Singular perturbations of complex polynomials
Singular perturbations of complex polynomials
In this paper we describe the dynamics of singularly perturbed complex polynomials. That is, we start with a complex polynomial whose dynamics are well understood. Then we perturb this map by adding a pole, i.e., by adding in a term of the form $\lambda /(z-a)^d$ where the parameter $\lambda$ is …