Synchronization in complex networks of nonlinear dynamical systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New Jersey
World Scientific
c2007
|
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (p. 143-151) and index 1. Introduction -- 2. Graphs, networks, Laplacian matrices and algebraic connectivity -- 3. Graph models -- 4. Synchronization in networks of nonlinear continous-time dynamical systems -- 5. Synchronization in networks of couple discrete-time systems -- 6. Synchronization in network of systems with linear dynamics -- 7. Agreement and consensus problems in groups of interacting agents 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 |
| Physical Description: | 1 Online-Ressource (xii, 155 p.) |
| ISBN: | 1281918903 9781281918901 9789812709738 9789812709745 9812709738 9812709746 |
Staff View
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| 500 | |a Includes bibliographical references (p. 143-151) and index | ||
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| 500 | |a 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 | ||
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:05Z |
| institution | BVB |
| isbn | 1281918903 9781281918901 9789812709738 9789812709745 9812709738 9812709746 |
| language | English |
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| spelling | Wu, Chai Wah Verfasser aut Synchronization in complex networks of nonlinear dynamical systems Chai Wah Wu New Jersey World Scientific c2007 1 Online-Ressource (xii, 155 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 143-151) and index 1. Introduction -- 2. Graphs, networks, Laplacian matrices and algebraic connectivity -- 3. Graph models -- 4. Synchronization in networks of nonlinear continous-time dynamical systems -- 5. Synchronization in networks of couple discrete-time systems -- 6. Synchronization in network of systems with linear dynamics -- 7. Agreement and consensus problems in groups of interacting agents 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 MATHEMATICS / Differential Equations / General bisacsh Differentiable dynamical systems fast Nonlinear theories fast Synchronization fast System analysis fast Differentiable dynamical systems System analysis Nonlinear theories Synchronization http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235981 Aggregator Volltext |
| spellingShingle | Wu, Chai Wah Synchronization in complex networks of nonlinear dynamical systems MATHEMATICS / Differential Equations / General bisacsh Differentiable dynamical systems fast Nonlinear theories fast Synchronization fast System analysis fast Differentiable dynamical systems System analysis Nonlinear theories Synchronization |
| title | Synchronization in complex networks of nonlinear dynamical systems |
| title_auth | Synchronization in complex networks of nonlinear dynamical systems |
| title_exact_search | Synchronization in complex networks of nonlinear dynamical systems |
| title_full | Synchronization in complex networks of nonlinear dynamical systems Chai Wah Wu |
| title_fullStr | Synchronization in complex networks of nonlinear dynamical systems Chai Wah Wu |
| title_full_unstemmed | Synchronization in complex networks of nonlinear dynamical systems Chai Wah Wu |
| title_short | Synchronization in complex networks of nonlinear dynamical systems |
| title_sort | synchronization in complex networks of nonlinear dynamical systems |
| topic | MATHEMATICS / Differential Equations / General bisacsh Differentiable dynamical systems fast Nonlinear theories fast Synchronization fast System analysis fast Differentiable dynamical systems System analysis Nonlinear theories Synchronization |
| topic_facet | MATHEMATICS / Differential Equations / General Differentiable dynamical systems Nonlinear theories Synchronization System analysis |
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| work_keys_str_mv | AT wuchaiwah synchronizationincomplexnetworksofnonlineardynamicalsystems |