Week 3
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Week 3 overview |
- 5. Stability exponents are invariants of dynamics
- 6. Pinball wizard
- Homework 3
We prove that (i) Floquet multipliers are the same everywhere along a cycle, and (ii) 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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Periodic orbit of the Rössler system |
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Chapter 7 - Fixed points |
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Homework 3 walkthrough |
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Discussion forum for week 3 |