“…Among others, low-dimensional dissipative dynamical systems constitute one class of such examples. Indeed, nonextensive thermostatistics has been shown to be connected to the sensitivity properties of low-dimensional dissipative maps [3][4][5][6][7][8][9][10][11]. More precisely, the numerical analysis of such systems (i.e., logistic map [3], logistic-like maps [4], circular maps [7], asymmetric logistic maps [8], single-site map [9], Henon map [10]), as well as a very recent analytical treatment [11], have shown that, at the critical points such as the chaos threshold, tangent bifurcations, etc., the standard type of sensitivity to the initial conditions, given by the sensitivity function…”