{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T23:42:41Z","timestamp":1782949361696,"version":"3.54.5"},"reference-count":7,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,4]]},"abstract":"<jats:p> In this work we consider planar quasihomogeneous vector fields and we show, among other qualitative properties, how to calculate all the inverse integrating factors of such C<jats:sup>1<\/jats:sup> systems. Additionally, we obtain a necessary condition in order to have analytic inverse integrating factors and first integrals for planar positively semi-quasihomogeneous vector fields which are related to the existence of polynomial inverse integrating factors and first integrals for the quasihomogeneous cut. Examples are given and their relationship with Kovalevskaya exponents is shown. <\/jats:p>","DOI":"10.1142\/s021812740300700x","type":"journal-article","created":{"date-parts":[[2003,6,17]],"date-time":"2003-06-17T12:04:14Z","timestamp":1055851454000},"page":"995-1002","source":"Crossref","is-referenced-by-count":19,"title":["ON THE INTEGRABILITY OF QUASIHOMOGENEOUS AND RELATED PLANAR VECTOR FIELDS"],"prefix":"10.1142","volume":"13","author":[{"given":"ISAAC A.","family":"GARC\u00cdA","sequence":"first","affiliation":[{"name":"Departament de Matem\u00e0tica, Universitat de Lleida, Avda. Jaume II, 69. 25001. Lleida, Spain"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"187","volume":"8","author":"Andreev A.","journal-title":"Transl. Amer. Math. Soc."},{"key":"rf2","volume-title":"Theory of Bifurcations of Dynamic Systems on a Plane","author":"Andronov A. A.","year":"1973"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1998.3621"},{"key":"rf4","first-page":"320","volume":"16","author":"Chavarriga J.","journal-title":"Ann. Diff. Eqs."},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/BF00917577"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/9\/2\/013"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/BF01230292"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021812740300700X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:13:35Z","timestamp":1565136815000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021812740300700X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,4]]},"references-count":7,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2003,4]]}},"alternative-id":["10.1142\/S021812740300700X"],"URL":"https:\/\/doi.org\/10.1142\/s021812740300700x","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,4]]}}}