PRACTICAL CONSIDERATIONS ON THE CALCULATION OF THE UNCERTAINTY EXPONENT AND THE FRACTAL DIMENSION OF BASIN BOUNDARIES

1 June 1991

journal article
Published by World Scientific Pub Co Pte Ltd in International Journal of Bifurcation and Chaos

Vol. 1 (2) , 327-333
https://doi.org/10.1142/s0218127491000245

Abstract

The calculation of the uncertainty exponent as defined in Grebogi et al. [1983] is examined in detail, and it is modified to provide a more robust estimate of the fractal dimension of basin boundaries. Practical considerations of using the uncertainty exponent method are provided.

Keywords

PRACTICAL CONSIDERATIONS
UNCERTAINTY EXPONENT
BASIN BOUNDARIES
FRACTAL DIMENSION
ROBUST

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