Abstract
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To introduce simple complex iterative maps.
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To introduce Julia sets, the Mandelbrot set, and Newton fractals.
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To carry out some analysis on these sets.
On completion of this chapter, the reader should be able to
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carry out simple complex iterations;
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plot Julia sets, the Mandelbrot set, and Newton fractals using simple Python programs;
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determine boundaries of points with low periods;
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find basins of attraction (or domains of stability).
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Lynch, S. (2018). Complex Iterative Maps. In: Dynamical Systems with Applications using Python. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-78145-7_15
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DOI: https://doi.org/10.1007/978-3-319-78145-7_15
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