Complex Iterative Maps

Stephen Lynch
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Stephen Lynch: Manchester Metropolitan University School of Computing, Mathematics & Digital Technology, Department of Computing and Mathematics

Chapter Chapter 4 in Dynamical Systems with Applications using MATLAB®, 2014, pp 67-78 from Springer

Abstract: 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).

Keywords: Julia Set; FontSize; Xmin Xmax; MarkerSize; Unstable Periodic Points (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-06820-6_4

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