A. Provenzale et al., LUMINOSITY VARIATIONS OF 3C 345 - IS THERE ANY EVIDENCE OF LOW-DIMENSIONAL CHAOS, The Astrophysical journal, 428(2), 1994, pp. 591-598
We analyze the light curve of the optically violent variable quasar 3C
345, with the goal of determining the possible presence of low-dimens
ional chaos in the system dynamics. The results of the phase-space rec
onstruction and of the correlation integral analysis provide a converg
ent, noninteger estimate of the correlation dimension, naively suggest
ing the presence of deterministic chaos. However, we show that this re
sult is generated by the long memory and by the power-law shape of the
power spectrum of the signal, with no relationship to any underlying
chaotic behavior. In fact, the light curve of 3C 345 is consistent wit
h the output of a nonlinear stochastic process, and it is characterize
d by a well-defined intermittent nature.