An Introduction to Classical Dynamics
Classically, the subject of discrete complex dynamical systems involves the study of iteration of polynomial and rational maps on ℂ or ℙ1 (ℂ). The local theory of analytic iteration dates back to the 19th century, but the modern theory of global complex dynamics starts with the foundational works of Fatou ,  and Julia  in 1918–1920. From that beginning has arisen a vast literature.
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