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Dimension of Strange Attractors

Physical Review LettersPublished 6 October 1980
D. A. Russell, J.D. Hanson, Edward Ott
Citations458
SJR quartileQ1
SJR score2.86
SNIP2.41

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.

Keywords

MathematicsPhysics and Astronomy