{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T06:43:49Z","timestamp":1740120229238,"version":"3.37.3"},"reference-count":26,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","funder":[{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11601449"],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2017,6,30]]},"abstract":"Let [Formula: see text] be the supremum of all topological sequence entropies of a dynamical system [Formula: see text]. This paper obtains the iteration invariance and commutativity of [Formula: see text] and proves that if [Formula: see text] is a multisensitive transformation defined on a locally connected space, then [Formula: see text]. As an application, it is shown that a Cournot map is Li\u2013Yorke chaotic if and only if its topological sequence entropy relative to a suitable sequence is positive.<\/jats:p>","DOI":"10.1142\/s0218127417501073","type":"journal-article","created":{"date-parts":[[2017,7,21]],"date-time":"2017-07-21T07:52:14Z","timestamp":1500623534000},"page":"1750107","source":"Crossref","is-referenced-by-count":17,"title":["A Remark on Topological Sequence Entropy"],"prefix":"10.1142","volume":"27","author":[{"given":"Xinxing","family":"Wu","sequence":"first","affiliation":[{"name":"School of Sciences, Southwest Petroleum University, Chengdu, Sichuan 610500, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2017,7,21]]},"reference":[{"key":"S0218127417501073BIB001","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1965-0175106-9"},{"key":"S0218127417501073BIB002","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/16\/4\/313"},{"key":"S0218127417501073BIB003","doi-asserted-by":"publisher","DOI":"10.2748\/tmj\/1178229634"},{"key":"S0218127417501073BIB004","doi-asserted-by":"publisher","DOI":"10.5802\/aif.1735"},{"key":"S0218127417501073BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127499001218"},{"key":"S0218127417501073BIB006","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1515\/ans-2001-0203","volume":"1","author":"C\u00e1novas J. S.","year":"2001","journal-title":"Adv. Nonlin. Stud."},{"key":"S0218127417501073BIB007","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/17\/1\/003"},{"volume-title":"An Introduction to Chaotic Dynamical Systems","year":"1989","author":"Devaney R. L.","key":"S0218127417501073BIB008"},{"key":"S0218127417501073BIB009","doi-asserted-by":"publisher","DOI":"10.2307\/2048657"},{"key":"S0218127417501073BIB010","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-29.2.331"},{"key":"S0218127417501073BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2008.11.009"},{"key":"S0218127417501073BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2016.01.011"},{"key":"S0218127417501073BIB013","first-page":"205","volume":"4","author":"Kolyada S.","year":"1996","journal-title":"Rand. Comput. Dyn."},{"key":"S0218127417501073BIB014","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1975.11994008"},{"key":"S0218127417501073BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2016.01.006"},{"key":"S0218127417501073BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2013.03.012"},{"key":"S0218127417501073BIB017","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/20\/9\/006"},{"key":"S0218127417501073BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2006.09.005"},{"key":"S0218127417501073BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2015.04.009"},{"key":"S0218127417501073BIB020","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127416502278"},{"key":"S0218127417501073BIB021","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127416500541"},{"key":"S0218127417501073BIB022","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/29\/7\/1942"},{"key":"S0218127417501073BIB023","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2017.02.042"},{"key":"S0218127417501073BIB025","doi-asserted-by":"publisher","DOI":"10.1215\/20088752-3802705"},{"journal-title":"Qual. Theory Dyn. Syst.","year":"2017","author":"Wu X.","key":"S0218127417501073BIB026"},{"key":"S0218127417501073BIB027","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/21\/7\/012"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127417501073","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,31]],"date-time":"2022-07-31T08:01:42Z","timestamp":1659254502000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127417501073"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6,30]]},"references-count":26,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2017,7,21]]},"published-print":{"date-parts":[[2017,6,30]]}},"alternative-id":["10.1142\/S0218127417501073"],"URL":"https:\/\/doi.org\/10.1142\/s0218127417501073","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2017,6,30]]}}}