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Combinatorial criterion for periodic orbits
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Classroom Contents
Marian Mrozek - Combinatorial vs. Classical Dynamics: Recurrence
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- 1 Intro
- 2 Combinatorial topology
- 3 Combinatorial vector field (cvf)
- 4 Combinatorial vector fields
- 5 Formal ties?
- 6 Combinatorial multivector field (cmvf)
- 7 Admissibility
- 8 Combinatorial dynamics from flows
- 9 Combinatorial criterion for periodic orbits
- 10 Van der Pol equations
- 11 Chaotic isolated invariant set
- 12 Combinatorial model in 3D
- 13 Pseudo Morse decompositions
- 14 Conclusions
- 15 Topological invariants in combinatorial dynamics
