Bifurcation Theory - Saddle-Node, Hopf, Transcritical, Pitchfork

Bifurcation Theory - Saddle-Node, Hopf, Transcritical, Pitchfork

Ross Dynamics Lab via YouTube Direct link

transcritical bifurcation,

4 of 7

4 of 7

transcritical bifurcation,

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Bifurcation Theory - Saddle-Node, Hopf, Transcritical, Pitchfork

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  1. 1 Local Bifurcation Theory
  2. 2 System in n dimensions, only look at center manifold directions
  3. 3 saddle-node bifurcation,
  4. 4 transcritical bifurcation,
  5. 5 pitchfork bifurcation,
  6. 6 period-doubling bifurcation for maps, related to the period doubling cascade (it's like a pitchfork bifurcation for maps)
  7. 7 Hopf bifurcation for vector fields and maps, the generation of periodic orbits out of fixed points

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