The Visual Computer

, Volume 4, Issue 5, pp 271–276 | Cite as

The use of image processing techniques in rendering maps with deterministic chaos

  • Clifford A. Pickover


Chaos theory involves the study of how complicated behavior can arise in systems which are based on simple rules, and how minute changes in the input of a system can lead to large differences in the output. In this paper, bifurcation maps of the equationXt+1X t [1+X t ]−β are presented, and they reveal a visually striking and intricate class of patterns ranging from stable points, to a bifurcating hierarchy of stable cycles, to apparently random fluctuations.

Key words

Chaos Computer art Symmetry Dynamical systems Bifurcation Experimental mathematics Herations Computer graphics Fractals Attractors 


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Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Clifford A. Pickover
    • 1
  1. 1.Computer Science DepartmentIBM Thomas J. Watson Research CenterYorktown HeightsUSA

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