Conclusions

In spite of Webber's assertion we do not observe any difference in the $S(k_3)$ graph neither for high embedding dimension, $d>9$, nor the lower ones, $2<d<10$. $S(k_3)$ shows a direct proportionality with the maximum Lyapunov exponent measured by other methods [14]. By the observation of the $S(k_3)$, its behavior indicates the chaotic transition because it is directly related with the maximum Lyapunov exponent besides an affine mapping. This is in agreement with Eckman et al. [1] statements. Moreover, the algorithms developed and used in this work allow us a systematic RQA analysis efficiently.