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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 equationX t+1=λX 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.

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  1. Computer Science Department, IBM Thomas J. Watson Research Center, 10598, Yorktown Heights, NY, USA

    Clifford A. Pickover

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  1. Clifford A. Pickover
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Pickover, C.A. The use of image processing techniques in rendering maps with deterministic chaos. The Visual Computer 4, 271–276 (1988). https://doi.org/10.1007/BF01901282

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  • DOI: https://doi.org/10.1007/BF01901282

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