非自治动力系统的多重传递集  

Multi-Transitivity Set for Nonautonomous Dynamical Systems

作　　者：周小凯 

机构地区：[1]上海理工大学理学院,上海

出　　处：《理论数学》2022年第5期683-686,共4页Pure Mathematics

摘　　要：基于非自治离散动力系统之间的相互作用,本文主要研究了两个共轭的非自治动力系统(X,f1,∞)和(Y,g1,∞)之间的关系。本文首先介绍了非自治动力系统的一些基本概念,主要包括弱混合集、传递集和多重传递集。然后,我们证明了如果A是(X,f1,∞)的多重传递集,则h(A)是(Y,g1,∞)的多重传递集。我们把非自治动力系统(X,f1,∞)的传递集推广到系统(X,f1,∞)的多重传递集。Based on the interaction between nonautonomous discrete dynamical systems, this paper mainly studies the relationship between two conjugated nonautonomous dynamical systems (X,f1,∞) and (Y,g1,∞). We firstly introduced some basic concepts of nonautonomous dynamical systems, mainly including weakly mixed sets, transitive sets, and multi-transitive sets. Then, we proved that if A is a multi-transitive set of (X,f1,∞), then h(A) is a multi-transitive set of (Y,g1,∞). We generalized the transitive set of nonautonomous dynamical system  to the fact that system (X,f1,∞) is a multi-transitive set.

关 键 词：多重传递集 动力系统 弱混合集 

分 类 号：O19[理学—数学]