{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T13:50:40Z","timestamp":1772286640226,"version":"3.50.1"},"reference-count":5,"publisher":"World Scientific Pub Co Pte Lt","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2010,10]]},"abstract":"<jats:p> We provide an algorithm for studying invariant tori fulfilled by periodic orbits of a perturbed system which emerge from the set of periodic orbits of an unperturbed linear system in p : q resonance. We illustrate the algorithm with an application. <\/jats:p>","DOI":"10.1142\/s0218127410027738","type":"journal-article","created":{"date-parts":[[2010,11,10]],"date-time":"2010-11-10T21:10:06Z","timestamp":1289423406000},"page":"3341-3344","source":"Crossref","is-referenced-by-count":2,"title":["INVARIANT TORI FULFILLED BY PERIODIC ORBITS FOR FOUR-DIMENSIONAL $\\mathcal{C}^2$ DIFFERENTIAL SYSTEMS IN THE PRESENCE OF RESONANCE"],"prefix":"10.1142","volume":"20","author":[{"given":"JAUME","family":"LLIBRE","sequence":"first","affiliation":[{"name":"Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ANA CRISTINA","family":"MEREU","sequence":"additional","affiliation":[{"name":"Centro de Matem\u00e1tica, Computa\u00e7\u00e3o e Cogni\u00e7\u00e3o, Universidade Federal do ABC, 09090-900, Santo Andr\u00e9, S.P., Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MARCO A.","family":"TEIXEIRA","sequence":"additional","affiliation":[{"name":"Centro de Matem\u00e1tica, Computa\u00e7\u00e3o e Cogni\u00e7\u00e3o, Universidade Federal do ABC, 09090-900, Santo Andr\u00e9, S.P., Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","series-title":"Second Printing","volume-title":"Mathematical Aspects of Classical and Celestial Mechanics","author":"Arnold V. I.","year":"1997"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1140-2"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1044-3"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4575-7"},{"key":"rf5","volume-title":"Nonlinear Differential Equations and Dynamical Systems","author":"Verhulst F.","year":"1991"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127410027738","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T19:55:24Z","timestamp":1565121324000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127410027738"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,10]]},"references-count":5,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2010,10]]}},"alternative-id":["10.1142\/S0218127410027738"],"URL":"https:\/\/doi.org\/10.1142\/s0218127410027738","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,10]]}}}