Week 7
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Week 7 overview |
- 13. The spatial ordering of trajectories from the time ordered itineraries
- 14. Qualitative dynamics, for cyclists
- Homework 7
- Optional
Qualitative dynamics: (i) temporal ordering, or itinerary with which a trajectory visits state space regions and (ii) the spatial ordering between trajectory points, the key to determining the admissibility of an orbit with a prescribed itinerary. Kneading theory.
Dynamical partitioning of a plane. Stable/unstable invariant manifolds, and how they partition the state space in intrinsic, topologically invariant manner. Henon map is the simplest example.
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Charting the state space |
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Discussion forum for week 7 |
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Chapter Charting the state space Study sect. 14.6 Symbolic dynamics, basic notions. |
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Chaos VI - Smale in Copacabana CHAOS, a math movie with nine 13-minute chapters |