On Bifurcation Delay: An Alternative Approach Using Geometric Singular Perturbation Theory

Ting-Hao Hsu

To explain the phenomenon of bifurcation delay, which occurs in planar systems of the form $\dot{x}=\epsilon f(x,z,\epsilon )$, $\dot{z}=g(x,z,\epsilon )z$, where $f(x,0,0)>0$ and $g(x,0,0)$ changes sign…