cycle, thus the origin of the name “strange attractor” (Ruelle and Takens, 1971). It was James Yorke that first named these dynamics “chaos” (Li and Yorke, 1975). The necessarily statistical properties of the chaotic orbits on strange attractors follow from the generic characteristics of their motions (

IGHT_013769 --- PAGE BREAK --- Levinson, N. (1949): A second order differential equation with singular solutions.. Ann. Math. 50:127-153 Li, T.Y., Yorke, J.A. (1975): Period three implies chaos. Amer. Math. Mon. 82:985- 992 Liebovitch, L.S. (1989) Analysis of fractal ion channel gating kinetics: kine