Emergent Behavior in Collective Dynamics

Emergent Behavior in Collective Dynamics

Joint Mathematics Meetings via YouTube Direct link

Fundamentals

4 of 26

4 of 26

Fundamentals

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Classroom Contents

Emergent Behavior in Collective Dynamics

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  1. 1 Intro
  2. 2 Examples of emergence with living agents
  3. 3 Examples of emergence in collective dynamics
  4. 4 Fundamentals
  5. 5 Alignment - a paradigm for pairwise interactions
  6. 6 Opinion Dynamics
  7. 7 Rating
  8. 8 Flocking
  9. 9 Swarming
  10. 10 Synchronization
  11. 11 The role communication kernels
  12. 12 Communication kernels (-) - where do they come from
  13. 13 Models of collective dynamics
  14. 14 Anticipation breeds alignment
  15. 15 Collective dynamics — the 3 Zone model
  16. 16 3Zone protocol: on the role of alignment
  17. 17 Questions about alignment dynamics
  18. 18 Large time behavior and connectivity of graph dynamics
  19. 19 Emergent behavior — instability
  20. 20 Large crowd dynamics N
  21. 21 Hydrodynamic description
  22. 22 Energy fluctuations
  23. 23 Hydrodynamic Alignment
  24. 24 Short range interactions - topological kernels
  25. 25 Collective dynamics — different questions arise in different fields
  26. 26 Collective dynamics - different questions and tools arise in different fields Biology - The role of empirical data

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