(?)-Equicontinuous And Strongly Form Sensitivity

In this paper,we introduced the notions of (?)-equicontinuous points and (?)-sensitive points.The notions of periodic point were compared,and the sensitivity of semigroup actions on uniform Hausdorff spaces was studied.In chapter 1,we briefly described the development history and the branch of dynamical systems,and introduced the research status of the dynamical systems of semigroup action.In chapter 2,we reviewed some standard notions and results to be used in the paper.In chapter 3,we showed that a point ? (3 is mean equicontinuous point of a dynamical system(X,T)if and only if it is a (?)-equicontinuous point of(X,T)for any q belongs to [0,1).And a point ? (3 is mean sensitive point of a dynamical system(X,T)if and only if it is a -sensitive(X,T)point for some q belongs to(0,1].In chapter 4,we discussed the interrelations between the notions of periodic point,and the relationship between FM-periodic point and s-periodic point,FMperiodic point and MM-periodic point,s-periodic point and MM-periodic point.We illustrated the concept of each periodic point were independent of each other.In chapter 5,we proved that for a semigroup action on a uniform space,if it is syndetically transitive and not minimal,then it is syndetically sensitive.Especially,if an abelian surjective semigroup action on a uniform space is transitive,not minimal and has a dense set of MM-periodic points,then it is syndetically sensitive.