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Proceedings of the 1997 IEEE International Symposium on Intelligent Control, İstanbul, Turkey, 16 - 18 July 1997, pp.379-382, (Full Text)
A single fractal number cannot fully describe the complex structure of a strange attractor embedded in phase space of dynamic systems. Hence, it is essential to seek a procedure through which fractal dimension provides more information about the underlying dynamic system. In order to serve such a purpose correlation integrals are calculated at every row or off-diagonal from the distance matrix obtained from a set of points on a strange attractor. Slope of each integral is plotted versus the number of row or off-diagonal considered in the calculation. Hence, an asymptotic convergence to correlation dimension is obtained in this manner. More information is revealed for the dynamic system including its lacunarity.