Intrinsic oscillations in measuring the fractal dimension
Year: 1984
Authors: Badii R., Politi A.
Autors Affiliation: Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, italy
Abstract: In measuring the fractal dimension of a strange attractor, the logarithmic slope of the mean nearest-neighbour distance among n points displays in general an oscillating component. It is shown that such an oscillation is an intrinsic effect, and that even strictly self-similar sets exhibit slope oscillations. The Zaslavsky attractor is studied as a representative example of this phenomenon. Finally, an analytic explanation in terms of the Lyapunov exponents is given for a simplified model.
Journal/Review: PHYSICS LETTERS A
Volume: 104 (6/7) Pages from: 303 to: 305
KeyWords: fractals; oscillations; DOI: 10.1016/0375-9601(84)90801-6Citations: 59data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-10References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here