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arXiv · 1305.6708

On the fractal dimension of the Duffing attractor

Mariusz Tarnopolski
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Abstract

The box counting dimension $d_C$ and the correlation dimension $d_G$ change with the number of numerically generated points forming the attractor. At a sufficiently large number of points the fractal dimension tends to a finite value. The obtained values are $d_C\approx 1.43$ and $d_G\approx 1.38$.

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Mariusz Tarnopolski. 2014-09-12. On the fractal dimension of the Duffing attractor. https://arxiv.org/abs/1305.6708

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