Week 1: Dynamical systems |
Exercise sheet 1 |
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Solution sheet 1 |
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Week 1 Lecture Notes |
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Week 2: Basin of attraction, attracting and repelling periodic points |
Week 2 Lecture Notes |
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Week 3: Diffeomorphisms of R |
Week 3 Lecture Notes |
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Week 4: Fixed points and periodic orbits of diffeomorphisms |
Exercise Sheet 2 |
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Solution sheet 2 |
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Week 4 Lecture Notes |
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Week 5: Sharkovskii's Theorem, Logistic maps, period-doubling |
Week 5 Lecture Notes |
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Week 6: Topological conjugacy, symbolic dynamics |
Exercise sheet 3 |
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Solution sheet 3 |
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Week 6 Lecture Notes |
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Week 7: Test & consolidation week |
Mid-Term Test SOLUTIONS |
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Week 8: Symbolic coding |
Exercise sheet 4 |
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Solution sheet 4 |
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Week 8 Lecture Notes |
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Week 9: Chaos, Cantor sets, Non-escaping sets |
Exercise sheet 5 |
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Solution sheet 5 |
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Week 9 Lecture Notes |
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Week 10: Cantor sets and fractals |
Exercise Sheet 6 |
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Solution Sheet 6 |
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Week 10 Lecture Notes |
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Week 11: Fractals and Dimension, Iterated Function Systems |
Week 11 Lecture Notes |
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Week 11 Test solutions |
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Week 12: Dimension |
Exercise Sheet 7 |
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Solution sheet 7 |
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Week 12 Lecture Notes |
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Revision Tips for 2024 exam |
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Reading List Online |
Some books related to Chaos & Fractals |
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