Marian Mrozek - Combinatorial vs. Classical Dynamics: Recurrence

Marian Mrozek - Combinatorial vs. Classical Dynamics: Recurrence

Applied Algebraic Topology Network via YouTube Direct link

Pseudo Morse decompositions

13 of 15

13 of 15

Pseudo Morse decompositions

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Classroom Contents

Marian Mrozek - Combinatorial vs. Classical Dynamics: Recurrence

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

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