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 λq in order to study the different types of sensitivity ξt . Finally, the Rényi dimension of a sample map is calculated via numerical methods and its relation with type-I intermittency is discussed.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)