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Syllabus for Disorder and Chaos
| Week 1 |
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Introduction |
| Dynamical Systems (General Terminology) |
| Dynamical Systems (Dissipation) |
| Logistic and Tent Maps |
| Week 2 |
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Examples of Mathematical Models: Flows and Maps |
| Attractors |
| Life Near a Fixed Point |
| Attractors -- continued |
| Week 3 |
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Fractals |
| Fractals: Experiments and Examples |
| Strange Attractors and Fractals |
| Review |
| Week 4 |
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MIDTERM (Monday of 4th Week) |
| Nature of Randomness |
| Return Maps and Poincare Sections |
| Basins of Attraction |
| Week 5 |
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Many Body Systems |
| Cellular Automata |
| Entropy |
| Thermodynamics |
| Week 6 |
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Random vs. Deterministic |
| Monte Carlo |
| Computer Simulations of Real Systems |
| A-life |
| Review |
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