Maximum entropy principle does not seem to distinguish between the use of Tsallis and Renyi entropies as either of them may be used to derive similar kind of q-exponential distributions. In this paper, we address the question whether the Renyi entropy is equally suitable to describe those...

We numerically study, at the edge of chaos, the behaviour of the single-site map xt+1=xt−xt/(x2t+γ2), where γ is the map parameter.

The sensitivity to initial conditions and relaxation dynamics of two-dimensional maps are analyzed at the edge of chaos, along the lines of nonextensive statistical mechanics. We verify the dual nature of the entropic index for the Henon map, one (qsen<1) related to its sensitivity to initial condition properties, and the other, graining-dependent (qrel(W)>1), related to its relaxation dynamics...</1)>