Kaplan-Yorke Map

			(1)
			(2)

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).

REFERENCES:

Grassberger, P. and Procaccia, I. "Measuring the Strangeness of Strange Attractors." Physica D 9, 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.