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  • 1
    Electronic Resource
    Electronic Resource
    A note on inverted mandelbrot sets (1990)
    Springer
    The visual computer 6 (1990), S. 227-229 
    Details
    ISSN: 1432-2315
    Keywords: Key words ; Chaos ; Fractals ; Computer art
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract A simple technique is described for demonstrating artistically interesting behavior in chaotic systems defined by complex dynamics. In particular, the Mandelbrot set for the iterative process $$\zeta \to \zeta ^p + (1/u)^p $$ is explored.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02341047
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Symmetry, beauty and chaos in Chebyshev's paradise (1988)
    Springer
    The visual computer 4 (1988), S. 142-147 
    Details
    ISSN: 1432-2315
    Keywords: Chaos ; Computer art ; Symmetry ; Dynamical systems ; Numerical analysis ; Experimental mathematics ; Iteration ; Computer graphics ; Fractals ; Newton's method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Chebyshev polynomials and Halley maps are used as a reservoir for the generation of several visually striking and intricate classes of symmetrical and chaotic patterns. Relatively simple numerical recipes are included to encourage reader involvement.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01908897
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The use of image processing techniques in rendering maps with deterministic chaos (1988)
    Springer
    The visual computer 4 (1988), S. 271-276 
    Details
    ISSN: 1432-2315
    Keywords: Chaos ; Computer art ; Symmetry ; Dynamical systems ; Bifurcation ; Experimental mathematics ; Herations ; Computer graphics ; Fractals ; Attractors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01901282
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Chaotic behavior of the transcendental mapping (Z→cosh (Z)+μ) (1988)
    Springer
    The visual computer 4 (1988), S. 243-246 
    Details
    ISSN: 1432-2315
    Keywords: Chaos ; Computer art ; Symmetry ; Dynamical systems ; Complex variables ; Experimental mathematics ; Iteration ; Computer graphics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract This note presents graphically interesting behavior in chaotic systems defined by iterates of the transcendental function (z→cosh (z)+μ).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01901279
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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