Calculation of the Statistical Properties in Intermittency Using the Natural Invariant Density

We use the natural invariant density of map and Perron–Frobenius operator to analytically evaluate statistical properties for chaotic intermittency. This study can be understood as an improvement previous ones because it does not introduce assumptions about reinjection probability function in laminar interval or at pre-reinjection points. To validate new theoretical equations, we a symmetric non-symmetric one. The cusp has symmetry x=0, but Manneville no symmetry. carry out several comparisons between equations here presented, M methodology, classical theory intermittency, numerical data. show more accuracy than those calculated with other techniques.