Automata network dynamical systems for construction of fractal objects (Q5950185)

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scientific article; zbMATH DE number 1679889
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English
Automata network dynamical systems for construction of fractal objects
scientific article; zbMATH DE number 1679889

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    Automata network dynamical systems for construction of fractal objects (English)
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    6 August 2002
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    iterated function system
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    fractal set
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    neural network
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    automata network algorithm
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    IFS
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    Until now, the most studied class of fractal sets is the class of attractors associated to iterated function systems. In simulations, only approximations of such attractors are determined. The author proposes an algorithm for building an automata network for a given iterated function system. Moreover, an evolving algebra for description of the automata network dynamical systems is also proposed.NEWLINENEWLINENEWLINEThe presented algorithm is based on a previous neural network algorithm designed by the same author, but the new one is simpler and more efficient.
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