The sensitivity of the primary value perturbation, mixing and entropy on dynamical systems (Q1200693)

A kind of important complex dynamical behaviour of dynamical systems is the sensitivity of the primary value perturbation for the systems, i.e. under the primary value perturbation, the larger change of the asymptotic behaviour of the systems occurs, such that there is some analogous stochastic behaviour in the determinate systems. In general, the sensitivity of the primary value perturbation has various descriptions, and it is one of the elemental characteristics of the chaos phenomenon, strange attractors and so on. In this note, we discuss some relations between the primary value perturbation and the two concepts of mixing and entropy in ergodic theory.