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arxiv: 1305.6708 · v3 · pith:TTVT2Y64new · submitted 2013-05-29 · 🌊 nlin.CD

On the fractal dimension of the Duffing attractor

classification 🌊 nlin.CD
keywords dimensionapproxattractorfractalnumberpointschangecorrelation
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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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