UsefulLinks
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
19.
Computational Methods
19.1.
Numerical Integration
19.1.1.
Runge-Kutta Methods
19.1.2.
Adaptive Step Size
19.1.3.
Symplectic Integrators
19.1.4.
Error Analysis
19.2.
Bifurcation Analysis Software
19.2.1.
AUTO
19.2.2.
MATCONT
19.2.3.
PyDSTool
19.3.
Chaos Detection Algorithms
19.3.1.
Lyapunov Exponent Calculation
19.3.2.
Poincaré Section Construction
19.3.3.
Fractal Dimension Estimation
19.4.
Visualization Techniques
19.4.1.
Phase Portrait Generation
19.4.2.
Bifurcation Diagram Construction
19.4.3.
Attractor Visualization
19.4.4.
Time Series Plotting

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18. Applications in Economics and Social Sciences

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1. Introduction to Dynamical Systems

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