Caption: Figure 2: Box plot representing distribution of (a)
correlation dimension (CD) and (b) largest Lyapunov exponent (LLE) in EEG of encephalopathic patients and EEG of normal subjects.
When m continues to increase, the limit value of v is the
correlation dimension of the system.
Chaotic features such as Lyapunov exponent, correlation integral, and
correlation dimension are computed and combined with a feature vector.
We deploy two tests of chaos: (i) the
Correlation Dimension of Grassberger and Procaccia (1983) and Takens (1984), (ii) and the BDS statistic of Brock, Dechert, and Scheinkman (1987) which are discussed in detail in Adrangi et al.
We estimated the
correlation dimension and the largest Lyapunov exponent in order to estimate the invariants of the attractor.
Taking into account [13], the minimum embedding dimension is once more determined by the closest integer above the
correlation dimension. In this case, this provides the proper minimum embedding dimension [m.sub.min], which in this case possesses the value [m.sub.min] = 2 for wax and lead solder, while it is [m.sub.min] = 2 for gypsum.
By calculating the
correlation dimension of DTG data to ensure that the
correlation dimension will reach saturation status as shown in Figure 3, It is indicated that the nonlinear chaotic characteristics exist in system.
To determine the chaotic dynamics within the stream flows, the
correlation dimension method was applied.
Distance-based fractal measure is the
correlation dimension.