theory and nonlinear optics are also investigated. Delays arise naturally in networks of coupled systems due to finite signal propagation speeds and are thus a key issue in many areas of physics, biology, medicine, and technology. Synchronization phenomena in these networks play an important role, e.g., in the context of learning, cognitive and pathological states in the brain, for secure communication with chaotic lasers or for gene regulation. The thesis includes both novel results on the control of complex dynamics by time-delayed feedback and fundamental new insights into the interplay of delay and synchronization. One of the most interesting results here is a solution to the problem of complete synchronization in general networks with large coupling delay, i.e., large distances between the nodes, by giving a universal classification of networks that has a wide range of interdisciplinary applications.

Delay Controlled Partial Synchronization in Complex Networks

Delay Controlled Partial Synchronization in Complex Networks
Author: Jakub Sawicki
Publsiher: Springer Nature
Total Pages: 166
Release: 2019-11-30
ISBN: 3030340767
Category: Science
Language: EN, FR, DE, ES & NL

Delay Controlled Partial Synchronization in Complex Networks Book Excerpt:

The focus of this thesis are synchronization phenomena in networks and their intrinsic control through time delay, which is ubiquitous in real-world systems ranging from physics and acoustics to neuroscience and engineering. We encounter synchronization everywhere and it can be either a helpful or a detrimental mechanism. In the first part, after a survey of complex nonlinear systems and networks, we show that a seemingly simple system of two organ pipes gives birth to complex bifurcation and synchronization scenarios. Going from a 2-oscillator system to a ring of oscillators, we encounter the intriguing phenomenon of chimera states which are partial synchrony patterns with coexisting domains of synchronized and desynchronized dynamics. For more than a decade scientist have tried to solve the puzzle of this spontaneous symmetry-breaking emerging in networks of identical elements. We provide an analysis of initial conditions and extend our model by the addition of time delay and fractal connectivities. In the second part, we investigate partial synchronization patterns in a neuronal network and explain dynamical asymmetry arising from the hemispheric structure of the human brain. A particular focus is on the novel scenario of partial relay synchronization in multiplex networks. Such networks allow for synchronization of the coherent domains of chimera states via a remote layer, whereas the incoherent domains remain desynchronized. The theoretical framework is demonstrated with different generic models.

Computation for Humanity

Computation for Humanity
Author: Justyna Zander,Pieter J. Mosterman
Publsiher: CRC Press
Total Pages: 520
Release: 2018-10-03
ISBN: 1351832646
Category: Computers
Language: EN, FR, DE, ES & NL

Computation for Humanity Book Excerpt:

The exponential progress and accessibility of computing has vastly increased data flows and revolutionized the practice of science, engineering, and communication. Computing plays a critical role in advancing research across almost every scientific discipline. Computation for Humanity: Information Technology to Advance Society is a guide for the creation of services, products, and tools that facilitate, support, and enhance progress of humanity toward more sustainable life. This book: Provides a deep understanding of the practical applications of computation to solve human-machine problems Delivers insight into theoretical approaches in an accessible manner Provides a comprehensive overview of computational science and engineering applications in selected disciplines Crosses the boundaries between different domains and shows how they interrelate and complement one another Focuses on grand challenges and issues that matter for the future of humanity Shows different perspectives of computational thinking, understanding, and reasoning Provides a basis for scientific discoveries and enables adopting scientific theories and engineering practices from other disciplines Takes a step back to provide a human-related abstraction level that is not ultimately seen in pure technological elaborations/collections The editors provide a collection of numerous computation-related projects that form a foundation from which to cross-pollinate between different disciplines and further extensive collaboration. They present a clear and profound understanding of computing in today's world, and provide fundamental solutions to some of the most pertinent humanity-related problems.

Complex Networks

Complex Networks
Author: Reuven Cohen,Shlomo Havlin
Publsiher: Cambridge University Press
Total Pages: 135
Release: 2010-07-08
ISBN: 1139489275
Category: Science
Language: EN, FR, DE, ES & NL

Complex Networks Book Excerpt:

Examining important results and analytical techniques, this graduate-level textbook is a step-by-step presentation of the structure and function of complex networks. Using a range of examples, from the stability of the internet to efficient methods of immunizing populations, and from epidemic spreading to how one might efficiently search for individuals, this textbook explains the theoretical methods that can be used, and the experimental and analytical results obtained in the study and research of complex networks. Giving detailed derivations of many results in complex networks theory, this is an ideal text to be used by graduate students entering the field. End-of-chapter review questions help students monitor their own understanding of the materials presented.