Bifurcations in 2D, Part 1 - Introduction, Saddle-Node, Pitchfork, Examples

Bifurcations in 2D, Part 1 - Introduction, Saddle-Node, Pitchfork, Examples

Ross Dynamics Lab via YouTube Direct link

Pitchfork and transcritical bifurcations in 2D

7 of 7

7 of 7

Pitchfork and transcritical bifurcations in 2D

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Classroom Contents

Bifurcations in 2D, Part 1 - Introduction, Saddle-Node, Pitchfork, Examples

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  1. 1 Introduction to bifurcations of fixed points in 2D
  2. 2 Saddle-node bifurcation in 2D intro
  3. 3 Ghosts of fixed points and bottlenecks in phase space
  4. 4 Saddle-node bifurcation based on nullcline intersections
  5. 5 Saddle-node example, genetic regulatory network
  6. 6 Bifurcations occur along 1-dimensional center manifold
  7. 7 Pitchfork and transcritical bifurcations in 2D

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