• To introduce simple complex iterative maps.

  • To introduce Julia sets and the Mandelbrot set.

  • To carry out some analysis on these sets.


Periodic Orbit Unit Circle Unstable Fixed Point Argand Diagram Animate Discussion 


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Recommended Reading and Viewing

  1. 1.
    R. L. Devaney, The Mandelbrot and Julia Sets: A Tool Kit of Dynamics Activities, Key Curriculum Press, Emeryville, CA, 2002.Google Scholar
  2. 2.
    G W. Flake, The Computational Beauty of Nature: Computer Explorations of Fractals, MIT Press, Cambridge, MA, 1998.MATHGoogle Scholar
  3. 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. 4.
    H.-O. Peitgen, H. Jürgens, and D. Saupe, Chaos and Fractals: New Frontiers of Science, Springer-Verlag, New York, 1992.Google Scholar
  5. 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
  6. 6.
    H.-O. Peitgen and R H. Richter, The Beauty of Fractals, Springer-Verlag, New York, 1986.CrossRefMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Stephen Lynch
    • 1
  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

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