On The Dynamics Of The Rational Family ${\mathbf{f}}_{\mathbf{t}}(\mathbf{z})=-\frac{\mathbf{t}}{4}\frac{({\mathbf{z}}^2-2{)}^2}{{\mathbf{z}}^2-1}$

Hye Gyong Jang, Norbert Steinmetz

In this paper we discuss the dynamics as well as the structure of the parameter space of the one-parameter family of rational maps $\ds f_t(z)=-\frac{t}{4}\frac{(z^{2}-2)^{2}}{z^{2…