Characterization of intermittency in hierarchy of chaotic maps with invariant measure

We introduce a type-I intermittent behavior happening in one-dimensional nonlinear chaotic maps with the interesting property of being ergodic or having stable period-one fixed point. These maps bifurcate from a stable to a chaotic state without having usual period-doubling or period-n-tupling scenarios. The study of the intermittent behavior is expanded via detailed derivation of q-generalized Lyapunov exponents λ_q in order to study the different types of sensitivity ξ_t . Finally, the Rényi dimension of a sample map is calculated via numerical methods and its relation with type-I intermittency is discussed.