Abstract
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.
| Original language | English |
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| Pages | 379-382 |
| Number of pages | 4 |
| Publication status | Published - 1997 |
| Event | Proceedings of the 1997 IEEE International Symposium on Intelligent Control - Istanbul, Turk Duration: 16 Jul 1997 → 18 Jul 1997 |
Conference
| Conference | Proceedings of the 1997 IEEE International Symposium on Intelligent Control |
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| City | Istanbul, Turk |
| Period | 16/07/97 → 18/07/97 |