On the fractal dimension of the Duffing attractor

摘要

The box counting dimension mathit{d_{C}} and the correlation dimension mathit{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 mathit{d_{C}}pprox 1.43 and mathit{d_{G}}pprox 1.38.