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The use of image processing techniques in rendering maps with deterministic chaos (Q1112400)

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scientific article; zbMATH DE number 4078312
Language Label Description Also known as
English
The use of image processing techniques in rendering maps with deterministic chaos
scientific article; zbMATH DE number 4078312

    Statements

    title
    The use of image processing techniques in rendering maps with deterministic chaos (English)
    0 references
    publication date
    1988
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    review text
    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 \(X_{t+1}=\lambda X_ t[1+X_ t]^{-\beta}\) 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.
    0 references
    zbMATH Keywords
    computer art
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    dynamical systems
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    experimental mathematics
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    herations
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    computer graphics
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    fractals
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    attractors
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    Chaos
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    bifurcation
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    Identifiers

    DOI
    10.1007/BF01901282
    0 references
    zbMATH DE Number
    4078312
    0 references
     
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