Weakly Almost Periodic Point and Measure Centre
Weakly Almost Periodic Point and Measure Centre作者机构:Lingnan (University) College Zhongshan University Guangzhou 510275 PRC
出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期:1993年第36卷第2期
页 面:142-153页
核心收录:
基 金:the National Education Foundation of China the National Basic Research Project "Nonlinear Science"
主 题:eontinuous self-map invariant measure weakly almost periodic point measure centre.
摘 要:In studying a dynamical system, one finds that there frequently exist some kinds of disturbance or false phenomenon. In order to remove them, we introduce a concept of the measure centre and in order to determine the structure of the measure centre, we also introduce another concept of the weakly almost periodic point. We totally determine the structure of the measure centre and exhibit an example to show that the measure centre may be contained properly in the motion centre and there is a system which is chaotic on the nonwandering set but has zero topological entropy.