{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T05:39:17Z","timestamp":1783661957186,"version":"3.55.0"},"reference-count":35,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","funder":[{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11601449"],"award-info":[{"award-number":["11601449"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"scientific research starting project of Southwest Petroleum University","award":["2015QHZ029"],"award-info":[{"award-number":["2015QHZ029"]}]},{"name":"Technology Innovation Team of Southwest Petroleum University for Nonlinear Systems","award":["2017CXTD02"],"award-info":[{"award-number":["2017CXTD02"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2018,3]]},"abstract":"<jats:p> This paper firstly proves that every dynamical system defined on a Hausdorff uniform space with topologically ergodic shadowing is topologically mixing, thus topologically chain mixing. Then, the following is proved: (1) every weakly mixing dynamical system defined on a second countable Baire\u2013Hausdorff uniform space is chaotic in the sense of both Li\u2013Yorke and Auslander\u2013Yorke; (2) every point transitive dynamical system defined on a Hausdorff uniform space is either almost equicontinuous or sensitive. <\/jats:p>","DOI":"10.1142\/s0218127418500438","type":"journal-article","created":{"date-parts":[[2018,4,12]],"date-time":"2018-04-12T05:18:04Z","timestamp":1523510284000},"page":"1850043","source":"Crossref","is-referenced-by-count":38,"title":["Topological Ergodic Shadowing and Chaos on Uniform Spaces"],"prefix":"10.1142","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2716-1416","authenticated-orcid":false,"given":"Xinxing","family":"Wu","sequence":"first","affiliation":[{"name":"School of Sciences, Southwest Petroleum University, Chengdu, Sichuan 610500, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xin","family":"Ma","sequence":"additional","affiliation":[{"name":"School of Science, Southwest University of Science and Technology, Mianyang, Sichuan 621010, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhu","family":"Zhu","sequence":"additional","affiliation":[{"name":"College of Management Science, Chengdu University of Technology, Chengdu, Sichuan 610059, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tianxiu","family":"Lu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, P. R. China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2018,4,12]]},"reference":[{"key":"S0218127418500438BIB001","doi-asserted-by":"publisher","DOI":"10.2298\/FIL1716117A"},{"key":"S0218127418500438BIB002","series-title":"Graduate Studies in Mathematics","volume-title":"The General Topology of Dynamical Systems","volume":"1","author":"Akin E.","year":"1993"},{"key":"S0218127418500438BIB003","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/16\/4\/313"},{"key":"S0218127418500438BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s10883-017-9360-0"},{"key":"S0218127418500438BIB006","doi-asserted-by":"publisher","DOI":"10.2748\/tmj\/1178229634"},{"key":"S0218127418500438BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0081279"},{"key":"S0218127418500438BIB008","doi-asserted-by":"publisher","DOI":"10.1216\/rmjm\/1181068757"},{"key":"S0218127418500438BIB009","doi-asserted-by":"publisher","DOI":"10.1007\/s10883-013-9182-7"},{"key":"S0218127418500438BIB010","series-title":"Addison-Wesley Studies in Nonlinearity, Addison-Wesley Publishing Company Advanced Book Program","volume-title":"An Introduction to Chaotic Dynamical Systems","author":"Devaney R. L.","year":"1989"},{"key":"S0218127418500438BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2009.11.004"},{"key":"S0218127418500438BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-8641(01)00025-6"},{"key":"S0218127418500438BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-3994-2"},{"key":"S0218127418500438BIB014","first-page":"3","volume":"334","author":"Kolyada S.","year":"1997","journal-title":"Grazer Math. Ber."},{"key":"S0218127418500438BIB015","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1975.11994008"},{"key":"S0218127418500438BIB016","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6544\/aa5495"},{"key":"S0218127418500438BIB017","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2017212"},{"key":"S0218127418500438BIB018","series-title":"Lecture Notes in Mathematics","volume-title":"Shadowing in Dynamical Systems","volume":"1706","author":"Pilyugin S. Y.","year":"1999"},{"key":"S0218127418500438BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.topol.2008.07.005"},{"key":"S0218127418500438BIB020","doi-asserted-by":"publisher","DOI":"10.1007\/s00233-013-9517-4"},{"key":"S0218127418500438BIB021","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1994-1227094-X"},{"key":"S0218127418500438BIB022","doi-asserted-by":"publisher","DOI":"10.1007\/s10883-015-9275-6"},{"key":"S0218127418500438BIB023","first-page":"793","volume":"31","author":"Snoha \u0141.","year":"1990","journal-title":"Comment. Math. Univ. Carolin."},{"key":"S0218127418500438BIB024","first-page":"747","volume":"33","author":"Snoha \u0141.","year":"1992","journal-title":"Comment. Math. Univ. Carolin."},{"key":"S0218127418500438BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2006.09.005"},{"key":"S0218127418500438BIB026","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2015.04.009"},{"key":"S0218127418500438BIB027","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127416502278"},{"key":"S0218127418500438BIB028","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2015.06.030"},{"key":"S0218127418500438BIB029","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/29\/7\/1942"},{"key":"S0218127418500438BIB030","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127417501073"},{"key":"S0218127418500438BIB031","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2017.02.042"},{"key":"S0218127418500438BIB032","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127417501656"},{"key":"S0218127418500438BIB033","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127417501279"},{"key":"S0218127418500438BIB034","author":"Wu X.","year":"2018","journal-title":"Oper. Matrices"},{"key":"S0218127418500438BIB035","author":"Wu X.","year":"2018","journal-title":"Iran. J. Fuzzy Syst."},{"key":"S0218127418500438BIB036","author":"Wu X.","year":"2018","journal-title":"Qual. Th. Dyn. Syst."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127418500438","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T12:50:13Z","timestamp":1565182213000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127418500438"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3]]},"references-count":35,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2018,4,12]]},"published-print":{"date-parts":[[2018,3]]}},"alternative-id":["10.1142\/S0218127418500438"],"URL":"https:\/\/doi.org\/10.1142\/s0218127418500438","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,3]]}}}