On the fractal dimension of the Duffing attractor

Mariusz Tarnopolski

On the fractal dimension of the Duffing attractor

Chaotic Dynamics 2014-09-15 v3

Authors: Mariusz Tarnopolski

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 $d_G\approx 1.38$ .

Keywords

Duffing attractor fractal dimension box counting dimension correlation dimension nonlinear dynamics

Cite

@article{arxiv.1305.6708,
  title  = {On the fractal dimension of the Duffing attractor},
  author = {Mariusz Tarnopolski},
  journal= {arXiv preprint arXiv:1305.6708},
  year   = {2014}
}

Comments

10 pages, 5 figures; template changed, introduction and discussion enlarged, references and appendices added; accepted version published in the Romanian Reports of Physics

On the fractal dimension of the Duffing attractor

Abstract

Keywords

Cite

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