Abstract
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 [166], [167] and Julia [223] in 1918–1920. From that beginning has arisen a vast literature.
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© 2007 Springer Science+Business Media, LLC
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Silverman, J.H. (2007). An Introduction to Classical Dynamics. In: The Arithmetic of Dynamical Systems. Graduate Texts in Mathematics, vol 241. Springer, New York, NY. https://doi.org/10.1007/978-0-387-69904-2_2
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DOI: https://doi.org/10.1007/978-0-387-69904-2_2
Publisher Name: Springer, New York, NY
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