强一致收敛条件下序列系统与极限系统的关联性  

The Condition of Strong Uniform Convergence of Relationship between Sequence System and Limit the System

作　　者：罗飞[1] 金渝光[1] 

机构地区：[1]重庆师范大学数学学院,重庆401331

出　　处：《重庆师范大学学报（自然科学版）》2015年第4期78-80,共3页Journal of Chongqing Normal University:Natural Science

基　　金：2013年重庆市研究生教育教学研究项目(No.YJG133037);2013年重庆高校创新团队建设计划资助项目(No.KJPB201308)

摘　　要：混沌动力系统是广大研究者的研究课题,而很少有研究混沌中的序列系统与极限系统。在混沌动力系统的基础上对混沌中的序列系统与极限系统进行研究,先在一致收敛条件下对序列映射非游荡点进行讨论,得出序列映射不能保持到极限映射。在此基础上,引入比一致收敛更强的收敛即强一致收敛,在强一致收敛条件下,序列映射的非游荡点与极限映射具有某种保持性。同时还讨论了在强一致收敛条件下,序列映射非游荡点与极限映射非游荡点集合的包含关系,得出序列映射非游荡点上确界的极限包含于极限映射非游荡点和若序列映射非游荡点集等于全空间则极限映射非游荡点集等于全空间。对序列映射和极限映射的研究为混沌动力系统中的序列动力系统和极限动力系统的研究作出了准备。Chaotic dynamical system is a research topic of many researchers, but little research on the chaotic sequence system of limit system. This article is based on the chaotic dynamic system of chaos sequence and limit system research, this paper first in the uniform convergence of sequence mapping under the condition of non wandering point are discussed, the sequence mapping can not keep to the limit mapping. On this basis, the stronger convergence uniform convergence is in the strong uniform convergence, strong convergence conditions, non wandering point and limit mapping has a retention sequence mapping. Also discussed are the strong uniform convergence conditions, sequence mapping non wandering point and limit mapping non wandering contains the point set, the limit of sequence mapping non wandering point supremum is contained in the limit mapping non wandering point and if se- quence mapping the set of non wandering points equal to the total space limit mapping the set of non wandering points equal to the total space. We prepared for the study on sequence mapping and limit mapping study of chaotic dynamical system in the sequence of power system and the limit of power system.

关 键 词：非游荡点 一致收敛 强一致收敛 序列系统 极限系统 

分 类 号：O19[理学—数学]