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1. Introduction to Dynamical Systems
2. Mathematical Foundations
3. Modeling with Dynamical Systems
4. One-Dimensional Continuous Systems
5. One-Dimensional Discrete Systems
6. Two-Dimensional Linear Systems
7. Two-Dimensional Nonlinear Systems
8. Bifurcation Theory
9. Chaos Theory
10. Numerical Methods and Computational Analysis
11. Applications in Biology
12. Applications in Physics and Engineering
13. Applications in Chemistry
14. Applications in Economics and Social Sciences
15. Advanced Topics
  1. Systems Science

Dynamical Systems Modeling and Analysis

1. Introduction to Dynamical Systems
2. Mathematical Foundations
3. Modeling with Dynamical Systems
4. One-Dimensional Continuous Systems
5. One-Dimensional Discrete Systems
6. Two-Dimensional Linear Systems
7. Two-Dimensional Nonlinear Systems
8. Bifurcation Theory
9. Chaos Theory
10. Numerical Methods and Computational Analysis
11. Applications in Biology
12. Applications in Physics and Engineering
13. Applications in Chemistry
14. Applications in Economics and Social Sciences
15. Advanced Topics
  1. Applications in Chemistry
    1. Chemical Kinetics
      1. Reaction Rate Laws
        1. Autocatalytic Reactions
          1. Enzyme Kinetics
          2. Oscillating Reactions
            1. Belousov-Zhabotinsky Reaction
              1. Brusselator Model
                1. Oregonator Model
                2. Pattern Formation
                  1. Turing Patterns
                    1. Spiral Waves
                      1. Chemical Turbulence

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