Dynamical Processes On Complex Networks

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Dynamical Processes On Complex Networks

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Author : Alain Barrat
language : en
Publisher: Cambridge University Press
Release Date : 2012-10-11

Dynamical Processes On Complex Networks written by Alain Barrat and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-11 with Science categories.

The availability of large data sets have allowed researchers to uncover complex properties such as large scale fluctuations and heterogeneities in many networks which have lead to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effect of complex connectivity patterns on dynamical phenomena. For example, a vast number of everyday systems, from the brain to ecosystems, power grids and the Internet, can be represented as large complex networks. This new and recent account presents a comprehensive explanation of these effects.

Dynamical Processes On Complex Networks

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Author : Alain Barrat
language : en
Publisher:
Release Date : 2008

Dynamical Processes On Complex Networks written by Alain Barrat and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Electric networks categories.

Dynamical Systems On Networks

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Author : Mason Porter
language : en
Publisher: Springer
Release Date : 2016-03-31

Dynamical Systems On Networks written by Mason Porter and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-31 with Mathematics categories.

This volume is a tutorial for the study of dynamical systems on networks. It discusses both methodology and models, including spreading models for social and biological contagions. The authors focus especially on “simple” situations that are analytically tractable, because they are insightful and provide useful springboards for the study of more complicated scenarios. This tutorial, which also includes key pointers to the literature, should be helpful for junior and senior undergraduate students, graduate students, and researchers from mathematics, physics, and engineering who seek to study dynamical systems on networks but who may not have prior experience with graph theory or networks. Mason A. Porter is Professor of Nonlinear and Complex Systems at the Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, University of Oxford, UK. He is also a member of the CABDyN Complexity Centre and a Tutorial Fellow of Somerville College. James P. Gleeson is Professor of Industrial and Applied Mathematics, and co-Director of MACSI, at the University of Limerick, Ireland.

Dynamical Processes On Complex Networks

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Author : Alain Barrat
language : en
Publisher: Cambridge University Press
Release Date : 2008-10-23

Dynamical Processes On Complex Networks written by Alain Barrat and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-23 with Science categories.

The availability of large data sets has allowed researchers to uncover complex properties such as large-scale fluctuations and heterogeneities in many networks, leading to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effect of complex connectivity patterns on dynamical phenomena. This book presents a comprehensive account of these effects. A vast number of systems, from the brain to ecosystems, power grids and the internet, can be represented as large complex networks. This book will interest graduate students and researchers in many disciplines, from physics and statistical mechanics to mathematical biology and information science. Its modular approach allows readers to readily access the sections of most interest to them, and complicated maths is avoided so the text can be easily followed by non-experts in the subject.

Synchronization In Complex Networks Of Nonlinear Dynamical Systems

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Author : Chai Wah Wu
language : en
Publisher: World Scientific
Release Date : 2007

Synchronization In Complex Networks Of Nonlinear Dynamical Systems written by Chai Wah Wu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

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 Processes In Complex Networks

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Author : Michele Catanzaro
language : en
Publisher:
Release Date : 2008

Dynamical Processes In Complex Networks written by Michele Catanzaro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.

Control Techniques For Complex Networks

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Author : Sean Meyn
language : en
Publisher: Cambridge University Press
Release Date : 2008

Control Techniques For Complex Networks written by Sean Meyn and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computers categories.

From foundations to state-of-the-art; the tools and philosophy you need to build network models.

Complex Networks

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Author : Vito Latora
language : en
Publisher: Cambridge University Press
Release Date : 2017-09-28

Complex Networks written by Vito Latora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-28 with Computers categories.

A comprehensive introduction to the theory and applications of complex network science, complete with real-world data sets and software tools.

Random Graphs And Complex Networks

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Author : Remco van der Hofstad
language : en
Publisher: Cambridge University Press
Release Date : 2017

Random Graphs And Complex Networks written by Remco van der Hofstad and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Computers categories.

This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.

Adaptive Networks

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Author : Thilo Gross
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-11

Adaptive Networks written by Thilo Gross and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-11 with Science categories.

Adding one and one makes two, usually. But sometimes things add up to more than the sum of their parts. This observation, now frequently expressed in the maxim “more is different”, is one of the characteristic features of complex systems and, in particular, complex networks. Along with their ubiquity in real world systems, the ability of networks to exhibit emergent dynamics, once they reach a certain size, has rendered them highly attractive targets for research. The resulting network hype has made the word “network” one of the most in uential buzzwords seen in almost every corner of science, from physics and biology to economy and social sciences. The theme of “more is different” appears in a different way in the present v- ume, from the viewpoint of what we call “adaptive networks.” Adaptive networks uniquely combine dynamics on a network with dynamical adaptive changes of the underlying network topology, and thus they link classes of mechanisms that were previously studied in isolation. Here adding one and one certainly does not make two, but gives rise to a number of new phenomena, including highly robust se- organization of topology and dynamics and other remarkably rich dynamical beh- iors.