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The Dimensions of Strange Attractors: A Survey of Experimental Studies

  • Tormod Riste
  • Kaare Otnes

Abstract

Attractors are objects in multidimensional phase space. Their topology may even so be reconstructed from time-series observations of a single variable. With available techniques, one may also from such observations deduce a dimension for characterization of the attractor. In this paper we review experimental methods and results of such studies for systems that are nonlinearly driven into the chaotic regime. The strange attractors that develop are mostly identified as fractal objects of a single-valued dimension in the range 2–5. We discuss possible reasons for deviations from this behaviour. The relevance of attractors and chaos to disordered spatial structures is discussed.

Keywords

Fractal Dimension Lyapunov Exponent Phase Portrait Chaotic Attractor Strange Attractor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Tormod Riste
    • 1
  • Kaare Otnes
    • 1
  1. 1.Institute for Energy TechnologyKjellerNorway

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