Special Session 5: Scientific Computation and Numerical Algorithms

Bifurcation Phenomena in Quadratic Rational Maps

Scott Kaschner
Butler University
USA
Co-Author(s):    
Abstract:
This talk will survey known results regarding bifurcation in a family, $\{f_{\lambda,t}\}_{t\in\mathbb C}$, of quadratic rational maps with a fixed point multiplier of $\lambda$; similar phenomena in another family will be presented. We will also discuss variety of attempts to describe resonance phenomena in these bifurcations.