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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 Economics and Social Sciences
    1. Economic Dynamics
      1. Business Cycle Models
        1. Growth Models
          1. Market Dynamics
          2. Game Theory Dynamics
            1. Replicator Dynamics
              1. Evolutionary Stable Strategies
                1. Population Games
                2. Social Dynamics
                  1. Opinion Formation
                    1. Information Spread
                      1. Social Networks

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                    15. Advanced Topics

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