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saddle-node infinite-period bifurcation on a cycle, or SNIPER
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Bifurcations in 2D, Part 4 - Global Bifurcations, Limit Cycle Creation - Homoclinic Bifurcation
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- 1 Introduction
- 2 saddle-node bifurcation of cycles, or fold bifurcation
- 3 saddle-node infinite-period bifurcation on a cycle, or SNIPER
- 4 connection with heartbeat or nerve firing time-series
- 5 homoclinic bifurcation, or saddle-loop
- 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