Dimension of Strange Attractors

Phys. Rev. Lett. 45, 1175 – Published 6 October 1980
David A. Russell, James D. Hanson, and Edward Ott

Abstract

A relationship between the Lyapunov numbers of a map with a strange attractor and the dimension of the strange attractor has recently been conjectured. Here, the conjecture is numerically tested with use of several different maps, one of which results from a system of ordinary differential equations occurring in plasma physics. For the cases tested, the conjecture is verified to within the obtained accuracy.

DOI: http://dx.doi.org/10.1103/PhysRevLett.45.1175

  • Received 4 August 1980
  • Published in the issue dated 6 October 1980

© 1980 The American Physical Society

Authors & Affiliations

David A. Russell

  • School of Electrical Engineering, Cornell University, Ithaca, New York 14853

James D. Hanson and Edward Ott

  • Laboratory for Plasma and Fusion Energy Studies, University of Maryland, College Park, Maryland 20742

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