Publication
Physics Letters A
Paper

Intrinsic oscillations in measuring the fractal dimension

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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. © 1984.

Date

10 Sep 1984

Publication

Physics Letters A

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