Abstract
Aims and Objectives
• To introduce simple complex iterative maps.
• To introduce Julia sets and the Mandelbrot set.
• 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 and the Mandelbrot set using simple MATLAB programs;
• determine boundaries of points with low periods;
• find basins of attraction (or domains of stability).
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References
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Lynch, S. (2014). Complex Iterative Maps. In: Dynamical Systems with Applications using MATLAB®. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-06820-6_4
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DOI: https://doi.org/10.1007/978-3-319-06820-6_4
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