On the fractal dimension of the Duffing attractor

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 $d_G\approx 1.38$.

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

References in corpus (2)

• Physical limit of prediction for chaotic motion of three-body problem
• Chaotic motion of three-body problem : an origin of macroscopic randomness of the universe

Cited by in corpus (3)

• Influence of a second satellite on the rotational dynamics of an oblate moon
• Detection of coupling in Duffing oscillator systems
• Bifurcation Diagrams and Generalized Bifurcation Diagrams for a rotational model of an oblate satellite