• DocumentCode
    1189412
  • Title

    Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems

  • Author

    Young, Lai-Sang

  • Volume
    30
  • Issue
    8
  • fYear
    1983
  • fDate
    8/1/1983 12:00:00 AM
  • Firstpage
    599
  • Lastpage
    607
  • Abstract
    This is an expository article on the interrelations between three concepts in differentiable dynamical systems: Entropy, Lyapunov exponents, and Hausdorff dimension. The paper begins with an introduction to these concepts and includes a discussion of some recent results.
  • Keywords
    Entropy; Lyapunov methods, nonlinear systems; Nonlinear mathematics; Nonlinear systems; Accuracy; Chaos; Difference equations; Eigenvalues and eigenfunctions; Entropy; Extraterrestrial measurements; H infinity control; Information theory; Mathematical model; Mathematics;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1983.1085395
  • Filename
    1085395