Dynamical Processes On Complex Networks

Author : Alain Barrat
Publisher : Cambridge University Press
ISBN 13 : 9781107626256
Total Pages : 361 pages
Book Rating : 4.50/5 ( download)

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Download or read book Dynamical Processes on Complex Networks written by Alain Barrat and published by Cambridge University Press. This book was released on 2012-10-11 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Alain Barrat
Publisher :
ISBN 13 : 9780511457579
Total Pages : 367 pages
Book Rating : 4.7X/5 ( download)

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Download or read book Dynamical Processes on Complex Networks written by Alain Barrat and published by . This book was released on 2014-05-14 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth 2008 account on complex connectivity patterns for graduates and researchers in statistical mechanics, mathematical biology and information science.

Author : Alain Barrat
Publisher :
ISBN 13 : 9780511456268
Total Pages : 347 pages
Book Rating : 4.63/5 ( download)

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Download or read book Dynamical Processes on Complex Networks written by Alain Barrat and published by . This book was released on 2008 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Alain Barrat
Publisher : Cambridge University Press
ISBN 13 : 1107377420
Total Pages : 586 pages
Book Rating : 4.24/5 ( download)

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Download or read book Dynamical Processes on Complex Networks written by Alain Barrat and published by Cambridge University Press. This book was released on 2008-10-23 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Niloy Ganguly
Publisher : Springer Science & Business Media
ISBN 13 : 0817647503
Total Pages : 310 pages
Book Rating : 4.06/5 ( download)

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Download or read book Dynamics On and Of Complex Networks written by Niloy Ganguly and published by Springer Science & Business Media. This book was released on 2009-04-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book systematically explores the statistical dynamics on and of complex networks having relevance across a large number of scientific disciplines. The theories related to complex networks are increasingly being used by researchers for their usefulness in harnessing the most difficult problems of a particular discipline. The book is a collection of surveys and cutting-edge research contributions exploring the interdisciplinary relationship of dynamics on and of complex networks. Topics covered include complex networks found in nature—genetic pathways, ecological networks, linguistic systems, and social systems—as well as man-made systems such as the World Wide Web and peer-to-peer networks. The contributed chapters in this volume are intended to promote cross-fertilization in several research areas, and will be valuable to newcomers in the field, experienced researchers, practitioners, and graduate students interested in systems exhibiting an underlying complex network structure in disciplines such as computer science, biology, statistical physics, nonlinear dynamics, linguistics, and the social sciences.

Author : Renaud Lambiotte
Publisher : Cambridge University Press
ISBN 13 : 1108808654
Total Pages : 102 pages
Book Rating : 4.51/5 ( download)

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Download or read book Modularity and Dynamics on Complex Networks written by Renaud Lambiotte and published by Cambridge University Press. This book was released on 2022-02-03 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex networks are typically not homogeneous, as they tend to display an array of structures at different scales. A feature that has attracted a lot of research is their modular organisation, i.e., networks may often be considered as being composed of certain building blocks, or modules. In this Element, the authors discuss a number of ways in which this idea of modularity can be conceptualised, focusing specifically on the interplay between modular network structure and dynamics taking place on a network. They discuss, in particular, how modular structure and symmetries may impact on network dynamics and, vice versa, how observations of such dynamics may be used to infer the modular structure. They also revisit several other notions of modularity that have been proposed for complex networks and show how these can be related to and interpreted from the point of view of dynamical processes on networks.

Author : Chai Wah Wu
Publisher : World Scientific
ISBN 13 : 9812709746
Total Pages : 168 pages
Book Rating : 4.45/5 ( download)

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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.

Author : Mason Porter
Publisher : Springer
ISBN 13 : 3319266411
Total Pages : 80 pages
Book Rating : 4.11/5 ( download)

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Download or read book Dynamical Systems on Networks written by Mason Porter and published by Springer. This book was released on 2016-03-31 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Arne T. Skjeltorp
Publisher : Springer Science & Business Media
ISBN 13 : 1402050305
Total Pages : 222 pages
Book Rating : 4.05/5 ( download)

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Download or read book Dynamics of Complex Interconnected Systems: Networks and Bioprocesses written by Arne T. Skjeltorp and published by Springer Science & Business Media. This book was released on 2006-12-22 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reviews the synergism between various fields of research that are confronted with networks, such as genetic and metabolic networks, social networks, the Internet and ecological systems. In many cases, the interacting networks manifest so-called emergent properties that are not possessed by any of the individual components. Knowledge gained from the study of complex non-biological systems can be applied to the intricate braided relationships that govern cellular functions.

Author : Vito Latora
Publisher : Cambridge University Press
ISBN 13 : 1107103185
Total Pages : 585 pages
Book Rating : 4.84/5 ( download)

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Download or read book Complex Networks written by Vito Latora and published by Cambridge University Press. This book was released on 2017-09-28 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to the theory and applications of complex network science, complete with real-world data sets and software tools.