The additivity of the pseudo-additive conditional entropy for a proper Tsallis’ entropic index

For Tsallis’ entropic analysis to the time evolutions of standard logistic map at the Feigenbaum critical point, it is known that there exists a unique value q* of the entropic index such that the asymptotic rate Kq≡limt→∞ {Sq(t)−Sq(0)}/t of increase in Sq(t) remains finite whereas Kq vanishes (diverges) for q>q* (q