本项目拟在半群作用的动力系统中，首先引进弱几乎周期点与测度中心等概念，并把已建立的关于弱几乎周期点与测度中心的结论推广到半群作用的动力系统中； 然后研究具有满测度中心系统的动力性状， 主要包括这样的系统具有何种拓扑传递属性和混沌性质，并探索两者之间的联系。 含有(真的)弱几乎周期点的系统一般认为是很复杂，对其拓扑传递属性和混沌性质加以研究，不仅可以完善拓扑动力系统的基础理论， 而且可以为以后的研究提供新的方法或思路。 因此本项目计划研究的问题具有重要的理论意义和实际意义。

This project is planned, in dynamical systems of semigroup actions, to introduce firstly the concepts of weakly almost periodic point and measure center, and to study the dynamical properties of the systems with full measure centers, including what topologically transitive properties and chaotic properties such systems should be possessing. Furthermore, the relationships among the topologically transitive properties such systems should have and the chaotic properties such systems may be will be studied. In general, the systems containing proper weakly almost periodic points are considered to be complex, so now to start the study of topologically transitive properties、chaotic properties for such a class of systems not only can improve the basic theories of topological dynamical systems but also may offer some new metholds and ideas for our future reaserches. Thus the problems planned to be investigated in the project are of important significance in theory and reality.