Networks Topology And Dynamics

Author : Ahmad K. Naimzada,Silvana Stefani,Anna Torriero
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 51,9 Mb
Release : 2008-11-14
Category : Business & Economics
ISBN : 9783540684091

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Networks, Topology and Dynamics by Ahmad K. Naimzada,Silvana Stefani,Anna Torriero Pdf

There is convergent consensus among scientists that many social, economic and ?nancial phenomena can be described by a network of agents and their inter- tions. Surprisingly, even though the application ?elds are quite different, those n- works often show a common behaviour. Thus, their topological properties can give useful insights on how the network is structured, which are the most “important” nodes/agents, how the network reacts to new arrivals. Moreover the network, once included into a dynamic context, helps to model many phenomena. Among the t- ics in which topology and dynamics are the essential tools, we will focus on the diffusion of technologies and fads, the rise of industrial districts, the evolution of ?nancial markets, cooperation and competition, information ?ows, centrality and prestige. The volume, including recent contributions to the ?eld of network modelling, is based on the communications presented at NET 2006 (Verbania, Italy) and NET 2007 (Urbino, Italy); offers a wide range of recent advances, both theoretical and methodological, that will interest academics as well as practitioners. Theory and applications are nicely integrated: theoretical papers deal with graph theory, game theory, coalitions, dynamics, consumer behavior, segregation models and new contributions to the above mentioned area. The applications cover a wide range: airline transportation, ?nancial markets, work team organization, labour and credit market.

Author : Thilo Gross,Hiroki Sayama
Publisher : Springer Science & Business Media
Page : 340 pages
File Size : 43,5 Mb
Release : 2009-08-11
Category : Science
ISBN : 9783642012846

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Adaptive Networks by Thilo Gross,Hiroki Sayama Pdf

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.

Author : Ginestra Bianconi
Publisher : Cambridge University Press
Page : 149 pages
File Size : 50,8 Mb
Release : 2021-12-23
Category : Mathematics
ISBN : 9781108726733

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Higher Order Networks: An Introduction to Simplicial Complexes by Ginestra Bianconi Pdf

This Element presents one of the most recent developments in network science in a highly accessible style. This Element will be of interest to interdisciplinary scientists working in network science, in addition to mathematicians working in discrete topology and geometry and physicists working in quantum gravity.

Author : Guanghui Wen,Wenwu Yu,Yuezu Lv,Peijun Wang
Publisher : CRC Press
Page : 304 pages
File Size : 49,8 Mb
Release : 2021-07-02
Category : Technology & Engineering
ISBN : 9781000400182

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Cooperative Control of Complex Network Systems with Dynamic Topologies by Guanghui Wen,Wenwu Yu,Yuezu Lv,Peijun Wang Pdf

Far from being separate entities, many social and engineering systems can be considered as complex network systems (CNSs) associated with closely linked interactions with neighbouring entities such as the Internet and power grids. Roughly speaking, a CNS refers to a networking system consisting of lots of interactional individuals, exhibiting fascinating collective behaviour that cannot always be anticipated from the inherent properties of the individuals themselves. As one of the most fundamental examples of cooperative behaviour, consensus within CNSs (or the synchronization of complex networks) has gained considerable attention from various fields of research, including systems science, control theory and electrical engineering. This book mainly studies consensus of CNSs with dynamics topologies - unlike most existing books that have focused on consensus control and analysis for CNSs under a fixed topology. As most practical networks have limited communication ability, switching graphs can be used to characterize real-world communication topologies, leading to a wider range of practical applications. This book provides some novel multiple Lyapunov functions (MLFs), good candidates for analysing the consensus of CNSs with directed switching topologies, while each chapter provides detailed theoretical analyses according to the stability theory of switched systems. Moreover, numerical simulations are provided to validate the theoretical results. Both professional researchers and laypeople will benefit from this book.

Author : Rolf Kötter,Marcus Kaiser,Claus C. Hilgetag
Publisher : Frontiers E-books
Page : 97 pages
File Size : 40,7 Mb
Release : 2012-01-01
Category : Electronic
ISBN : 9782889190102

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Hierarchy and dynamics in neural networks by Rolf Kötter,Marcus Kaiser,Claus C. Hilgetag Pdf

Hierarchy is a central feature in the organisation of complex biological systems and particularly the structure and function of neural networks. While other aspects of brain connectivity such as regionalisation, modularity or motif composition have been discussed elsewhere, no detailed analysis has been presented so far on the role of hierarchy and its connection to brain dynamics. Recent discussions among many of our colleagues have shown an increasing interest in hierarchy (of spatial, temporal and dynamic features), and this is an emerging key question in neuroscience as well as generally in the field of network science, due to its links with concepts of control, efficiency and development across scales (e.g. Hilgetag et al. Science, 1996; Ravasz et al. Science, 2002; Bassett et al. PNAS, 2006; Mueller-Linow et al. PLoS Comp. Biol., in press). The proposed Research Topic will address recent findings from a theoretical as well as experimental perspective including contributions under the following four headings: 1) Topology: Detecting and characterizing network hierarchy; 2) Experiments: Neural dynamics across hierarchical scales; 3) Dynamics: Activity spread, oscillations, and synchronization in hierarchical networks; 4) Dynamics: Stable functioning and information processing in hierarchical networks.

Author : Chai Wah Wu
Publisher : World Scientific
Page : 168 pages
File Size : 49,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812709745

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Synchronization in Complex Networks of Nonlinear Dynamical Systems by Chai Wah Wu Pdf

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 : Guanrong Chen,Xiaofan Wang,Xiang Li
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 51,7 Mb
Release : 2015-06-29
Category : Computers
ISBN : 9781118718117

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Fundamentals of Complex Networks by Guanrong Chen,Xiaofan Wang,Xiang Li Pdf

Complex networks such as the Internet, WWW, transportation networks, power grids, biological neural networks, and scientific cooperation networks of all kinds provide challenges for future technological development. • The first systematic presentation of dynamical evolving networks, with many up-to-date applications and homework projects to enhance study • The authors are all very active and well-known in the rapidly evolving field of complex networks • Complex networks are becoming an increasingly important area of research • Presented in a logical, constructive style, from basic through to complex, examining algorithms, through to construct networks and research challenges of the future

Author : Mengbin Ye
Publisher : Springer
Page : 209 pages
File Size : 52,6 Mb
Release : 2019-02-19
Category : Technology & Engineering
ISBN : 9783030106065

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Opinion Dynamics and the Evolution of Social Power in Social Networks by Mengbin Ye Pdf

This book uses rigorous mathematical analysis to advance opinion dynamics models for social networks in three major directions. First, a novel model is proposed to capture how a discrepancy between an individual’s private and expressed opinions can develop due to social pressures that arise in group situations or through extremists deliberately shaping public opinion. Detailed theoretical analysis of the final opinion distribution is followed by use of the model to study Asch’s seminal experiments on conformity, and the phenomenon of pluralistic ignorance. Second, the DeGroot-Friedkin model for evolution of an individual’s social power (self-confidence) is developed in a number of directions. The key result establishes that an individual’s initial social power is forgotten exponentially fast, even when the network changes over time; eventually, an individual’s social power depends only on the (changing) network structure. Last, a model for the simultaneous discussion of multiple logically interdependent topics is proposed. To ensure that a consensus across the opinions of all individuals is achieved, it turns out that the interpersonal interactions must be weaker than an individual’s introspective cognitive process for establishing logical consistency among the topics. Otherwise, the individual may experience cognitive overload and the opinion system becomes unstable. Conclusions of interest to control engineers, social scientists, and researchers from other relevant disciplines are discussed throughout the thesis with support from both social science and control literature.

Author : Robert L. Devaney,Kit C. Chan,P.B. Vinod Kumar
Publisher : Springer Nature
Page : 278 pages
File Size : 49,8 Mb
Release : 2021-09-23
Category : Mathematics
ISBN : 9789811601743

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Topological Dynamics and Topological Data Analysis by Robert L. Devaney,Kit C. Chan,P.B. Vinod Kumar Pdf

This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held in Kochi, India, from 9–11 December 2018. The book discusses topics on topological dynamical systems and topological data analysis. Topics are ranging from general topology, algebraic topology, differential topology, fuzzy topology, topological dynamical systems, topological groups, linear dynamics, dynamics of operator network topology, iterated function systems and applications of topology. All contributing authors are eminent academicians, scientists, researchers and scholars in their respective fields, hailing from around the world. The book is a valuable resource for researchers, scientists and engineers from both academia and industry.

Author : Akira Namatame,Shu-Heng Chen
Publisher : Oxford University Press
Page : 341 pages
File Size : 41,6 Mb
Release : 2016
Category : Computers
ISBN : 9780198708285

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Agent-based Modeling and Network Dynamics by Akira Namatame,Shu-Heng Chen Pdf

Annotation This book offers a unique treatment of agent-based models. Through the introduction of the two families of models, namely, network-based agent-based models and agent-based models of social networks, it reviews important contributions in a chronological order providing an overall picture of the research stream.

Author : Das, Sanjoy,Caragea, Doina,Welch, Stephen,Hsu, William H.
Publisher : IGI Global
Page : 740 pages
File Size : 40,6 Mb
Release : 2009-10-31
Category : Computers
ISBN : 9781605666860

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Handbook of Research on Computational Methodologies in Gene Regulatory Networks by Das, Sanjoy,Caragea, Doina,Welch, Stephen,Hsu, William H. Pdf

"This book focuses on methods widely used in modeling gene networks including structure discovery, learning, and optimization"--Provided by publisher.

Author : Petar Georgiev Tomov
Publisher : Unknown
Page : 0 pages
File Size : 40,6 Mb
Release : 2016
Category : Electronic
ISBN : OCLC:953101228

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Interplay of Dynamics and Network Topology in Systems of Excitable Elements by Petar Georgiev Tomov Pdf

Author : Niloy Ganguly,Andreas Deutsch,Animesh Mukherjee
Publisher : Springer Science & Business Media
Page : 310 pages
File Size : 48,5 Mb
Release : 2009-04-14
Category : Computers
ISBN : 9780817647506

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Dynamics On and Of Complex Networks by Niloy Ganguly,Andreas Deutsch,Animesh Mukherjee Pdf

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 : Petter Holme,Jari Saramäki
Publisher : Springer
Page : 352 pages
File Size : 45,7 Mb
Release : 2013-05-23
Category : Science
ISBN : 9783642364617

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Temporal Networks by Petter Holme,Jari Saramäki Pdf

The concept of temporal networks is an extension of complex networks as a modeling framework to include information on when interactions between nodes happen. Many studies of the last decade examine how the static network structure affect dynamic systems on the network. In this traditional approach the temporal aspects are pre-encoded in the dynamic system model. Temporal-network methods, on the other hand, lift the temporal information from the level of system dynamics to the mathematical representation of the contact network itself. This framework becomes particularly useful for cases where there is a lot of structure and heterogeneity both in the timings of interaction events and the network topology. The advantage compared to common static network approaches is the ability to design more accurate models in order to explain and predict large-scale dynamic phenomena (such as, e.g., epidemic outbreaks and other spreading phenomena). On the other hand, temporal network methods are mathematically and conceptually more challenging. This book is intended as a first introduction and state-of-the art overview of this rapidly emerging field.

Author : Vasileios Karyotis,Eleni Stai,Symeon Papavassiliou
Publisher : CRC Press
Page : 297 pages
File Size : 54,6 Mb
Release : 2013-10-14
Category : Computers
ISBN : 9781466518414

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Evolutionary Dynamics of Complex Communications Networks by Vasileios Karyotis,Eleni Stai,Symeon Papavassiliou Pdf

Until recently, most network design techniques employed a bottom-up approach with lower protocol layer mechanisms affecting the development of higher ones. This approach, however, has not yielded fascinating results in the case of wireless distributed networks. Addressing the emerging aspects of modern network analysis and design, Evolutionary Dyna