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.

We study the relationship between chaotic behavior and the Central Limit Theorem (CLT) in the Kuramoto model. We calculate sums of angles at equidistant times along deterministic trajectories of single oscillators and we show that, when chaos is sufficiently strong, the Pdfs of the sums tend to...

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)>

In this paper, we have analyzed the nonextensive Tsallis statistical mechanics in the light of Verlinde’s formalism. We have obtained, with the aid of a noncommutative phase–space entropic gravity, a new bound for Tsallis nonextensive (NE) parameter (TNP) that is clearly different from the...

We examine postural sway data using concepts of nonextensive thermostatistics. We show that nonextensive thermostatistical cutoff distributions fit approximately empirically observed distributions of postural sway data. We show that the index of nonextensivity of these cutoff distributions is...