Using Chaos to Generate Choreographic Variations

Abstract

We describe a method for introducing variations into predefined dance sequences using a chaotic mapping. A symbol sequence representing a dance piece is mapped onto a chaotic trajectory, establishing a symbolic dynamics that links the dance sequence and the attractor structure. A choreographic variation on the original piece is created by generating a trajectory with slightly different initial conditions, inverting the mapping, and using special corpus-based 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 esthetic and mathematical senses.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1997
Accession Number
ADA451993

Entities

People

  • Elizabeth Bradley
  • Joshua M Stuart

Organizations

  • University of Colorado Boulder

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Availability
  • Classification
  • Colorado
  • Computer Science
  • Computers
  • Contracts
  • Dynamics
  • Guarantees
  • Information Operations
  • Instructions
  • Interpolation
  • Monitoring
  • Security
  • Sequences
  • Standards
  • Trajectories

Readers

  • Computational Linguistics
  • Wave Propagation and Nonlinear Chaotic Dynamics.