Complexity Of Network Synchronization
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Author | : Chai Wah Wu |
Publisher | : World Scientific |
Total Pages | : 168 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 9812709746 |
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 | : Ljupco Kocarev |
Publisher | : Springer |
Total Pages | : 282 |
Release | : 2013-01-18 |
Genre | : Science |
ISBN | : 3642333591 |
In this book for the first time two scientific fields - consensus formation and synchronization of communications - are presented together and examined through their interrelational aspects, of rapidly growing importance. Both fields have indeed attracted enormous research interest especially in relation to complex networks. In networks of dynamic systems (or agents), consensus means to reach an agreement regarding a certain quantity of interest that depends on the state of all dynamical systems (agents). Consensus problems have a long history in control theory and computer sciences, and form the foundation of the field of distributed computing. Synchronization, which defines correlated-in-time behavior between different processes and roots going back to Huygens to the least, is now a highly popular, exciting and rapidly developing topic, with applications ranging from biological networks to mathematical epidemiology, and from processing information in the brain to engineering of communications devices. The book reviews recent finding in both fields and describes novel approaches to consensus formation, where consensus is realized as an instance of the nonlinear dynamics paradigm of chaos synchronization. The chapters are written by world-known experts in both fields and cover topics ranging from fundaments to various applications of consensus and synchronization.
Author | : Grigory V. Osipov |
Publisher | : Springer Science & Business Media |
Total Pages | : 373 |
Release | : 2007-08-10 |
Genre | : Science |
ISBN | : 3540712690 |
This work systematically investigates a large number of oscillatory network configurations that are able to describe many real systems such as electric power grids, lasers or even the heart muscle, to name but a few. The book is conceived as an introduction to the field for graduate students in physics and applied mathematics as well as being a compendium for researchers from any field of application interested in quantitative models.
Author | : Plamen Ch. Ivanov |
Publisher | : Frontiers Media SA |
Total Pages | : 842 |
Release | : 2022-02-17 |
Genre | : Science |
ISBN | : 2889714357 |
Author | : Rudolf Fleischer |
Publisher | : Springer Science & Business Media |
Total Pages | : 951 |
Release | : 2004-12-03 |
Genre | : Computers |
ISBN | : 3540241310 |
This book constitutes the refereed proceedings of the 15th International Symposium on Algorithms and Computation, ISAAC 2004, held in Hong Kong, China in December 2004. The 76 revised full papers presented were carefully reviewed and selected from 226 submissions. Among the topics addressed are computational geometry, graph computations, computational combinatorics, combinatorial optimization, computational complexity, scheduling, distributed algorithms, parallel algorithms, data structures, network optimization, randomized algorithms, and computational mathematics more generally.
Author | : Bruno Durand |
Publisher | : Springer |
Total Pages | : 730 |
Release | : 2006-03-01 |
Genre | : Computers |
ISBN | : 3540322884 |
This book constitutes the refereed proceedings of the 23rd Annual Symposium on Theoretical Aspects of Computer Science, held in February 2006. The 54 revised full papers presented together with three invited papers were carefully reviewed and selected from 283 submissions. The papers address the whole range of theoretical computer science including algorithms and data structures, automata and formal languages, complexity theory, semantics, and logic in computer science.
Author | : David L. Mills |
Publisher | : CRC Press |
Total Pages | : 305 |
Release | : 2006-03-24 |
Genre | : Computers |
ISBN | : 1420006150 |
What started with the sundial has, thus far, been refined to a level of precision based on atomic resonance: Time. Our obsession with time is evident in this continued scaling down to nanosecond resolution and beyond. But this obsession is not without warrant. Precision and time synchronization are critical in many applications, such as air traffic
Author | : Ding-zhu Du |
Publisher | : World Scientific |
Total Pages | : 417 |
Release | : 1993-04-27 |
Genre | : |
ISBN | : 9814504580 |
In the past few decades, there has been a large amount of work on algorithms for linear network flow problems, special classes of network problems such as assignment problems (linear and quadratic), Steiner tree problem, topology network design and nonconvex cost network flow problems.Network optimization problems find numerous applications in transportation, in communication network design, in production and inventory planning, in facilities location and allocation, and in VLSI design.The purpose of this book is to cover a spectrum of recent developments in network optimization problems, from linear networks to general nonconvex network flow problems./a
Author | : Guanrong Chen |
Publisher | : John Wiley & Sons |
Total Pages | : 384 |
Release | : 2015-06-29 |
Genre | : Computers |
ISBN | : 1118718119 |
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 | : Dorothea Wagner |
Publisher | : Springer |
Total Pages | : 418 |
Release | : 2007-09-27 |
Genre | : Computers |
ISBN | : 3540749918 |
This monograph presents the outcome of a GI-Dagstuhl Seminar held in Dagstuhl Castle in November 2005. It gives a first overview of algorithmic results on wireless ad hoc and sensor networks. Many chapters deal with distributed algorithms. Importance is attached to topics that combine both interesting aspects of wireless networks and attractive algorithmic methods. Each chapter provides a survey of some part of the field, while selected results are described in more detail.