where ,
are computed mod 1 (Kaplan and Yorke
1979). The Kaplan-Yorke map with has correlation
exponent
(Grassberger and Procaccia 1983) and capacity dimension
1.43 (Russell et al. 1980).
Grassberger, P. and Procaccia, I. "Measuring the Strangeness of Strange Attractors." Physica D9, 189-208, 1983.Kaplan,
J. L. and Yorke, J. A. In Functional
Differential Equations and Approximations of Fixed Points: Proceedings, Bonn, July
1978 (Ed. H.-O. Peitgen and H.-O. Walther). Berlin: Springer-Verlag,
p. 204, 1979.Russell, D. A.; Hanson, J. D.; and Ott,
E. "Dimension of Strange Attractors." Phys. Rev. Let.45,
1175-1178, 1980.