摘要：We study relationships between a set-valued map and its inverse limit about the notion of periodic point set, transitivity, sensitivity and Devaney chaos. We show that periodic point set of a set-valued map is dense if and only if periodic point set of the inverse limit with the set-valued map is dense. Sensitivity of a set-valued map and its inverse limit are independent of each other. If the inverse limit with the set-valued map is chaotic in the sense of Devaney (respectively, transitive), then the set-valued map is chaotic in the sense of Devaney (respectively, transitive).
https://www.sciencedirect.com/science/article/pii/S0960077923003557?utm_campaign=STMJ_AUTH_SERV_PUBLISHED&utm_medium=email&utm_acid=89164370&SIS_ID=&dgcid=STMJ_AUTH_SERV_PUBLISHED&CMX_ID=&utm_in=DM370924&utm_source=AC_
第一作者-第一单位：赵英翠-东莞理工学院
期刊名称-中科院SCI分区-影响因子：CHAOS SOLITONS & FRACTALS-（大类小类均）1区，TOP期刊-9.922
