文献类型：期刊文献

英文题名：Three Types of Distributional Chaos for a Sequence of Uniformly Convergent Continuous Maps

作者：Li, Risong[1,2];Lu, Tianxiu[3];Pi, Jingmin[3];Anwar, Waseem[4]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp Sci, Zhanjiang 524025, Peoples R China;[2]Artificial Intelligence Key Lab Sichuan Prov, Key Lab Higher Educ Sichuan Prov Enterprise Inform, Zigong 643000, Peoples R China;[3]Sichuan Univ Sci & Engn, Coll Math & Stat, Zigong 643000, Peoples R China;[4]Sichuan Normal Univ, Sch Math Sci, Chengdu 610068, Peoples R China

年份：2022

卷号：2022

外文期刊名：ADVANCES IN MATHEMATICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000817561800001)、、Scopus(收录号：2-s2.0-85133192959)、WOS

基金：Many thanks are due to experts. This work was supported by the Project of Department of Science and Technology of Sichuan Province (No. 2021ZYD0005), the Ministry of Education, Science and Technology Development Center (No. 2020QT13), the Opening Project of Key Laboratory of Sichuan Province (Nos. 2018RZJ03, 2018QZJ03, and 2020WZJ01), and the Scientific Research Project of Sichuan University of Science and Engineering (No. 2020RC24).

语种：英文

外文摘要：Let (h(s))(s=1)(infinity) be a sequence of continuous maps on a compact metric space W which converges uniformly to a continuous map h on W. In this paper, some equivalence conditions or necessary conditions for the limit map h to be distributional chaotic are obtained (where distributional chaoticity includes distributional chaotic in a sequence, distributional chaos of type 1 (DC1), distributional chaos of type 2 (DC2), and distributional chaos of type 3 (DC3)).