Emergence of dynamical order :: synchronization phenomena in complex systems /
Large populations of interacting active elements, periodic or chaotic, can undergo spontaneous transitions to dynamically ordered states. These collective states are characterized by self-organized coherence revealed by full mutual synchronization of individual dynamics or the formation of multiple...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
River Edge, NJ :
World Scientific,
©2004.
|
| Schriftenreihe: | World Scientific lecture notes in complex systems ;
v. 2. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Large populations of interacting active elements, periodic or chaotic, can undergo spontaneous transitions to dynamically ordered states. These collective states are characterized by self-organized coherence revealed by full mutual synchronization of individual dynamics or the formation of multiple synchronous clusters. Such self-organization phenomena are essential for the functioning of complex systems of various origins, both natural and artificial. This book provides a detailed introduction to the theory of collective synchronization phenomena in large complex systems. Transitions to dynamical clustering and synchronized states are systematically discussed. Such concepts as dynamical order parameters, glass like behavior and hierarchical organization are presented. |
| Beschreibung: | 1 online resource (ix, 348 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 331-344) and index. |
| ISBN: | 981256246X 9789812562463 9789812388032 9812388036 1281347655 9781281347657 9786611347659 6611347658 |
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| 260 | |a River Edge, NJ : |b World Scientific, |c ©2004. | ||
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| 504 | |a Includes bibliographical references (pages 331-344) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a Large populations of interacting active elements, periodic or chaotic, can undergo spontaneous transitions to dynamically ordered states. These collective states are characterized by self-organized coherence revealed by full mutual synchronization of individual dynamics or the formation of multiple synchronous clusters. Such self-organization phenomena are essential for the functioning of complex systems of various origins, both natural and artificial. This book provides a detailed introduction to the theory of collective synchronization phenomena in large complex systems. Transitions to dynamical clustering and synchronized states are systematically discussed. Such concepts as dynamical order parameters, glass like behavior and hierarchical organization are presented. | ||
| 505 | 0 | |a Emergence of Dynamical Order: Synchronization Phenomena in Complex Systems; Contents; Preface; 1. Introduction; Part 1: Synchronization and Clustering of Periodic Oscillators; 2. Ensembles of Identical Phase Oscillators; 2.1 Coupled Periodic Oscillators; 2.2 Global Coupling and Full Synchronization; 2.3 Clustering; 2.4 Other Interaction Models; 3. Heterogeneous Ensembles and the Effects of Noise; 3.1 Transition to Frequency Synchronization; 3.2 Frequency Clustering; 3.3 Fluctuating Forces; 3.4 Time-Delayed Interactions; 4. Oscillator Networks; 4.1 Regular Lattices with Local Interactions. | |
| 505 | 8 | |a 4.1.1 Heterogeneous ensembles4.2 Random Interaction Architectures; 4.2.1 Frustrated interactions; 4.3 Time Delays; 4.3.1 Periodic linear arrays; 4.3.2 Local interactions with uniform delay; 5. Arrays of Limit-Cycle Oscillators; 5.1 Synchronization of Weakly Nonlinear Oscillators; 5.1.1 Oscillation death due to time delays; 5.2 Complex Global Coupling; 5.3 Non-local Coupling; Part 2: Synchronization and Clustering in Chaotic Systems; 6. Chaos and Synchronization; 6.1 Chaos in Simple Systems; 6.1.1 Lyapunov exponents; 6.1.2 Phase and amplitude in chaotic systems. | |
| 505 | 8 | |a 6.2 Synchronization of Two Coupled Maps6.2.1 Saw-tooth maps; 6.3 Synchronization of Two Coupled Oscillators; 6.3.1 Phase synchronization; 6.3.2 Lag synchronization; 6.3.3 Synchronization in the Lorenz system; 7. Synchronization in Populations of Chaotic Elements; 7.1 Ensembles of Identical Oscillators; 7.1.1 Master stability functions; 7.1.2 Synchronizability of arbitrary connection topologies; 7.2 Partial Entrainment in Rossler Oscillators; 7.2.1 Phase synchronization; 7.3 Logistic Maps; 7.3.1 Globally coupled logistic maps; 7.3.2 Heterogeneous ensembles; 7.3.3 Coupled map lattices. | |
| 505 | 8 | |a 8. Clustering8.1 Dynamical Phases of Globally Coupled Logistic Maps; 8.1.1 Two-cluster solutions; 8.1.2 Clustering phase of globally coupled logistic maps; 8.1.3 Turbulent phase; 8.2 Universality Classes and Collective Behavior in Chaotic Maps; 8.3 Randomly Coupled Logistic Maps; 8.4 Clustering in the Rossler System; 8.5 Local Coupling; 9. Dynamical Glasses; 9.1 Introduction to Spin Glasses; 9.2 Globally Coupled Logistic Maps as Dynamical Glasses; 9.3 Replicas and Overlaps in Logistic Maps; 9.4 The Thermodynamic Limit; 9.5 Overlap Distributions and Ultrametricity. | |
| 505 | 8 | |a Part 3: Selected Applications10. Chemical Systems; 10.1 Arrays of Electrochemical Oscillators; 10.1.1 Periodic oscillators; 10.1.2 Chaotic oscillators; 10.2 Catalytic Surface Reactions; 10.2.1 Experiments with global delayed feedback; 10.2.2 Numerical simulations; 10.2.3 Complex Ginzburg-Landau equation with global delayed feedback; 11. Biological Cells; 11.1 Glycolytic Oscillations; 11.2 Dynamical Clustering and Cell Differentiation; 11.3 Synchronization of Molecular Machines; 12. Neural Networks; 12.1 Neurons; 12.2 Synchronization in the brain; 12.3 Cross-coupled neural networks. | |
| 546 | |a English. | ||
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| contents | Emergence of Dynamical Order: Synchronization Phenomena in Complex Systems; Contents; Preface; 1. Introduction; Part 1: Synchronization and Clustering of Periodic Oscillators; 2. Ensembles of Identical Phase Oscillators; 2.1 Coupled Periodic Oscillators; 2.2 Global Coupling and Full Synchronization; 2.3 Clustering; 2.4 Other Interaction Models; 3. Heterogeneous Ensembles and the Effects of Noise; 3.1 Transition to Frequency Synchronization; 3.2 Frequency Clustering; 3.3 Fluctuating Forces; 3.4 Time-Delayed Interactions; 4. Oscillator Networks; 4.1 Regular Lattices with Local Interactions. 4.1.1 Heterogeneous ensembles4.2 Random Interaction Architectures; 4.2.1 Frustrated interactions; 4.3 Time Delays; 4.3.1 Periodic linear arrays; 4.3.2 Local interactions with uniform delay; 5. Arrays of Limit-Cycle Oscillators; 5.1 Synchronization of Weakly Nonlinear Oscillators; 5.1.1 Oscillation death due to time delays; 5.2 Complex Global Coupling; 5.3 Non-local Coupling; Part 2: Synchronization and Clustering in Chaotic Systems; 6. Chaos and Synchronization; 6.1 Chaos in Simple Systems; 6.1.1 Lyapunov exponents; 6.1.2 Phase and amplitude in chaotic systems. 6.2 Synchronization of Two Coupled Maps6.2.1 Saw-tooth maps; 6.3 Synchronization of Two Coupled Oscillators; 6.3.1 Phase synchronization; 6.3.2 Lag synchronization; 6.3.3 Synchronization in the Lorenz system; 7. Synchronization in Populations of Chaotic Elements; 7.1 Ensembles of Identical Oscillators; 7.1.1 Master stability functions; 7.1.2 Synchronizability of arbitrary connection topologies; 7.2 Partial Entrainment in Rossler Oscillators; 7.2.1 Phase synchronization; 7.3 Logistic Maps; 7.3.1 Globally coupled logistic maps; 7.3.2 Heterogeneous ensembles; 7.3.3 Coupled map lattices. 8. Clustering8.1 Dynamical Phases of Globally Coupled Logistic Maps; 8.1.1 Two-cluster solutions; 8.1.2 Clustering phase of globally coupled logistic maps; 8.1.3 Turbulent phase; 8.2 Universality Classes and Collective Behavior in Chaotic Maps; 8.3 Randomly Coupled Logistic Maps; 8.4 Clustering in the Rossler System; 8.5 Local Coupling; 9. Dynamical Glasses; 9.1 Introduction to Spin Glasses; 9.2 Globally Coupled Logistic Maps as Dynamical Glasses; 9.3 Replicas and Overlaps in Logistic Maps; 9.4 The Thermodynamic Limit; 9.5 Overlap Distributions and Ultrametricity. Part 3: Selected Applications10. Chemical Systems; 10.1 Arrays of Electrochemical Oscillators; 10.1.1 Periodic oscillators; 10.1.2 Chaotic oscillators; 10.2 Catalytic Surface Reactions; 10.2.1 Experiments with global delayed feedback; 10.2.2 Numerical simulations; 10.2.3 Complex Ginzburg-Landau equation with global delayed feedback; 11. Biological Cells; 11.1 Glycolytic Oscillations; 11.2 Dynamical Clustering and Cell Differentiation; 11.3 Synchronization of Molecular Machines; 12. Neural Networks; 12.1 Neurons; 12.2 Synchronization in the brain; 12.3 Cross-coupled neural networks. |
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| id | ZDB-4-EBA-ocm60690941 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:15:44Z |
| institution | BVB |
| isbn | 981256246X 9789812562463 9789812388032 9812388036 1281347655 9781281347657 9786611347659 6611347658 |
| language | English |
| oclc_num | 60690941 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (ix, 348 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | World Scientific, |
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| series | World Scientific lecture notes in complex systems ; |
| series2 | World Scientific lecture notes in complex systems ; |
| spelling | Manrubia, Susanna C. http://id.loc.gov/authorities/names/no2005015859 Emergence of dynamical order : synchronization phenomena in complex systems / Susanna C. Manrubia, Alexander S. Mikhailov, Damián H. Zanette. River Edge, NJ : World Scientific, ©2004. 1 online resource (ix, 348 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier World Scientific lecture notes in complex systems ; v. 2 Includes bibliographical references (pages 331-344) and index. Print version record. Large populations of interacting active elements, periodic or chaotic, can undergo spontaneous transitions to dynamically ordered states. These collective states are characterized by self-organized coherence revealed by full mutual synchronization of individual dynamics or the formation of multiple synchronous clusters. Such self-organization phenomena are essential for the functioning of complex systems of various origins, both natural and artificial. This book provides a detailed introduction to the theory of collective synchronization phenomena in large complex systems. Transitions to dynamical clustering and synchronized states are systematically discussed. Such concepts as dynamical order parameters, glass like behavior and hierarchical organization are presented. Emergence of Dynamical Order: Synchronization Phenomena in Complex Systems; Contents; Preface; 1. Introduction; Part 1: Synchronization and Clustering of Periodic Oscillators; 2. Ensembles of Identical Phase Oscillators; 2.1 Coupled Periodic Oscillators; 2.2 Global Coupling and Full Synchronization; 2.3 Clustering; 2.4 Other Interaction Models; 3. Heterogeneous Ensembles and the Effects of Noise; 3.1 Transition to Frequency Synchronization; 3.2 Frequency Clustering; 3.3 Fluctuating Forces; 3.4 Time-Delayed Interactions; 4. Oscillator Networks; 4.1 Regular Lattices with Local Interactions. 4.1.1 Heterogeneous ensembles4.2 Random Interaction Architectures; 4.2.1 Frustrated interactions; 4.3 Time Delays; 4.3.1 Periodic linear arrays; 4.3.2 Local interactions with uniform delay; 5. Arrays of Limit-Cycle Oscillators; 5.1 Synchronization of Weakly Nonlinear Oscillators; 5.1.1 Oscillation death due to time delays; 5.2 Complex Global Coupling; 5.3 Non-local Coupling; Part 2: Synchronization and Clustering in Chaotic Systems; 6. Chaos and Synchronization; 6.1 Chaos in Simple Systems; 6.1.1 Lyapunov exponents; 6.1.2 Phase and amplitude in chaotic systems. 6.2 Synchronization of Two Coupled Maps6.2.1 Saw-tooth maps; 6.3 Synchronization of Two Coupled Oscillators; 6.3.1 Phase synchronization; 6.3.2 Lag synchronization; 6.3.3 Synchronization in the Lorenz system; 7. Synchronization in Populations of Chaotic Elements; 7.1 Ensembles of Identical Oscillators; 7.1.1 Master stability functions; 7.1.2 Synchronizability of arbitrary connection topologies; 7.2 Partial Entrainment in Rossler Oscillators; 7.2.1 Phase synchronization; 7.3 Logistic Maps; 7.3.1 Globally coupled logistic maps; 7.3.2 Heterogeneous ensembles; 7.3.3 Coupled map lattices. 8. Clustering8.1 Dynamical Phases of Globally Coupled Logistic Maps; 8.1.1 Two-cluster solutions; 8.1.2 Clustering phase of globally coupled logistic maps; 8.1.3 Turbulent phase; 8.2 Universality Classes and Collective Behavior in Chaotic Maps; 8.3 Randomly Coupled Logistic Maps; 8.4 Clustering in the Rossler System; 8.5 Local Coupling; 9. Dynamical Glasses; 9.1 Introduction to Spin Glasses; 9.2 Globally Coupled Logistic Maps as Dynamical Glasses; 9.3 Replicas and Overlaps in Logistic Maps; 9.4 The Thermodynamic Limit; 9.5 Overlap Distributions and Ultrametricity. Part 3: Selected Applications10. Chemical Systems; 10.1 Arrays of Electrochemical Oscillators; 10.1.1 Periodic oscillators; 10.1.2 Chaotic oscillators; 10.2 Catalytic Surface Reactions; 10.2.1 Experiments with global delayed feedback; 10.2.2 Numerical simulations; 10.2.3 Complex Ginzburg-Landau equation with global delayed feedback; 11. Biological Cells; 11.1 Glycolytic Oscillations; 11.2 Dynamical Clustering and Cell Differentiation; 11.3 Synchronization of Molecular Machines; 12. Neural Networks; 12.1 Neurons; 12.2 Synchronization in the brain; 12.3 Cross-coupled neural networks. English. Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 System analysis. Systems Analysis https://id.nlm.nih.gov/mesh/D013597 Physique mathématique. Analyse de systèmes. systems analysis. aat SCIENCE System Theory. bisacsh TECHNOLOGY & ENGINEERING Operations Research. bisacsh Mathematical physics fast System analysis fast Mikhailov, A. S. (Alexander S.), 1950- https://id.oclc.org/worldcat/entity/E39PCjvWkMgVgxQbyryfVFYcCP http://id.loc.gov/authorities/names/n90663276 Zanette, Damian, 1963- https://id.oclc.org/worldcat/entity/E39PCjw8vX6TT67FhdpYxQ6PKm http://id.loc.gov/authorities/names/n98109410 Print version: Manrubia, Susanna C. Emergence of dynamical order. River Edge, NJ : World Scientific, ©2004 9812388036 (OCoLC)55992067 World Scientific lecture notes in complex systems ; v. 2. http://id.loc.gov/authorities/names/no2004014112 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=130037 Volltext |
| spellingShingle | Manrubia, Susanna C. Emergence of dynamical order : synchronization phenomena in complex systems / World Scientific lecture notes in complex systems ; Emergence of Dynamical Order: Synchronization Phenomena in Complex Systems; Contents; Preface; 1. Introduction; Part 1: Synchronization and Clustering of Periodic Oscillators; 2. Ensembles of Identical Phase Oscillators; 2.1 Coupled Periodic Oscillators; 2.2 Global Coupling and Full Synchronization; 2.3 Clustering; 2.4 Other Interaction Models; 3. Heterogeneous Ensembles and the Effects of Noise; 3.1 Transition to Frequency Synchronization; 3.2 Frequency Clustering; 3.3 Fluctuating Forces; 3.4 Time-Delayed Interactions; 4. Oscillator Networks; 4.1 Regular Lattices with Local Interactions. 4.1.1 Heterogeneous ensembles4.2 Random Interaction Architectures; 4.2.1 Frustrated interactions; 4.3 Time Delays; 4.3.1 Periodic linear arrays; 4.3.2 Local interactions with uniform delay; 5. Arrays of Limit-Cycle Oscillators; 5.1 Synchronization of Weakly Nonlinear Oscillators; 5.1.1 Oscillation death due to time delays; 5.2 Complex Global Coupling; 5.3 Non-local Coupling; Part 2: Synchronization and Clustering in Chaotic Systems; 6. Chaos and Synchronization; 6.1 Chaos in Simple Systems; 6.1.1 Lyapunov exponents; 6.1.2 Phase and amplitude in chaotic systems. 6.2 Synchronization of Two Coupled Maps6.2.1 Saw-tooth maps; 6.3 Synchronization of Two Coupled Oscillators; 6.3.1 Phase synchronization; 6.3.2 Lag synchronization; 6.3.3 Synchronization in the Lorenz system; 7. Synchronization in Populations of Chaotic Elements; 7.1 Ensembles of Identical Oscillators; 7.1.1 Master stability functions; 7.1.2 Synchronizability of arbitrary connection topologies; 7.2 Partial Entrainment in Rossler Oscillators; 7.2.1 Phase synchronization; 7.3 Logistic Maps; 7.3.1 Globally coupled logistic maps; 7.3.2 Heterogeneous ensembles; 7.3.3 Coupled map lattices. 8. Clustering8.1 Dynamical Phases of Globally Coupled Logistic Maps; 8.1.1 Two-cluster solutions; 8.1.2 Clustering phase of globally coupled logistic maps; 8.1.3 Turbulent phase; 8.2 Universality Classes and Collective Behavior in Chaotic Maps; 8.3 Randomly Coupled Logistic Maps; 8.4 Clustering in the Rossler System; 8.5 Local Coupling; 9. Dynamical Glasses; 9.1 Introduction to Spin Glasses; 9.2 Globally Coupled Logistic Maps as Dynamical Glasses; 9.3 Replicas and Overlaps in Logistic Maps; 9.4 The Thermodynamic Limit; 9.5 Overlap Distributions and Ultrametricity. Part 3: Selected Applications10. Chemical Systems; 10.1 Arrays of Electrochemical Oscillators; 10.1.1 Periodic oscillators; 10.1.2 Chaotic oscillators; 10.2 Catalytic Surface Reactions; 10.2.1 Experiments with global delayed feedback; 10.2.2 Numerical simulations; 10.2.3 Complex Ginzburg-Landau equation with global delayed feedback; 11. Biological Cells; 11.1 Glycolytic Oscillations; 11.2 Dynamical Clustering and Cell Differentiation; 11.3 Synchronization of Molecular Machines; 12. Neural Networks; 12.1 Neurons; 12.2 Synchronization in the brain; 12.3 Cross-coupled neural networks. Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 System analysis. Systems Analysis https://id.nlm.nih.gov/mesh/D013597 Physique mathématique. Analyse de systèmes. systems analysis. aat SCIENCE System Theory. bisacsh TECHNOLOGY & ENGINEERING Operations Research. bisacsh Mathematical physics fast System analysis fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082129 https://id.nlm.nih.gov/mesh/D013597 |
| title | Emergence of dynamical order : synchronization phenomena in complex systems / |
| title_auth | Emergence of dynamical order : synchronization phenomena in complex systems / |
| title_exact_search | Emergence of dynamical order : synchronization phenomena in complex systems / |
| title_full | Emergence of dynamical order : synchronization phenomena in complex systems / Susanna C. Manrubia, Alexander S. Mikhailov, Damián H. Zanette. |
| title_fullStr | Emergence of dynamical order : synchronization phenomena in complex systems / Susanna C. Manrubia, Alexander S. Mikhailov, Damián H. Zanette. |
| title_full_unstemmed | Emergence of dynamical order : synchronization phenomena in complex systems / Susanna C. Manrubia, Alexander S. Mikhailov, Damián H. Zanette. |
| title_short | Emergence of dynamical order : |
| title_sort | emergence of dynamical order synchronization phenomena in complex systems |
| title_sub | synchronization phenomena in complex systems / |
| topic | Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 System analysis. Systems Analysis https://id.nlm.nih.gov/mesh/D013597 Physique mathématique. Analyse de systèmes. systems analysis. aat SCIENCE System Theory. bisacsh TECHNOLOGY & ENGINEERING Operations Research. bisacsh Mathematical physics fast System analysis fast |
| topic_facet | Mathematical physics. System analysis. Systems Analysis Physique mathématique. Analyse de systèmes. systems analysis. SCIENCE System Theory. TECHNOLOGY & ENGINEERING Operations Research. Mathematical physics System analysis |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=130037 |
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