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Published online by Cambridge University Press: 05 June 2013
In this paper, we study the dynamics of the two-parameter family of rational maps We give the topological description of Julia sets and Fatou components of $$\begin{eqnarray*}{F}_{a, b} (z)= {z}^{n} + \frac{a}{{z}^{n} } + b.\end{eqnarray*}$$
${F}_{a, b} $ according to the dynamical behavior of the orbits of its free critical points.