• DocumentCode
    1057852
  • Title

    Visualizing chaos: Lyapunov surfaces and volumes

  • Author

    Pickover, C.A.

  • Author_Institution
    IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA
  • Volume
    10
  • Issue
    2
  • fYear
    1990
  • fDate
    3/1/1990 12:00:00 AM
  • Firstpage
    15
  • Lastpage
    19
  • Abstract
    The use of a graphic technique to visualize chaos for a dual-parameter one-dimensional map is described. It involves plotting the Lyapunov exponent with both height and color in a three-dimensional map, as a function of the two parameters. Color is determined using a geographic lookup table. A graphics supercomputer can rotate the map in real time. The technique demonstrates graphically interesting behavior in chaotic systems.<>
  • Keywords
    Lyapunov methods; computer graphics; table lookup; Lyapunov surfaces; chaos visualisation; dual-parameter one-dimensional map; geographic lookup table; graphic technique; volumes; Bifurcation; Biology computing; Chaos; Computer graphics; Equations; Logistics; Physics computing; Surface topography; Table lookup; Visualization;
  • fLanguage
    English
  • Journal_Title
    Computer Graphics and Applications, IEEE
  • Publisher
    ieee
  • ISSN
    0272-1716
  • Type

    jour

  • DOI
    10.1109/38.50669
  • Filename
    50669
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1057852