Non-autonomous Parabolic Bifurcation

Liz Vivas

Let $f(z)=z+z^2+O(z^3)$ and $f_{\epsilon }(z)=f(z)+{\epsilon }^2$. A classical result in parabolic bifurcation in one complex variable is the following: if $N-\frac{\pi }{\epsilon }\to 0$ we obtain $(f_ε)^{N}…