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Physics
Applied and Interdisciplinary Physics
Nonlinear Dynamics and Chaos
1. Introduction to Dynamical Systems
2. One-Dimensional Flows
3. Two-Dimensional Flows
4. Higher-Dimensional Systems
5. Introduction to Chaos in Continuous Systems
6. Discrete Dynamical Systems and Maps
7. Universality and Scaling
8. Fractal Geometry
9. Hamiltonian Dynamics and Conservative Systems
10. Synchronization Phenomena
11. Control of Chaos
12. Spatiotemporal Dynamics
13. Time Series Analysis
14. Applications in Physical Sciences
15. Applications in Life Sciences
16. Applications in Chemistry
17. Applications in Engineering
18. Applications in Economics and Social Sciences
19. Computational Methods
10.
Synchronization Phenomena
10.1.
Basic Concepts
10.1.1.
Phase Synchronization
10.1.2.
Complete Synchronization
10.1.3.
Generalized Synchronization
10.1.4.
Lag Synchronization
10.2.
Synchronization of Periodic Oscillators
10.2.1.
Mutual Synchronization
10.2.2.
Forced Synchronization
10.2.3.
Arnold Tongues
10.3.
Synchronization of Chaotic Systems
10.3.1.
Identical Synchronization
10.3.2.
Master-Slave Configuration
10.3.3.
Mutual Synchronization
10.3.4.
Cluster Synchronization
10.4.
Applications
10.4.1.
Biological Synchronization
10.4.2.
Technological Applications
10.4.3.
Network Synchronization
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9. Hamiltonian Dynamics and Conservative Systems
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11. Control of Chaos