{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T14:01:29Z","timestamp":1772287289608,"version":"3.50.1"},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,2]]},"abstract":"<jats:p> We study the set of periods of tree maps f : T \u2192 T which are monotone between any two consecutive points of a fixed periodic orbit P. This set is characterized in terms of some integers which depend only on the combinatorics of f|<jats:sub>P<\/jats:sub> and the topological structure of T. In particular, a typep \u2265 1 of P is defined as a generalization of the notion introduced by Baldwin in his characterization of the set of periods of star maps. It follows that there exists a divisor k of the period of P such that if the set of periods of f is not finite then it contains either all the multiples of kp or an initial segment of the <jats:sub>kp<\/jats:sub>\u2265 Baldwin's ordering, except for a finite set which is explicitly bounded. Conversely, examples are given where f has precisely these sets of periods. <\/jats:p>","DOI":"10.1142\/s021812740300656x","type":"journal-article","created":{"date-parts":[[2003,3,18]],"date-time":"2003-03-18T16:24:52Z","timestamp":1048004692000},"page":"311-341","source":"Crossref","is-referenced-by-count":5,"title":["SETS OF PERIODS FOR PIECEWISE MONOTONE TREE MAPS"],"prefix":"10.1142","volume":"13","author":[{"given":"LL.","family":"ALSED\u00c0","sequence":"first","affiliation":[{"name":"Departament de Matem\u00e0tiques, Edifici Cc, Universitat Aut\u00f2noma de Barcelona, 08913 Cerdanyola del Vall\u00e8s, Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.","family":"JUHER","sequence":"additional","affiliation":[{"name":"Departament d'Inform\u00e0tica i Matem\u00e0tica Aplicada, Universitat de Girona, Llu\u00eds Santal\u00f3 s\/n, 17071 Girona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"MUMBR\u00da","sequence":"additional","affiliation":[{"name":"Departament de Matem\u00e0tica Aplicada i An\u00e0lisi, Universitat de Barcelona, Gran Via 585, 08071 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.2307\/2001417"},{"key":"rf2","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1017\/S0143385700008348","volume":"15","author":"Alsed\u00e0 Ll.","journal-title":"Ergod. 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