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Emergence of dynamical order [[electronic resource] ] : synchronization phenomena in complex systems / / Susanna C. Manrubia, Alexander S. Mikhailov, Damian H. Zanette
Emergence of dynamical order [[electronic resource] ] : synchronization phenomena in complex systems / / Susanna C. Manrubia, Alexander S. Mikhailov, Damian H. Zanette
Autore Manrubia Susanna C
Pubbl/distr/stampa River Edge, N.J. ; ; London, : World Scientific, 2004
Descrizione fisica 1 online resource (359 p.)
Disciplina 003
Altri autori (Persone) MikhailovA. S <1950-> (Alexander S.)
ZanetteDamian <1963->
Collana World Scientific lecture notes in complex systems
Soggetto topico Mathematical physics
System analysis
Synchronization
Statistical physics
Soggetto genere / forma Electronic books.
ISBN 1-281-34765-5
9786611347659
981-256-246-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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
Bibliography
Record Nr. UNINA-9910450157303321
Manrubia Susanna C  
River Edge, N.J. ; ; London, : World Scientific, 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Emergence of dynamical order [[electronic resource] ] : synchronization phenomena in complex systems / / Susanna C. Manrubia, Alexander S. Mikhailov, Damian H. Zanette
Emergence of dynamical order [[electronic resource] ] : synchronization phenomena in complex systems / / Susanna C. Manrubia, Alexander S. Mikhailov, Damian H. Zanette
Autore Manrubia Susanna C
Pubbl/distr/stampa River Edge, N.J. ; ; London, : World Scientific, 2004
Descrizione fisica 1 online resource (359 p.)
Disciplina 003
Altri autori (Persone) MikhailovA. S <1950-> (Alexander S.)
ZanetteDamian <1963->
Collana World Scientific lecture notes in complex systems
Soggetto topico Mathematical physics
System analysis
Synchronization
Statistical physics
Soggetto genere / forma Electronic books.
ISBN 1-281-34765-5
9786611347659
981-256-246-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 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
Bibliography
Record Nr. UNINA-9910529346903321
Manrubia Susanna C  
River Edge, N.J. ; ; London, : World Scientific, 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui