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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
12.
Spatiotemporal Dynamics
12.1.
Pattern Formation
12.1.1.
Turing Patterns
12.1.2.
Reaction-Diffusion Systems
12.1.3.
Convection Patterns
12.1.4.
Spiral Waves
12.2.
Coupled Map Lattices
12.2.1.
Discrete Spatial Systems
12.2.2.
Synchronization Patterns
12.2.3.
Spatiotemporal Chaos
12.3.
Partial Differential Equations
12.3.1.
Kuramoto-Sivashinsky Equation
12.3.2.
Ginzburg-Landau Equation
12.3.3.
Swift-Hohenberg Equation
12.4.
Cellular Automata
12.4.1.
Elementary Cellular Automata
12.4.2.
Complex Behavior from Simple Rules
12.4.3.
Classification of CA Behavior
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11. Control of Chaos
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13. Time Series Analysis