Cargando…
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
River Edge, NJ :
World Scientific,
©2004.
|
| Colección: | World Scientific lecture notes in complex systems ;
v. 2. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.