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Detecting Bifurcations in Dynamical Systems with Zigzag Persistent Homology

Detecting Bifurcations in Dynamical Systems with Zigzag Persistent Homology

Applied Algebraic Topology Network via YouTube Direct link

Persistence module

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Persistence module

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Detecting Bifurcations in Dynamical Systems with Zigzag Persistent Homology

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  1. 1 Introduction
  2. 2 What is persistent homology
  3. 3 Persistence module
  4. 4 Persistence diagram
  5. 5 Ordered point clouds
  6. 6 Example
  7. 7 Generating the data
  8. 8 Zig Zag example
  9. 9 Zig Zag persistence diagram
  10. 10 Questions
  11. 11 Wrapup

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