Figure 1

The macroscopic mean activity of the CNN.Reuse & Permissions

Figure 2

(Color online) A plot of the correlation dimension (CD), where the model is the NLT of a linear AR model, $\ell$ is 1 and $d$ is 5. (a) relation between estimated CD and shift, and (b) CD of the original data and the distribution of the test data. The horizontal line in panel (a) and longer line in panel (b) correspond to the CD of the original data, the $\times$ and the short lines when $\tau$ is not greater than the embedding window (that is, 1, 2, and 5), and the ◇ and medium lines when $\tau$ is larger than the embedding window (that is, 10, 15, 20, 25, 30, 35, 40, 45, 50, 100, 150, and 200).Reuse & Permissions

Figure 3

(Color online) A plot of the CD, where the model is the Henon map, $\ell$ is 1, and $d$ is 5. The notation is the same as in Fig. 2.Reuse & Permissions

Figure 4

(Color online) A plot of the CD, where the model is the CNN, $\ell$ is 1, and $d$ is 10. The horizontal line in (a) and the longer line in (b) correspond to the CD of the original data, the $\times$ and the short lines when $\tau$ is 1, 2, 5, and 10, and the ◇ and medium lines when $\tau$ is larger than 10.Reuse & Permissions

Figure 5

(Color online) A plot of the CD, (a) NMR laser data and (b) cobalt data, where $\ell$ is 1 and $d$ is 5. The longer line corresponds to the CD of the original data, the short lines when $\tau ⩽5$, and the medium lines when $\tau >5$.Reuse & Permissions