敏感极小性和平均等度连续性

Sensitive Minimality and Mean Equi-continuity

证明敏感极小系统是拓扑传递的；同时证明对任意自然数n≥2，存在敏感极小系统，满足其他次迭代不是敏感极小的．最后得到平均等度连续性的迭代不变性和乘积不变性．

This paper proves that every sensitivity-minimal dynamical system is topologi- cally transitive and that for each positive integer n≥2, there is a sensitivity-minimal system such that its n-th iteration system is not sensitivity-minimal. Finally, it is obtained that the mean equi-continuity is preserved under iterations and product.