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    Chaos. 1998 Dec;8(4):800-807.

    Using chaos to generate variations on movement sequences.

    Source

    Department of Computer Science, University of Colorado, Boulder, Colorado 80309-0430.

    Abstract

    We describe a method for introducing variations into predefined motion sequences using a chaotic symbol-sequence reordering technique. A progression of symbols representing the body positions in a dance piece, martial arts form, or other motion sequence is mapped onto a chaotic trajectory, establishing a symbolic dynamics that links the movement sequence and the attractor structure. A variation on the original piece is created by generating a trajectory with slightly different initial conditions, inverting the mapping, and using special corpus-based graph-theoretic interpolation schemes to smooth any abrupt transitions. Sensitive dependence guarantees that the variation is different from the original; the attractor structure and the symbolic dynamics guarantee that the two resemble one another in both aesthetic and mathematical senses. (c) 1998 American Institute of Physics.

    PMID:
    12779786
    [PubMed - as supplied by publisher]

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