Let X be a compact metric space studies some relationships between stochastic and f : X→ X be a continuous map. This paper and topological properties of dynamical systems. It is shown that if f satisfies the central...Let X be a compact metric space studies some relationships between stochastic and f : X→ X be a continuous map. This paper and topological properties of dynamical systems. It is shown that if f satisfies the central limit theorem, then f is topologically ergodic and / is sensitively dependent on initial conditions if and only if / is neither minimal nor equicontinuous.展开更多
基金Support by the Natural Science Foundation of Anhui Educational Committee (KJ2007B123)863 Project(2007AA03Z108)
文摘Let X be a compact metric space studies some relationships between stochastic and f : X→ X be a continuous map. This paper and topological properties of dynamical systems. It is shown that if f satisfies the central limit theorem, then f is topologically ergodic and / is sensitively dependent on initial conditions if and only if / is neither minimal nor equicontinuous.