Classifying and Quantifying Basins of Attraction
J. C. Sprott and Anda Xiong
Physics Department, University
of Wisconsin - Madison, 1150 University Avenue, Madison,
Wisconsin 53706, USA
Received 16 April 2015; accepted 20 July 2015; published online 3
A scheme is proposed to classify the basins for attractors of
dynamical systems in arbitrary dimensions. There are four basic
classes depending on their size and extent, and each class can be
further quantified to facilitate comparisons. The calculation uses a
Monte Carlo method and is applied to numerous common dissipative
chaotic maps and flows in various dimensions.
Ref: J. C. Sprott and A. Xiong, Chaos
25, 083101-1 - 083101-7
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