Stability Of Dynamical Processes On Complex Networks

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Dynamical Processes on Complex Networks

Author : Alain Barrat
Publisher : Cambridge University Press
ISBN 13 : 1107377420
Total Pages : 409 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Dynamical Processes on Complex Networks by : Alain Barrat

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 409 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.

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.

Dynamical Systems on Networks

Author : Mason Porter
Publisher : Springer
ISBN 13 : 3319266411
Total Pages : 91 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Dynamical Systems on Networks by : Mason Porter

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 91 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.

Propagation Dynamics on Complex Networks

Author : Xinchu Fu
Publisher : John Wiley & Sons
ISBN 13 : 1118762819
Total Pages : 273 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Propagation Dynamics on Complex Networks by : Xinchu Fu

Download or read book Propagation Dynamics on Complex Networks written by Xinchu Fu and published by John Wiley & Sons. This book was released on 2013-12-17 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the emerging subject of epidemic dynamics on complex networks, including theories, methods, and real-world applications Throughout history epidemic diseases have presented a serious threat to human life, and in recent years the spread of infectious diseases such as dengue, malaria, HIV, and SARS has captured global attention; and in the modern technological age, the proliferation of virus attacks on the Internet highlights the emergent need for knowledge about modeling, analysis, and control in epidemic dynamics on complex networks. For advancement of techniques, it has become clear that more fundamental knowledge will be needed in mathematical and numerical context about how epidemic dynamical networks can be modelled, analyzed, and controlled. This book explores recent progress in these topics and looks at issues relating to various epidemic systems. Propagation Dynamics on Complex Networks covers most key topics in the field, and will provide a valuable resource for graduate students and researchers interested in network science and dynamical systems, and related interdisciplinary fields. Key Features: Includes a brief history of mathematical epidemiology and epidemic modeling on complex networks. Explores how information, opinion, and rumor spread via the Internet and social networks. Presents plausible models for propagation of SARS and avian influenza outbreaks, providing a reality check for otherwise abstract mathematical modeling. Considers various infectivity functions, including constant, piecewise-linear, saturated, and nonlinear cases. Examines information transmission on complex networks, and investigates the difference between information and epidemic spreading.

Dynamics On and Of Complex Networks

Author : Niloy Ganguly
Publisher : Springer Science & Business Media
ISBN 13 : 0817647503
Total Pages : 310 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Dynamics On and Of Complex Networks by : Niloy Ganguly

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.

Algebraic and Discrete Mathematical Methods for Modern Biology

Author : Raina Robeva
Publisher : Academic Press
ISBN 13 : 0128012714
Total Pages : 383 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Algebraic and Discrete Mathematical Methods for Modern Biology by : Raina Robeva

Download or read book Algebraic and Discrete Mathematical Methods for Modern Biology written by Raina Robeva and published by Academic Press. This book was released on 2015-05-09 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods and theory appropriate in the search of answers. Every topic provides a fast-track pathway through the problem by presenting the biological foundation, covering the relevant mathematical theory, and highlighting connections between them. Many of the projects and exercises embedded in each chapter utilize specialized software, providing students with much-needed familiarity and experience with computing applications, critical components of the "modern biology" skill set. This book is appropriate for mathematics courses such as finite mathematics, discrete structures, linear algebra, abstract/modern algebra, graph theory, probability, bioinformatics, statistics, biostatistics, and modeling, as well as for biology courses such as genetics, cell and molecular biology, biochemistry, ecology, and evolution. - Examines significant questions in modern biology and their mathematical treatments - Presents important mathematical concepts and tools in the context of essential biology - Features material of interest to students in both mathematics and biology - Presents chapters in modular format so coverage need not follow the Table of Contents - Introduces projects appropriate for undergraduate research - Utilizes freely accessible software for visualization, simulation, and analysis in modern biology - Requires no calculus as a prerequisite - Provides a complete Solutions Manual - Features a companion website with supplementary resources

Understanding Complex Ecosystem Dynamics

Author : William S. Yackinous
Publisher : Academic Press
ISBN 13 : 0128020636
Total Pages : 435 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Understanding Complex Ecosystem Dynamics by : William S. Yackinous

Download or read book Understanding Complex Ecosystem Dynamics written by William S. Yackinous and published by Academic Press. This book was released on 2015-06-03 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding Complex Ecosystem Dynamics: A Systems and Engineering Perspective takes a fresh, interdisciplinary perspective on complex system dynamics, beginning with a discussion of relevant systems and engineering skills and practices, including an explanation of the systems approach and its major elements. From this perspective, the author formulates an ecosystem dynamics functionality-based framework to guide ecological investigations. Next, because complex system theory (across many subject matter areas) is crucial to the work of this book, relevant network theory, nonlinear dynamics theory, cellular automata theory, and roughness (fractal) theory is covered in some detail. This material serves as an important resource as the book proceeds. In the context of all of the foregoing discussion and investigation, a view of the characteristics of ecological network dynamics is constructed. This view, in turn, is the basis for the central hypothesis of the book, i.e., ecological networks are ever-changing networks with propagation dynamics that are punctuated, local-to-global, and perhaps most importantly fractal. To analyze and fully test this hypothesis, an innovative ecological network dynamics model is defined, designed, and developed. The modeling approach, which seeks to emulate features of real-world ecological networks, does not make a priori assumptions about ecological network dynamics, but rather lets the dynamics develop as the model simulation runs. Model analysis results corroborate the central hypothesis. Additional important insights and principles are suggested by the model analysis results and by the other supporting investigations of this book – and can serve as a basis for going-forward complex system dynamics research, not only for ecological systems but for complex systems in general. - Provides a fresh interdisciplinary perspective, offers a broad integrated development, and contains many new ideas - Clearly explains the elements of the systems approach and applies them throughout the book - Takes on the challenging and open issues of complex system network dynamics - Develops and utilizes a new, innovative ecosystem dynamics modeling approach - Contains over 135 graphic illustrations to help the reader visualize and understand important concepts

Multilayer Networks

Author : Ginestra Bianconi
Publisher : Oxford University Press
ISBN 13 : 0198753918
Total Pages : 417 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Multilayer Networks by : Ginestra Bianconi

Download or read book Multilayer Networks written by Ginestra Bianconi and published by Oxford University Press. This book was released on 2018 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multilayer networks' has become a central topic in Network Science. The book presents a comprehensive account of this emerging field. Multilayer networks are formed by several networks and include social networks, financial markets, multi-modal transportation systems, infrastructures, molecular networks and the brain.--

Statistical Physics and Computational Methods for Evolutionary Game Theory

Author : Marco Alberto Javarone
Publisher : Springer
ISBN 13 : 331970205X
Total Pages : 81 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Statistical Physics and Computational Methods for Evolutionary Game Theory by : Marco Alberto Javarone

Download or read book Statistical Physics and Computational Methods for Evolutionary Game Theory written by Marco Alberto Javarone and published by Springer. This book was released on 2018-01-11 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction to Evolutionary Game Theory (EGT) which is an emerging field in the area of complex systems attracting the attention of researchers from disparate scientific communities. EGT allows one to represent and study several complex phenomena, such as the emergence of cooperation in social systems, the role of conformity in shaping the equilibrium of a population, and the dynamics in biological and ecological systems.Since EGT models belong to the area of complex systems, statistical physics constitutes a fundamental ingredient for investigating their behavior. At the same time, the complexity of some EGT models, such as those realized by means of agent-based methods, often require the implementation of numerical simulations. Therefore, beyond providing an introduction to EGT, this book gives a brief overview of the main statistical physics tools (such as phase transitions and the Ising model) and computational strategies for simulating evolutionary games (such as Monte Carlo algorithms on lattices). This book will appeal to students and researchers in this burgeoning field of complex systems.

Higher Order Networks: An Introduction to Simplicial Complexes

Author : Ginestra Bianconi
Publisher : Cambridge University Press
ISBN 13 : 1108726739
Total Pages : 149 pages
Book Rating : 4.1/5 (87 download)

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

Download or read book Higher Order Networks: An Introduction to Simplicial Complexes written by Ginestra Bianconi and published by Cambridge University Press. This book was released on 2021-12-23 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Statistical Physics of Complex Systems

Author : Eric Bertin
Publisher : Springer
ISBN 13 : 3319423401
Total Pages : 180 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Statistical Physics of Complex Systems by : Eric Bertin

Download or read book Statistical Physics of Complex Systems written by Eric Bertin and published by Springer. This book was released on 2016-10-14 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This course-tested primer provides graduate students and non-specialists with a basic understanding of the concepts and methods of statistical physics and demonstrates their wide range of applications to interdisciplinary topics in the field of complex system sciences, including selected aspects of theoretical modeling in biology and the social sciences. Generally speaking, the goals of statistical physics may be summarized as follows: on the one hand to study systems composed of a large number of interacting units, and on the other to predict the macroscopic, collective behavior of the system considered from the perspective of the microscopic laws governing the dynamics of the individual entities. These two goals are essentially also shared by what is now called 'complex systems science,' and as such, systems studied in the framework of statistical physics may be considered to be among the simplest examples of complex systems – while also offering a rather well developed mathematical treatment. The second edition has been significantly revised and expanded, featuring in particular three new chapters addressing non-conserved particles, evolutionary population dynamics, networks, properties of both individual and coupled simple dynamical systems, and convergence theorems, as well as short appendices that offer helpful hints on how to perform simple stochastic simulations in practice. Yet, the original spirit of the book – to remain accessible to a broad, non-specialized readership – has been kept throughout: the format is a set of concise, modular and self-contained topical chapters, avoiding technicalities and jargon as much as possible, and complemented by a wealth of worked-out examples, so as to make this work useful as a self-study text or as textbook for short courses. From the reviews of the first edition: “... a good introduction to basic concepts of statistical physics and complex systems for students and researchers with an interest in complex systems in other fields ... .” Georg Hebermehl, Zentralblatt MATH, Vol. 1237, 2012 “... this short text remains very refreshing for the mathematician.” Dimitri Petritis, Mathematical Reviews, Issue 2012k

Complex Networks

Author : Eli Ben-Naim
Publisher : Springer Science & Business Media
ISBN 13 : 9783540223542
Total Pages : 548 pages
Book Rating : 4.2/5 (235 download)

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Book Synopsis Complex Networks by : Eli Ben-Naim

Download or read book Complex Networks written by Eli Ben-Naim and published by Springer Science & Business Media. This book was released on 2004-09-01 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the applications of techniques from statistical physics to the characterization and modeling of complex networks. The first two parts of the book concern theory and modeling of networks, the last two parts survey applications to a wide variety of natural and artificial networks. The tutorial reviews that form this book are aimed at students and newcomers to the field, and will also constitute a modern and comprehensive reference for experts. To this aim, all contributions have been carefully peer-reviewed not only for scientific content but also for self-consistency and readability.

Springer Handbook of Automation

Author : Shimon Y. Nof
Publisher : Springer Nature
ISBN 13 : 3030967298
Total Pages : 1533 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Springer Handbook of Automation by : Shimon Y. Nof

Download or read book Springer Handbook of Automation written by Shimon Y. Nof and published by Springer Nature. This book was released on 2023-06-16 with total page 1533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook incorporates new developments in automation. It also presents a widespread and well-structured conglomeration of new emerging application areas, such as medical systems and health, transportation, security and maintenance, service, construction and retail as well as production or logistics. The handbook is not only an ideal resource for automation experts but also for people new to this expanding field.

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

Author : Gianfranco Minati
Publisher : MDPI
ISBN 13 : 3038424404
Total Pages : 221 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis General System Theory: Perspectives in Philosophy and Approaches in Complex Systems by : Gianfranco Minati

Download or read book General System Theory: Perspectives in Philosophy and Approaches in Complex Systems written by Gianfranco Minati and published by MDPI. This book was released on 2018-07-09 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Complex Networks and Their Applications VII

Author : Luca Maria Aiello
Publisher : Springer
ISBN 13 : 303005411X
Total Pages : 906 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Complex Networks and Their Applications VII by : Luca Maria Aiello

Download or read book Complex Networks and Their Applications VII written by Luca Maria Aiello and published by Springer. This book was released on 2018-12-01 with total page 906 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, together with a wealth of applications. It presents the peer-reviewed proceedings of the VII International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2018), which was held in Cambridge on December 11–13, 2018. The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure and network dynamics; diffusion, epidemics and spreading processes; and 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.

Control Techniques for Complex Networks

Author : Sean Meyn
Publisher : Cambridge University Press
ISBN 13 : 0521884411
Total Pages : 33 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Control Techniques for Complex Networks by : Sean Meyn

Download or read book Control Techniques for Complex Networks written by Sean Meyn and published by Cambridge University Press. This book was released on 2008 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: From foundations to state-of-the-art; the tools and philosophy you need to build network models.

Fractional Dynamics on Networks and Lattices

Author : Thomas Michelitsch
Publisher : John Wiley & Sons
ISBN 13 : 178630158X
Total Pages : 340 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Fractional Dynamics on Networks and Lattices by : Thomas Michelitsch

Download or read book Fractional Dynamics on Networks and Lattices written by Thomas Michelitsch and published by John Wiley & Sons. This book was released on 2019-04-30 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes stochastic processes on networks and regular structures such as lattices by employing the Markovian random walk approach. Part 1 is devoted to the study of local and non-local random walks. It shows how non-local random walk strategies can be defined by functions of the Laplacian matrix that maintain the stochasticity of the transition probabilities. A major result is that only two types of functions are admissible: type (i) functions generate asymptotically local walks with the emergence of Brownian motion, whereas type (ii) functions generate asymptotically scale-free non-local “fractional” walks with the emergence of Lévy flights. In Part 2, fractional dynamics and Lévy flight behavior are analyzed thoroughly, and a generalization of Pólya's classical recurrence theorem is developed for fractional walks. The authors analyze primary fractional walk characteristics such as the mean occupation time, the mean first passage time, the fractal scaling of the set of distinct nodes visited, etc. The results show the improved search capacities of fractional dynamics on networks.