ABSTRACT
Present Results Introducing the q-statistical Complexity The Statistical Complexity can be viewed as a functional [ ]PC that characterizes the probability distribution P associated to the time series generated by the dynamical system under study. It quantifi es not only randomness but also the presence of correlational structures [3-4-10]. This quantity is of the form [22]
1/ , 1
H P S P S p p N
= = − − ∑
(14)
a normalized wavelet q-entropy (NTWE) (see Appendix) and
Numerical Results By recourse to the wavelet statistical complexity JqC , (13), we will be able to characterize the details that pave the road towards the classical limit, accruing additional advantages over the q-entropy description. In obtaining our numerical results we choose 1==== emm qclq ω for the system’s parameters. As for the initial conditions for solving the system (5) we take E= 0.6, i.e., we fi x E and then vary I so as to obtain our different rE -values. Additionally, we have ( ) ( ) 000 == LL and ( ) 00 =A (both in the quantum and the classical instances).
