Intermittent two-point dynamics at the transition to chaos for random circle endomorphisms

Abstract

We establish the existence of intermittent two-point dynamics and infinite stationary measures for a class of random circle endomorphisms with zero Lyapunov exponent, as a dynamical characterisation of the transition from synchronisation (negative Lyapunov exponent) to chaos (positive Lyapunov exponent).

53 pages, 3 figures