Week 3
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Week 3 overview |
- 5. Stability exponents are invariants of dynamics / 20 January 2015 /
- 6. Pinball wizard / 22 January 2015 /
- Homework 3
We prove that (1) Floquet multipliers are the same everywhere along a cycle, and (2) that they are invariant under any smooth coordinate transformation.
The dynamics that we have the best intuitive grasp on is the dynamics of billiards. For billiards, discrete time is altogether natural; a particle moving through a billiard suffers a sequence of instantaneous kicks, and executes simple motion in between.
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Chapter 8 - Billiards |
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Overheads - billiards |
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Billiard dynamics |
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Billiard Poincare sections |
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Billiard Poincare mappings |
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Stability of billiards |
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Periodic orbit of the Rössler system Due 3 February 2015 |
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Chapter 6A - Fixed points |
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Homework 3 walkthrough |
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Discussion forum for week 3 |
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Summary of the course, so far |