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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
14.
Applications in Economics and Social Sciences
14.1.
Economic Dynamics
14.1.1.
Business Cycle Models
14.1.2.
Growth Models
14.1.3.
Market Dynamics
14.2.
Game Theory Dynamics
14.2.1.
Replicator Dynamics
14.2.2.
Evolutionary Stable Strategies
14.2.3.
Population Games
14.3.
Social Dynamics
14.3.1.
Opinion Formation
14.3.2.
Information Spread
14.3.3.
Social Networks
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13. Applications in Chemistry
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15. Advanced Topics