Symmetry In Complex Network Systems

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Symmetry in Complex Network Systems

Author : Visarath In
Publisher : Springer
ISBN 13 : 366255545X
Total Pages : 415 pages
Book Rating : 4.6/5 (625 download)

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Book Synopsis Symmetry in Complex Network Systems by : Visarath In

Download or read book Symmetry in Complex Network Systems written by Visarath In and published by Springer. This book was released on 2017-09-05 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges the current gap between the theory of symmetry-based dynamics and its application to model and analyze complex systems. As an alternative approach, the authors use the symmetry of the system directly to formulate the appropriate models, and also to analyze the dynamics. Complex systems with symmetry arise in a wide variety of fields, including communication networks, molecular dynamics, manufacturing businesses, ecosystems, underwater vehicle dynamics, celestial and spacecraft dynamics and continuum mechanics. A general approach for their analysis has been to derive a detailed model of their individual parts, connect the parts and note that the system contains some sort of symmetry, then attempt to exploit this symmetry in order to simplify numerical computations. This approach can result in highly complicated models that are difficult to analyze even numerically. The alternative approach, while nonstandard, is not entirely new among the mathematics community. However, there is much less familiarity with the techniques of symmetry-breaking bifurcation, as they apply to the engineering, design and fabrication, of complex systems, in particular, nonlinear sensor devices with special emphasis on the conceptualization and development of new technologies of magnetic sensors such as fluxgate magnetometers and SQUID (Superconducting Quantum Interference Devices), E-- (electric-field) sensors, and communication and navigation systems that require multiple frequencies of operation, such as radar and antenna devices as well as gyroscopic systems.

Symmetry in Complex Systems

Author : J. A. Tenreiro Machado
Publisher : MDPI
ISBN 13 : 303936894X
Total Pages : 118 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Symmetry in Complex Systems by : J. A. Tenreiro Machado

Download or read book Symmetry in Complex Systems written by J. A. Tenreiro Machado and published by MDPI. This book was released on 2021-01-21 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex systems with symmetry arise in many fields, at various length scales, including financial markets, social, transportation, telecommunication and power grid networks, world and country economies, ecosystems, molecular dynamics, immunology, living organisms, computational systems, and celestial and continuum mechanics. The emergence of new orders and structures in complex systems means symmetry breaking and transitions from unstable to stable states. Modeling complexity has attracted many researchers from different areas, dealing both with theoretical concepts and practical applications. This Special Issue fills the gap between the theory of symmetry-based dynamics and its application to model and analyze complex systems.

Symmetry Measures on Complex Networks

Author : Angel Garrido
Publisher : MDPI
ISBN 13 : 3038424986
Total Pages : 509 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis Symmetry Measures on Complex Networks by : Angel Garrido

Download or read book Symmetry Measures on Complex Networks written by Angel Garrido and published by MDPI. This book was released on 2018-07-09 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Symmetry Measures on Complex Networks" that was published in Symmetry

Complex Networks IV

Author : Gourab Ghoshal
Publisher : Springer
ISBN 13 : 3642368441
Total Pages : 198 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Complex Networks IV by : Gourab Ghoshal

Download or read book Complex Networks IV written by Gourab Ghoshal and published by Springer. This book was released on 2013-02-19 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: A network is a mathematical object consisting of a set of points (called vertices or nodes) that are connected to each other in some fashion by lines (called edges). Turns out this simple description corresponds to a bewildering array of systems in the real world, ranging from technological ones such as the Internet and World Wide Web, biological networks such as that of connections of the nervous systems or blood vessels, food webs, protein interactions, infrastructural systems such as networks of roads, airports or the power-grid, to patterns of social acquaintance such as friendship, network of Hollywood actors, connections between business houses and many more. Recent years have witnessed a substantial amount of interest within the scientific community in the properties of these networks. The emergence of the internet in particular, coupled with the widespread availability of inexpensive computing resources has facilitated studies ranging from large scale empirical analysis of networks in the real world, to the development of theoretical models and tools to explore the various properties of these systems. The study of networks is broadly interdisciplinary and central developments have occurred in many fields, including mathematics, physics, computer and information sciences, biology, and the social sciences. This book brings together a collection of cutting-edge research in the field from a diverse array of researchers ranging from physicists to social scientists, and presents them in a coherent fashion, highlighting the strong interconnections between the different areas. Topics included are social networks and social media, opinion and innovation diffusion, syncronization, transportation networks and human mobility, as well as theory, modeling and metrics of Complex Networks.

Machine Learning in Natural Complex Systems

Author : Andre Gruning
Publisher : Frontiers Media SA
ISBN 13 : 2889763692
Total Pages : 171 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis Machine Learning in Natural Complex Systems by : Andre Gruning

Download or read book Machine Learning in Natural Complex Systems written by Andre Gruning and published by Frontiers Media SA. This book was released on 2023-04-11 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetry Measures on Complex Networks

Author : Angel Garrido (Ed.)
Publisher :
ISBN 13 :
Total Pages : 510 pages
Book Rating : 4.:/5 (15 download)

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Book Synopsis Symmetry Measures on Complex Networks by : Angel Garrido (Ed.)

Download or read book Symmetry Measures on Complex Networks written by Angel Garrido (Ed.) and published by . This book was released on 2017 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is found everywhere, to a greater or lesser degree. It is essential in all sciences and also as the basic substrate in all arts. The same happens with Complex Networks, which are the majority of all those that interest for advanced knowledge, that is, for research. That is why these two themes have been unified here, whose intersection we are dealing with: in its first part, of fundamentals, and in its second part of applications, which are multiple in the world today.

Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators

Author : Rico Berner
Publisher : Springer Nature
ISBN 13 : 303074938X
Total Pages : 210 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators by : Rico Berner

Download or read book Patterns of Synchrony in Complex Networks of Adaptively Coupled Oscillators written by Rico Berner and published by Springer Nature. This book was released on 2021-05-31 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this thesis is the interplay of synchrony and adaptivity in complex networks. Synchronization is a ubiquitous phenomenon observed in different contexts in physics, chemistry, biology, neuroscience, medicine, socioeconomic systems, and engineering. Most prominently, synchronization takes place in the brain, where it is associated with cognitive capacities like learning and memory, but is also a characteristic of neurological diseases like Parkinson and epilepsy. Adaptivity is common in many networks in nature and technology, where the connectivity changes in time, i.e., the strength of the coupling is continuously adjusted depending upon the dynamic state of the system, for instance synaptic neuronal plasticity in the brain. This research contributes to a fundamental understanding of various synchronization patterns, including hierarchical multifrequency clusters, chimeras and other partial synchronization states. After a concise survey of the fundamentals of adaptive and complex dynamical networks and synaptic plasticity, in the first part of the thesis the existence and stability of cluster synchronization in globally coupled adaptive networks is discussed for simple paradigmatic phase oscillators as well as for a more realistic neuronal oscillator model with spike-timing dependent plasticity. In the second part of the thesis the interplay of adaptivity and connectivity is investigated for more complex network structures like nonlocally coupled rings, random networks, and multilayer systems. Besides presenting a plethora of novel, sometimes intriguing patterns of synchrony, the thesis makes a number of pioneering methodological advances, where rigorous mathematical proofs are given in the Appendices. These results are of interest not only from a fundamental point of view, but also with respect to challenging applications in neuroscience and technological systems.

Symmetry in Complex Systems

Author : J. A. Tenreiro Machado
Publisher :
ISBN 13 : 9783039368952
Total Pages : 118 pages
Book Rating : 4.3/5 (689 download)

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Book Synopsis Symmetry in Complex Systems by : J. A. Tenreiro Machado

Download or read book Symmetry in Complex Systems written by J. A. Tenreiro Machado and published by . This book was released on 2020 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex systems with symmetry arise in many fields, at various length scales, including financial markets, social, transportation, telecommunication and power grid networks, world and country economies, ecosystems, molecular dynamics, immunology, living organisms, computational systems, and celestial and continuum mechanics. The emergence of new orders and structures in complex systems means symmetry breaking and transitions from unstable to stable states. Modeling complexity has attracted many researchers from different areas, dealing both with theoretical concepts and practical applications. This Special Issue fills the gap between the theory of symmetry-based dynamics and its application to model and analyze complex systems.

Modularity and Dynamics on Complex Networks

Author : Renaud Lambiotte
Publisher : Cambridge University Press
ISBN 13 : 1108808654
Total Pages : 102 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Modularity and Dynamics on Complex Networks by : Renaud Lambiotte

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.

High Performance Networking, Computing, and Communication Systems

Author : Yanwen Wu
Publisher : Springer
ISBN 13 : 3642250025
Total Pages : 630 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis High Performance Networking, Computing, and Communication Systems by : Yanwen Wu

Download or read book High Performance Networking, Computing, and Communication Systems written by Yanwen Wu and published by Springer. This book was released on 2011-10-22 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed post-proceedings of the Second International Conference on High Performance Networking, Computing, and Communication systems, ICHCC 2011, held in Singapore in May 2011. The conference was held together with the Second International Conference on Theoretical and Mathematical Foundations of Computer Science, ICTMF 2011, which proceedings are published in CCIS 164. The 84 revised selected papers presented were carefully reviewed and selected for inclusion in the book. The topics covered range from computational science, engineering and technology to digital signal processing, and computational biology to game theory, and other related topices.

Cooperative Control of Complex Network Systems with Dynamic Topologies

Author : Guanghui Wen
Publisher : CRC Press
ISBN 13 : 1000400182
Total Pages : 305 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Cooperative Control of Complex Network Systems with Dynamic Topologies by : Guanghui Wen

Download or read book Cooperative Control of Complex Network Systems with Dynamic Topologies written by Guanghui Wen and published by CRC Press. This book was released on 2021-07-01 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Symmetry in Graph Theory

Author : Jose M. Rodriguez
Publisher : MDPI
ISBN 13 : 303897658X
Total Pages : 340 pages
Book Rating : 4.0/5 (389 download)

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Book Synopsis Symmetry in Graph Theory by : Jose M. Rodriguez

Download or read book Symmetry in Graph Theory written by Jose M. Rodriguez and published by MDPI. This book was released on 2019-03-14 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the successful invited submissions to a Special Issue of Symmetry on the subject of “Graph Theory”. Although symmetry has always played an important role in Graph Theory, in recent years, this role has increased significantly in several branches of this field, including but not limited to Gromov hyperbolic graphs, the metric dimension of graphs, domination theory, and topological indices. This Special Issue includes contributions addressing new results on these topics, both from a theoretical and an applied point of view.

Chimera States in Complex Networks

Author : Eckehard Schöll
Publisher : Frontiers Media SA
ISBN 13 : 288963311X
Total Pages : 148 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Chimera States in Complex Networks by : Eckehard Schöll

Download or read book Chimera States in Complex Networks written by Eckehard Schöll and published by Frontiers Media SA. This book was released on 2020-01-03 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Networks & Their Applications IX

Author : Rosa M. Benito
Publisher : Springer Nature
ISBN 13 : 3030653471
Total Pages : 702 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Complex Networks & Their Applications IX by : Rosa M. Benito

Download or read book Complex Networks & Their Applications IX written by Rosa M. Benito and published by Springer Nature. This book was released on 2020-12-19 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the IX International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2020). The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, network dynamics; diffusion, epidemics and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks and technological networks.

Complex Sciences

Author : Jie Zhou
Publisher : Springer Science & Business Media
ISBN 13 : 3642024661
Total Pages : 1219 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Complex Sciences by : Jie Zhou

Download or read book Complex Sciences written by Jie Zhou and published by Springer Science & Business Media. This book was released on 2009-06-26 with total page 1219 pages. Available in PDF, EPUB and Kindle. Book excerpt: I was invited to join the Organizing Committee of the First International Conference on Complex Sciences: Theory and Applications (Complex 2009) as its ninth member. At that moment, eight distinguished colleagues, General Co-chairs Eugene Stanley and Gaoxi Xiao, Technical Co-chairs János Kertész and Bing-Hong Wang, Local Co-chairs Hengshan Wang and Hong-An Che, Publicity Team Shi Xiao and Yubo Wang, had spent hundreds of hours pushing the conference half way to its birth. Ever since then, I have been amazed to see hundreds of papers flooding in, reviewed and commented on by the TPC members. Finally, more than 200 contributions were - lected for the proceedings currently in your hands. They include about 200 papers from the main conference (selected from more than 320 submissions) and about 33 papers from the five collated workshops: Complexity Theory of Art and Music (COART) Causality in Complex Systems (ComplexCCS) Complex Engineering Networks (ComplexEN) Modeling and Analysis of Human Dynamics (MANDYN) Social Physics and its Applications (SPA) Complex sciences are expanding their colonies at such a dazzling speed that it - comes literally impossible for any conference to cover all the frontiers.

Symmetry in Renewable Energy and Power Systems

Author : Raúl Baños Navarro
Publisher : MDPI
ISBN 13 : 3039439014
Total Pages : 155 pages
Book Rating : 4.0/5 (394 download)

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Book Synopsis Symmetry in Renewable Energy and Power Systems by : Raúl Baños Navarro

Download or read book Symmetry in Renewable Energy and Power Systems written by Raúl Baños Navarro and published by MDPI. This book was released on 2021-01-21 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes original research papers related to renewable energy and power systems in which theoretical or practical issues of symmetry are considered. The book includes contributions on voltage stability analysis in DC networks, optimal dispatch of islanded microgrid systems, reactive power compensation, direct power compensation, optimal location and sizing of photovoltaic sources in DC networks, layout of parabolic trough solar collectors, topologic analysis of high-voltage transmission grids, geometric algebra and power systems, filter design for harmonic current compensation. The contributions included in this book describe the state of the art in this field and shed light on the possibilities that the study of symmetry has in power grids and renewable energy systems.

Symmetry and Universal Critical Properties of a Class of Discrete State Networks

Author : Shabnam Hossein
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (12 download)

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Book Synopsis Symmetry and Universal Critical Properties of a Class of Discrete State Networks by : Shabnam Hossein

Download or read book Symmetry and Universal Critical Properties of a Class of Discrete State Networks written by Shabnam Hossein and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, we study the statistical mechanics of Boolean networks as a simple model in class of heterogeneous complex systems. Boolean networks are used as generic models of complex systems of many interacting units, such as gene and protein interaction systems, neural networks and economical systems. They are particularly good examples of complex systems to study because they are relatively simple, yet have a nontrivial dynamical phase transition. We investigate the statistical mechanics of how this model behaves and dynamical properties of random Boolean networks at criticality. First we study the dynamics of critical random Boolean networks and find what the symmetry of the dynamics is. We propose a symmetry group, the \textit{canalization preserving group}, that describes the symmetry observed. The orbits of this symmetry group consist of Boolean functions that have the same canalization values. Canalization is a form of robustness in which a subset of the input values control the behavior of a node regardless of the remaining inputs. We show that the same symmetry governs critical random discrete multi-state networks dynamics with higher number of output values for each node. We investigate the criticality of random multi-state networks, and show that the same canalization preserving symmetry governs the critical multi-state networks dynamics as well. We also study a particular dynamical property of critical random Boolean networks: their attractor length distribution. Using a known result that nodes relevant to the dynamics on attractors at criticality can be divided into separate components, we analyze the structure of these relevant components and how their dynamics combine to find the distribution of attractor lengths. This is accomplished by mapping the problem to the enumeration of binary Lyndon words. Using analytical arguments we show that the attractor length distribution becomes scale-free in the large network limit with a decay described by a critical exponent of 1. The universal nature of this behavior is demonstrated by comparison to that of the evolved critical state achieved through the playing of an adaptive game that selects for diversity of node's behavior, and that of the attractor length distribution of critical multi-state networks.