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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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Complex Iterative Maps

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  • 发表日期：

    2025年

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  • Stephen Lynch

摘要

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).