Near periodicity in dynamical systems  

作　　者：陈文成 

机构地区：[1]Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China [2]Department of Applied Mathematics, Shandong Institute of Mining and Technology, Tai'an, 271019, China

出　　处：《Science China Mathematics》1995年第7期769-776,共8页中国科学：数学（英文版）

摘　　要：The notion of near periodicity is shown to be equivalent to that of weak near periodicity in dynamical systems. A sufficient condition for the positive near periodicity of a point in dynamical systems is given. The structure of nearly periodic dynamical systems is discussed, and a condition is proved to be necessary and sufficient for a dynamical system on a local compact space to be positively nearly periodic.The notion of near periodicity is shown to be equivalent to that of weak near periodicity in dynamical systems. A sufficient condition for the positive near periodicity of a point in dynamical systems is given. The structure of nearly periodic dynamical systems is discussed, and a condition is proved to be necessary and sufficient for a dynamical system on a local compact space to be positively nearly periodic.

关 键 词：dynamical system POSITIVE NEAR PERIODICITY POSITIVE LIMIT SET POSITIVE prolongational LIMIT SET stability. 

分 类 号：O19[理学—数学]