Advertisement

Complex Iterative Maps

  • Stephen Lynch
Chapter

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

Personalised recommendations