Synchronization in complex networks of nonlinear dynamical systems /:
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 co...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey :
World Scientific,
©2007.
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xii, 155 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 143-151) and index. |
| ISBN: | 9789812709745 9812709746 1281918903 9781281918901 |
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| contents | 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. |
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| spelling | Wu, Chai Wah. http://id.loc.gov/authorities/names/n2004017444 Synchronization in complex networks of nonlinear dynamical systems / Chai Wah Wu. New Jersey : World Scientific, ©2007. 1 online resource (xii, 155 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 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. Print version record. Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 System analysis. Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Synchronization. http://id.loc.gov/authorities/subjects/sh85131609 Dynamique différentiable. Analyse de systèmes. Théories non linéaires. Synchronisation. systems analysis. aat MATHEMATICS Differential Equations General. bisacsh Differentiable dynamical systems fast Nonlinear theories fast Synchronization fast System analysis fast has work: Synchronization in complex networks of nonlinear dynamical systems (Text) https://id.oclc.org/worldcat/entity/E39PCGRCh4yF9vpXYM8ycWcRqP https://id.oclc.org/worldcat/ontology/hasWork Print version: Wu, Chai Wah. Synchronization in complex networks of nonlinear dynamical systems. New Jersey : World Scientific, ©2007 9789812709738 9812709738 (DLC) 2008295611 (OCoLC)214067976 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235981 Volltext |
| spellingShingle | Wu, Chai Wah Synchronization in complex networks of nonlinear dynamical systems / 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. Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 System analysis. Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Synchronization. http://id.loc.gov/authorities/subjects/sh85131609 Dynamique différentiable. Analyse de systèmes. Théories non linéaires. Synchronisation. systems analysis. aat MATHEMATICS Differential Equations General. bisacsh Differentiable dynamical systems fast Nonlinear theories fast Synchronization fast System analysis fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037882 http://id.loc.gov/authorities/subjects/sh85092332 http://id.loc.gov/authorities/subjects/sh85131609 |
| 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 | Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 System analysis. Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Synchronization. http://id.loc.gov/authorities/subjects/sh85131609 Dynamique différentiable. Analyse de systèmes. Théories non linéaires. Synchronisation. systems analysis. aat MATHEMATICS Differential Equations General. bisacsh Differentiable dynamical systems fast Nonlinear theories fast Synchronization fast System analysis fast |
| topic_facet | Differentiable dynamical systems. System analysis. Nonlinear theories. Synchronization. Dynamique différentiable. Analyse de systèmes. Théories non linéaires. Synchronisation. systems analysis. MATHEMATICS Differential Equations General. Differentiable dynamical systems Nonlinear theories Synchronization System analysis |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235981 |
| work_keys_str_mv | AT wuchaiwah synchronizationincomplexnetworksofnonlineardynamicalsystems |