Given a rational map $ f:\\widehat{\\mathbb{C}}\\rightarrow \\widehat{\\mathbb{C}} $, where $ \\widehat{\\mathbb{C}}= \\mathbb{C} \\cup \\lbrace \\infty\\rbrace$ denotes the Riemann sphere, we consider the dynamical system given by the iterates of $ f $. The Riemann sphere splits into two totally f-invariant subsets: the Fatou set $ \\mathcal{F}(f) $, which is defined to be the set of points $ z\\in \\widehat{\\mathbb{C}} $ where the family $\\lbrace f^{n}, n\\in \\mathbb{N} \\rbrace$ is normal in some neighborhood of $ z $, and its complement, the Julia set $ \\mathcal{J}(f) $. The dynamics of the points in $ \\mathcal{F}(f) $ are stable in the sense of normality or equicontinuity whereas the dynamics in $ \\mathcal{J}(f) $ present chaotic behavior. The Fatou set is open and its connected components, called Fatou components, are mapped under $ f $ among themselves.