G.
Rowlands
Department of Physics, University of Warwick, Coventry CV47AL,
England
Ref: J. C. Sprott, and G. Rowlands, International Journal of Bifurcation and Chaos 11, 1865-1880 (2001)
The complete paper is available in PDF format.
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Fig. 1. Shapes of general symmetric maps for various alpha
Fig. 2. Probability density for the logistic map with A =
3.8.
Fig. 3. Average measure for the maximum x values for the
Rossler
attractor.
Fig. 4. Plot showing slow convergence of the correlation dimension
for
the logistic map.
Fig. 5. Calculated correlation dimension for the maps in Eq. (3) for
various alpha.
Fig. 6. A measure of the slowness of convergence for the maps in Eq.
(3) for various alpha.
Fig. 7. The Zaslavsky map switches back and forth from 1-D to 2-D
depending
on the scale.
Fig. 8. Convergence of the correlation dimension for the Zaslavsky
map
shows large oscillations.
Fig. 9. Convergence of the correlation dimension for the Rossler
attractor
resembles the logistic map.