Bifurcations in 2D, Part 4 - Global Bifurcations, Limit Cycle Creation - Homoclinic Bifurcation

Bifurcations in 2D, Part 4 - Global Bifurcations, Limit Cycle Creation - Homoclinic Bifurcation

Ross Dynamics Lab via YouTube Direct link

universal behavior of bifurcations of cycles, a summary of the amplitude and period of the resulting limit cycles as a function of the distance of the parameter from the critical value

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universal behavior of bifurcations of cycles, a summary of the amplitude and period of the resulting limit cycles as a function of the distance of the parameter from the critical value

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Classroom Contents

Bifurcations in 2D, Part 4 - Global Bifurcations, Limit Cycle Creation - Homoclinic Bifurcation

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  1. 1 Introduction
  2. 2 saddle-node bifurcation of cycles, or fold bifurcation
  3. 3 saddle-node infinite-period bifurcation on a cycle, or SNIPER
  4. 4 connection with heartbeat or nerve firing time-series
  5. 5 homoclinic bifurcation, or saddle-loop
  6. 6 universal behavior of bifurcations of cycles, a summary of the amplitude and period of the resulting limit cycles as a function of the distance of the parameter from the critical value

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