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

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Abstract

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 equation Xt+1=λXt[1+Xt]-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. © 1988 Springer-Verlag.

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Visual Computer

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