{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T05:23:44Z","timestamp":1648877024438},"reference-count":4,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,7]]},"abstract":"<jats:p> Let f be a piecewise monotone interval map with positive topological entropy h(f)= log (s). Milnor and Thurston showed that f is topological semiconjugated to a piecewise linear map having slope s. Here we prove that these semiconjugacies are the eigenvectors of a certain linear endomorphism associated to f. Using this characterization, we prove a conjecture presented by those authors. <\/jats:p>","DOI":"10.1142\/s0218127403007503","type":"journal-article","created":{"date-parts":[[2003,8,28]],"date-time":"2003-08-28T09:49:31Z","timestamp":1062064171000},"page":"1657-1663","source":"Crossref","is-referenced-by-count":5,"title":["One-Dimensional Semiconjugacy Revisited"],"prefix":"10.1142","volume":"13","author":[{"given":"J. F.","family":"Alves","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico, Av. Rovisco Pais, Lisboa, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Sousa Ramos","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico, Av. Rovisco Pais, Lisboa, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/s002200050639"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-78043-1"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1966-0197683-5"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(89)90033-9"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127403007503","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:16:23Z","timestamp":1565136983000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127403007503"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,7]]},"references-count":4,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,7]]}},"alternative-id":["10.1142\/S0218127403007503"],"URL":"https:\/\/doi.org\/10.1142\/s0218127403007503","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,7]]}}}