The Synchronized Dynamics of Complex Systems Book

The Synchronized Dynamics of Complex Systems

  • Author : Stefano Boccaletti
  • Publisher : Elsevier
  • Release Date : 2008-02-05
  • Genre: Science
  • Pages : 258
  • ISBN 10 : 0080560423
  • Total Read : 81
  • File Size : 12,5 Mb

The Synchronized Dynamics of Complex Systems Summary:

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, imp

Geometrical Dynamics of Complex Systems Book

Geometrical Dynamics of Complex Systems

  • Author : Vladimir G. Ivancevic
  • Publisher : Taylor & Francis
  • Release Date : 2006-01-18
  • Genre: Language Arts & Disciplines
  • Pages : 856
  • ISBN 10 : 1402045441
  • Total Read : 94
  • File Size : 18,7 Mb

Geometrical Dynamics of Complex Systems Summary:

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 Book

Complex Systems

  • Author : Albert C. J. Luo
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-12-01
  • Genre: Science
  • Pages : 275
  • ISBN 10 : 9783642175930
  • Total Read : 76
  • File Size : 16,6 Mb

Complex Systems Summary:

"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 Book

Modelling Estimation and Control of Networked Complex Systems

  • Author : Alessandro Chiuso
  • Publisher : Springer
  • Release Date : 2009-10-13
  • Genre: Technology & Engineering
  • Pages : 238
  • ISBN 10 : 9783642031991
  • Total Read : 82
  • File Size : 5,6 Mb

Modelling Estimation and Control of Networked Complex Systems Summary:

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 Book

General System Theory Perspectives in Philosophy and Approaches in Complex Systems

  • Author : Gianfranco Minati
  • Publisher : MDPI
  • Release Date : 2018-07-09
  • Genre: Mathematics
  • Pages : 221
  • ISBN 10 : 9783038424406
  • Total Read : 67
  • File Size : 15,5 Mb

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

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 Book

Emergence of Dynamical Order

  • Author : Susanna C Manrubia
  • Publisher : World Scientific
  • Release Date : 2004-04-14
  • Genre: Science
  • Pages : 360
  • ISBN 10 : 9789814482950
  • Total Read : 74
  • File Size : 9,9 Mb

Emergence of Dynamical Order Summary:

' 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 Book

Selforganization in Complex Systems The Past Present and Future of Synergetics

  • Author : Günter Wunner
  • Publisher : Springer
  • Release Date : 2015-12-26
  • Genre: Technology & Engineering
  • Pages : 364
  • ISBN 10 : 9783319276359
  • Total Read : 67
  • File Size : 6,8 Mb

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

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 Book


  • Author : Stefano Boccaletti
  • Publisher : Cambridge University Press
  • Release Date : 2018-03-29
  • Genre: Mathematics
  • Pages : 267
  • ISBN 10 : 9781107056268
  • Total Read : 73
  • File Size : 10,7 Mb

Synchronization Summary:

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