Critical Intermittency in Random Interval Maps

Abstract Critical intermittency stands for a type of intermittent dynamics in iterated function systems, caused by an interplay superstable fixed point and repelling point. We consider critical systems interval maps demonstrate the existence phase transition when varying probabilities, where absolutely continuous stationary measure changes between finite infinite. discuss further properties this show that its density is not $$L^q$$ L q any $$q>1$$ > 1 . This provides theory alongside well studied Manneville–Pomeau maps, neutral