Use of correlation dimension function in dynamic systems
Proceedings of the 1997 IEEE International Symposium on Intelligent Control, İstanbul, Türkiye, 16 - 18 Temmuz 1997, ss.379-382, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.379-382
- İstanbul Medipol Üniversitesi Adresli: Evet
Özet
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.