Complex Iterative Maps
To introduce simple complex iterative maps.
To introduce Julia sets and the Mandelbrot set.
To carry out some analysis on these sets.
KeywordsPeriodic Orbit Unit Circle Unstable Fixed Point Argand Diagram Animate Discussion
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.
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Recommended Reading and Viewing
- 1.R. L. Devaney, The Mandelbrot and Julia Sets: A Tool Kit of Dynamics Activities, Key Curriculum Press, Emeryville, CA, 2002.Google Scholar
- 3.H.-O. Peitgen (ed.), E. M. Maletsky, H. Jürgens, T. Perciante, D. Saupe, and L. Yunker, Fractals for the Classroom: Strategic Activities, Vol. 2, Springer-Verlag, New York, 1994.Google Scholar
- 4.H.-O. Peitgen, H. Jürgens, and D. Saupe, Chaos and Fractals: New Frontiers of Science, Springer-Verlag, New York, 1992.Google Scholar
- 5.H.-O. Peitgen, H. Jürgens, D. Saupe, and C Zahlten, Fractals: An Animated Discussion, Spektrum Akademischer Verlag, Heidelberg, 1989; W. H. Freeman, New York, 1990.Google Scholar
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