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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
  1. Physics
  2. 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
  1. Spatiotemporal Dynamics
    1. Pattern Formation
      1. Turing Patterns
        1. Reaction-Diffusion Systems
          1. Convection Patterns
            1. Spiral Waves
            2. Coupled Map Lattices
              1. Discrete Spatial Systems
                1. Synchronization Patterns
                  1. Spatiotemporal Chaos
                  2. Partial Differential Equations
                    1. Kuramoto-Sivashinsky Equation
                      1. Ginzburg-Landau Equation
                        1. Swift-Hohenberg Equation
                        2. Cellular Automata
                          1. Elementary Cellular Automata
                            1. Complex Behavior from Simple Rules
                              1. Classification of CA Behavior

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                            13. Time Series Analysis

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