移位映射在周期点集上的性质  

The Equicontinuity on the Set of Periodic Points for Shift Maps

作　　者：严珍珍[1] 张爱华[1] 

机构地区：[1]南京邮电大学数理学院

出　　处：《南京邮电大学学报（自然科学版）》2007年第3期59-61,66,共4页Journal of Nanjing University of Posts and Telecommunications：Natural Science Edition

基　　金：国家自然科学基金(10571086);南京邮电大学青蓝计划(NY206053)资助项目

摘　　要：讨论了轨道空间和逆极限空间上移位映射在周期点集上的性质,即等度连续性和局部度量不稳定,证明了以下结论:如果坐标映射在周期点集上具有等度连续性,则移位映射在周期点集上具有等度连续性;如果移位映射在周期点集上具有局部度量不稳定性,则坐标映射在周期点集上具有局部度量不稳定性。This paper discusses the properties of shift maps on the set of periodic points within the orbit space and the inverse limit space. The following conclusions are proved. Should the original map have the property of equicontinuity on the set of periodic points, the shift maps also have it. Should the shift maps have the property of local metric instability on the set of periodic points, the original map also has it.

关 键 词：轨道空间 逆极限空间 移位映射 等度连续性 局部度量不稳定性 

分 类 号：O189[理学—数学]