© 2020 World Scientific Publishing Co Pte Ltd, Nonlinear Science, Chaos & Dynamical Systems, Graphs, Networks, Laplacian Matrices and Algebraic Connectivity, 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, Synchronization in Networks of Nonlinear Continuous-Time Dynamical Systems, Synchronization in Networks of Coupled Discrete-Time Systems, Erdös number and scientific collaboration network, Algebraic connectivity of small-world networks, Algebraic connectivity and degree sequence, Synchronization and algebraic connectivity, Coupling topology with a spanning directed tree, Synchronization criteria based on algebraic connectivity, Synchronization of coupled scalar maps via contractivity of operators, Nonautonomous coupling: continuous-time case, Nonautonomous coupling: discrete-time case, Ergodicity of inhomogeneous Markov chains, Pseudocontractivity and scrambling stochastic matrices, Set-nonexpansive and set-contractive operators, Set-contractivity under the Euclidean norm, Set-contractivity under a weighted Euclidean norm, Set-contractivity and coefficient of ergodicity, Follow the leader dynamics and leadership in coordinated agents, Synchronization in random networks without the scrambling condition, Appendix A Algebraic Connectivity and Combinatorial Properties of a Graph. ScienceDirect ® is a registered trademark of Elsevier B.V. ScienceDirect ® is a registered trademark of Elsevier B.V. In this review, we report the advances in the comprehension of synchronization phenomena when oscillating elements are constrained to interact in a complex network topology. Download PDF. Sample Chapter(s) In this review, we report the advances in the comprehension of synchronization phenomena when oscillating elements are constrained to interact in a complex network topology. Copyright © 2020 Elsevier B.V. or its licensors or contributors. 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 field of synchronization of networks of complex systems has received a lot of attention in the last three decades, due to the potential applications in engineering, the proliferation of computer networks, communications networks as the internet, wireless communications as cellular telephony and many others [1, 2]. System Upgrade on Fri, Jun 26th, 2020 at 5pm (ET) During this period, our website will be offline for less than an hour but the E-commerce and registration of new users may not be available for up to 4 hours. Copyright © 2008 Elsevier B.V. All rights reserved. Finally, we review several applications of synchronization in complex networks to different disciplines: biological systems and neuroscience, engineering and computer science, and economy and social sciences. Title:Synchronization in complex networks. By continuing to browse the site, you consent to the use of our cookies. We also take an overview of the new emergent features coming out from the interplay between the structure and the function of the underlying patterns of connections. Moreover, the coupled oscillator model (1)serves as the prototypical example for synchronization in complex networks (Arenas et al., 2008, Boccaletti et al., 2006, Osipov et al., 2007, Strogatz, 2001, Suykens and Osipov, 2008), and its linearization is the well-known consensus protocol studied in networked control; see the surveys and monographs (Bullo et al., 2009, Garin and Schenato, … By continuing you agree to the use of cookies. The many efforts de- voted to understand synchronization phenomena in natural systems take now advantage of the recent theory of complex networks. Synchronization processes in populations of locally interacting elements are the focus of intense research in physical, biological, chemical, technological and social systems. The many efforts devoted to understanding synchronization phenomena in natural systems now take advantage of the recent theory of complex networks. 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. Synchronization processes in populations of locally interacting elements are in the focus of intense research in physical, biological, chemical, technological and social systems. By continuing you agree to the use of cookies. Synchronization processes in populations of locally interacting elements are the focus of intense research in physical, biological, chemical, technological and social systems. Enter your email address below and we will send you the reset instructions, If the address matches an existing account you will receive an email with instructions to reset your password, Enter your email address below and we will send you your username, If the address matches an existing account you will receive an email with instructions to retrieve your username. Synchronization in complex oscillator networks and smart grids. Copyright © 2008 Elsevier B.V. All rights reserved. The many efforts devoted to understanding synchronization phenomena in natural systems now take advantage of the recent theory of complex networks. We focus on robustness of synchronization, controllability and observability of complex networks and synchronization of multiplex networks. Synchronization processes in populations of locally interacting elements are the focus of intense research in physical, biological, chemical, technological and social systems. 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. We also take an overview of the new emergent features coming out from the interplay between the structure and the function of the underlying patterns of connections. Please check your inbox for the reset password link that is only valid for 24 hours. Chapter 1: Introduction (76 KB), https://doi.org/10.1142/9789812709745_fmatter, https://doi.org/10.1142/9789812709745_0001, https://doi.org/10.1142/9789812709745_0002, https://doi.org/10.1142/9789812709745_0003, https://doi.org/10.1142/9789812709745_0004, https://doi.org/10.1142/9789812709745_0005, https://doi.org/10.1142/9789812709745_0006, https://doi.org/10.1142/9789812709745_0007, https://doi.org/10.1142/9789812709745_bmatter, Sample Chapter(s) Chapter 1: Introduction (76k). https://doi.org/10.1016/j.physrep.2008.09.002. Finally, we review several applications of synchronization in complex networks to different disciplines: biological systems and neuroscience, engineering and computer science, and economy and social sciences. Synchronization processes in populations of locally interacting elements are the focus of intense research in physical, biological, chemical, technological and social systems. We use cookies to help provide and enhance our service and tailor content and ads. Extensive numerical work as well as analytical approaches to the problem are presented. Abstract. https://doi.org/10.1016/j.physrep.2008.09.002. We use cookies on this site to enhance your user experience. Abstract:Synchronization processes in populations of locally interacting elements arein the focus of intense research in physical, biological, chemical,technological and social systems. The book introduces ideas from systems theory, linear algebra and graph theory and the synergy between them that are necessary to derive synchronization conditions. Florian Dörflera,b,1, Michael Chertkovb, and Francesco Bulloa. The many efforts devoted to understanding synchronization phenomena in natural systems now take advantage of the recent theory of complex networks. The main theme of this book is that synchronization conditions can be related to graph theoretical properties of the underlying coupling topology. ScienceDirect ® is a registered trademark of Elsevier B.V. ScienceDirect ® is a registered trademark of Elsevier B.V. The many efforts devoted to understanding synchronization phenomena in natural systems now take advantage of the recent theory of complex networks. Our website is made possible by displaying certain online content using javascript. Copyright © 2020 Elsevier B.V. or its licensors or contributors. This paper attempts to present an overview of recent progress of synchronization of complex dynamical networks and its applications. We use cookies to help provide and enhance our service and tailor content and ads. Abstract. Extensive numerical work as well as analytical approaches to the problem are presented. Authors:Alex Arenas, Albert Diaz-Guilera, Jurgen Kurths, Yamir Moreno, Changsong Zhou.