{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,27]],"date-time":"2026-05-27T16:11:17Z","timestamp":1779898277091,"version":"3.53.1"},"reference-count":25,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2022,3,12]],"date-time":"2022-03-12T00:00:00Z","timestamp":1647043200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Department of Science and Technology of Sichuan Provincial","award":["2021ZYD0005"],"award-info":[{"award-number":["2021ZYD0005"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, four kinds of shadowing properties in non-autonomous discrete dynamical systems (NDDSs) are discussed. It is pointed out that if an NDDS has a F-shadowing property (resp. ergodic shadowing property, d\u00af shadowing property, d\u0332 shadowing property), then the compound systems, conjugate systems, and product systems all have accordant shadowing properties. Moreover, the set-valued system (K(X),f\u00af1,\u221e) induced by the NDDS (X,f1,\u221e) has the above four shadowing properties, implying that the NDDS (X,f1,\u221e) has these properties.<\/jats:p>","DOI":"10.3390\/e24030397","type":"journal-article","created":{"date-parts":[[2022,3,13]],"date-time":"2022-03-13T22:29:43Z","timestamp":1647210583000},"page":"397","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["The Retentivity of Four Kinds of Shadowing Properties in Non-Autonomous Discrete Dynamical Systems"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1948-6974","authenticated-orcid":false,"given":"Yongxi","family":"Jiang","sequence":"first","affiliation":[{"name":"College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China"},{"name":"The Key Laboratory of Higher Education of Sichuan Province for Enterprise Informationalization and Internet of Things, Zigong 643000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8806-9656","authenticated-orcid":false,"given":"Tianxiu","family":"Lu","sequence":"additional","affiliation":[{"name":"College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2760-9866","authenticated-orcid":false,"given":"Jingmin","family":"Pi","sequence":"additional","affiliation":[{"name":"College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Waseem","family":"Anwar","sequence":"additional","affiliation":[{"name":"School of Mathematical Science, Sichuan Normal University, Chengdu 610068, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,3,12]]},"reference":[{"key":"ref_1","first-page":"1139","article-title":"On Stronger Forms of Sensitivity in Non-autonomous Systems","volume":"22","author":"Radhika","year":"2018","journal-title":"Taiwan. 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