| Exam Preparation - Past exam papers |
 2024-25 exam |
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2024-25 Exam Solutions |
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2023-24 exam |
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2023-24 exam SOLUTIONS |
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2022-23 exam |
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2016-17 exam |
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2016-17 exam SOLUTIONS |
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2021-22 exam |
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2015-16 exam |
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2015-16 exam SOLUTIONS |
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2014-15 exam |
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2014-15 exam SOLUTIONS |
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2013-14 exam |
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2013-14 exam SOLUTIONS |
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| Week 1: Dynamical systems |
Exercise Sheet 1 |
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Solution sheet 1 |
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Lecture Notes Week 1 |
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| Week 2: Basin of attraction, attracting and repelling periodic points |
Lecture Notes Week 2 |
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| Week 3: Diffeomorphisms of R |
Lecture Notes Week 3 |
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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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Lecture Notes Week 4 |
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| Week 5: Sharkovskii's Theorem, Logistic maps, period-doubling |
Lecture Notes Week 5 |
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| Week 6: Topological conjugacy, symbolic dynamics |
Exercise Sheet 3 |
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Solution sheet 3 (full solutions) |
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Solution sheet 3 (topological conjugacy) |
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Lecture Notes Week 6 |
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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 |
Exercise Sheet 7 |
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Solution sheet 7 |
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Week 11 Lecture Notes |
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| Reading List Online |
Some books related to Chaos & Fractals |
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