Complexity of Network Synchronization
Author: Baruch Awerbuch
Publisher:
Published: 1985
Total Pages: 29
ISBN-13:
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Author: Baruch Awerbuch
Publisher:
Published: 1985
Total Pages: 29
ISBN-13:
DOWNLOAD EBOOKAuthor: Alexander Balanov
Publisher: Springer Science & Business Media
Published: 2008-11-23
Total Pages: 426
ISBN-13: 3540721282
DOWNLOAD EBOOKThis fascinating work is devoted to the fundamental phenomenon in physics – synchronization that occurs in coupled non-linear dissipative oscillators. Examples of such systems range from mechanical clocks to population dynamics, from the human heart to neural networks. The main purpose of this book is to demonstrate that the complexity of synchronous patterns of real oscillating systems can be described in the framework of the general approach, and the authors study this phenomenon as applied to oscillations of different types, such as those with periodic, chaotic, noisy and noise-induced nature.
Author: Chai Wah Wu
Publisher: World Scientific
Published: 2007
Total Pages: 168
ISBN-13: 9812709746
DOWNLOAD EBOOKThis 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: David L. Mills
Publisher: CRC Press
Published: 2006-03-24
Total Pages: 305
ISBN-13: 1420006150
DOWNLOAD EBOOKWhat 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: Bela Bollobas
Publisher: Courier Corporation
Published: 2013-07-02
Total Pages: 512
ISBN-13: 0486317587
DOWNLOAD EBOOKThe ever-expanding field of extremal graph theory encompasses a diverse array of problem-solving methods, including applications to economics, computer science, and optimization theory. This volume, based on a series of lectures delivered to graduate students at the University of Cambridge, presents a concise yet comprehensive treatment of extremal graph theory. Unlike most graph theory treatises, this text features complete proofs for almost all of its results. Further insights into theory are provided by the numerous exercises of varying degrees of difficulty that accompany each chapter. Although geared toward mathematicians and research students, much of Extremal Graph Theory is accessible even to undergraduate students of mathematics. Pure mathematicians will find this text a valuable resource in terms of its unusually large collection of results and proofs, and professionals in other fields with an interest in the applications of graph theory will also appreciate its precision and scope.
Author: Plamen Ch. Ivanov
Publisher: Frontiers Media SA
Published: 2022-02-17
Total Pages: 842
ISBN-13: 2889714357
DOWNLOAD EBOOKAuthor: Ljupco Kocarev
Publisher: Springer
Published: 2013-01-18
Total Pages: 282
ISBN-13: 3642333591
DOWNLOAD EBOOKIn 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
Published: 2007-08-10
Total Pages: 373
ISBN-13: 3540712690
DOWNLOAD EBOOKThis 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: Rati Gelashvili
Publisher:
Published: 2017
Total Pages: 197
ISBN-13:
DOWNLOAD EBOOKThe field of distributed algorithms revolves around efficiently solving synchronization tasks, such as leader election and consensus. We make contributions towards a better understanding of the complexity of central tasks in standard distributed models. In the population protocols model, we demonstrate how to solve majority and leader election efficiently, in time 0(log2 n), using 0(log n) states per node, for n nodes. Central to our algorithms is a new leaderless phase clock technique. We also prove tight lower bounds on the state complexity of solving these tasks. In shared memory, we prove that any nondeterministic solo terminating consensus algorithm for anonymous processes has to use [omega](n) read-write registers. Then, we show how to solve n-process wait-free consensus by combining synchronization instructions that would be considered “weak” according to Herlihy’s consensus hierarchy. This collapses the hierarchy when instructions can be applied to the same memory location, as is the case in all existing multicore processors. We suggest an alternative hierarchy and provide a practical universal construction using only “weak” instructions, that performs as well as the Compare-and-Swap-based solution. Space complexity of solving k-set agreement is a problem that highlights important gaps in our understanding and state-of-the-art methods. No general lower bound better than 2 is known. We introduce a new technique based on an indirect black-box application of Sperner’s Lemma through an algorithmic reduction to the impossibility of wait-free k-set agreement. We design a simulation such that for any protocol either the simulating processes solve wait-free k-set agreement (impossible), or they simulate an execution of that uses many registers. Finally, time complexity of leader election is a long-standing open problem. We give an algorithm with 0(log* k) time complexity in asynchronous message-passing system, for k participants.
Author: Bruno Durand
Publisher: Springer
Published: 2006-03-01
Total Pages: 730
ISBN-13: 3540322884
DOWNLOAD EBOOKThis 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.