64 citations · 531 across the 31 of their papers we have counts for
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Correlation between the Hurst exponent and the maximal Lyapunov exponent: examining some low-dimensional conservative maps
Mariusz Tarnopolski
The Chirikov standard map and the 2D Froeschlé map are investigated. A few thousand values of the Hurst exponent (HE) and the maximal Lyapunov exponent (mLE) are plotted in a mixed…
Nonlinear time series analysis of Hyperion's rotation: photometric observations and numerical simulations
Mariusz Tarnopolski
The case of Hyperion has been studied excesively due to the fact it is the largest known celestial body of a highly aspherical shape. It also has a low mass density and remains in…
Bifurcation Diagrams and Generalized Bifurcation Diagrams for a rotational model of an oblate satellite
Mariusz Tarnopolski
This paper presents bifurcation and generalized bifurcation diagrams for a rotational model of an oblate satellite. Special attention is paid to parameter values describing one of…
On the fractal dimension of the Duffing attractor
Mariusz Tarnopolski
The box counting dimension and the correlation dimension change with the number of numerically generated points forming the attractor. At a sufficiently large number of…