Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic Intermittency

The traditional theory of chaotic intermittency developed for return maps hypothesizes a uniform density reinjected points from the zone to laminar one. In past few years, we have described how reinjection probability function (RPD) can be generalized as power law function. Here, introduce broad and general analytical approach determine RPD other statistical variables, such characteristic relation traditionally utilized characterize type. proposed theoretical methodology is simple implement includes previous studies particular cases. It compared with numerical data, M methodology, Perron–Frobenius technique, showing high accuracy between them.