Complex Iterative Maps

Stephen Lynch ()
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Stephen Lynch: Manchester Metropolitan University, Department of Computing and Mathematics

Chapter 13 in Dynamical Systems with Applications using Maple¿, 2010, pp 297-307 from Springer

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 Maple programs; • determine boundaries of points with low periods; • find basins of attraction (or domains of stability).

Keywords: Periodic Orbit; Unit Circle; Initial Point; Maple Program; Perseus Book (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-8176-4605-9_14

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