Complex Iterative Maps

Stephen Lynch
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Stephen Lynch: Manchester Metropolitan University

Chapter Chapter 15 in Dynamical Systems with Applications using Python, 2018, pp 385-401 from Springer

Abstract: Abstract To introduce simple complex iterative maps. To introduce Julia sets, the Mandelbrot set, and Newton fractals. To carry out some analysis on these sets. On completion of this chapter, the reader should be able to carry out simple complex iterations; plot Julia sets, the Mandelbrot set, and Newton fractals using simple Python programs; determine boundaries of points with low periods; find basins of attraction (or domains of stability).

Date: 2018
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DOI: 10.1007/978-3-319-78145-7_15

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