摘要
利用底系统的传递性与弱混合性,对由Abelian半群作用生成动力系统的提升系统的Proximal性质进行了研究.证明了若底系统是传递的且有一个不动点,则其提升系统是Proximal的;若底系统是弱混合的,则其提升系统是Proximal的,并推广了Proximal性质的概念.
By using the transtivity and weakly mixing of basic system,proximal property of lift system which is generated by Ablian semi-group action is investigated.It is proved that if the basic system is transitive and has a fix point,then its lift system is proximal,it is also proved that if the basic system is weakly mixing,then its lift system is proximal.And the definition of proximal is extended.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2010年第4期401-403,共3页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金(10971084)
吉林省教育厅"十一五"科学技术研究(吉教科合字第2009421号)资助项目
关键词
传递性
弱混合性
提升系统
transtivity
weakly mixing
lift systems
