{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T09:08:04Z","timestamp":1648717684431},"reference-count":18,"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> We characterize topologically \u03c9-limit sets of nonrecurrent orbits for continuous flows on the n-sphere [Formula: see text]. Namely, it is shown that if \u03a9 is the \u03c9-limit set of some nonrecurrent orbit of a continuous flow on [Formula: see text] then it is the boundary of a region [Formula: see text] with connected complementary. Conversely, if \u03a9 is the boundary of a region [Formula: see text] with connected complementary then there is a (C<jats:sup>\u221e<\/jats:sup>) smooth flow on [Formula: see text] having \u03a9 as the \u03c9-limit set of one of its nonrecurrent orbits. <\/jats:p>","DOI":"10.1142\/s0218127403007588","type":"journal-article","created":{"date-parts":[[2003,8,28]],"date-time":"2003-08-28T09:49:31Z","timestamp":1062064171000},"page":"1727-1732","source":"Crossref","is-referenced-by-count":2,"title":["A Characterization of \u03c9-Limit Sets of Nonrecurrent Orbits in $\\mathbb S^n$"],"prefix":"10.1142","volume":"13","author":[{"given":"V\u00edctor","family":"Jim\u00e9nez L\u00f3pez","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad de Murcia, 30100 Murcia, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gabriel","family":"Soler L\u00f3pez","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica Aplicada y Estad\u00edstica, Universidad Polit\u00e9cnica de Cartagena, Paseo Alfonso XIII 52, 30.203 Cartagena, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02254658"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1997.3401"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-2284-0"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-0258-2"},{"key":"rf5","volume-title":"Differential Topology","author":"Guillemin V.","year":"1974"},{"key":"rf6","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1017\/S0143385700003278","volume":"6","author":"Guti\u00e9rrez C.","journal-title":"Ergod. 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