{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T20:22:10Z","timestamp":1758399730574},"reference-count":28,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2012,3]]},"abstract":"<jats:p> Applying the averaging theory of first, second and third order to one class generalized polynomial Li\u00e9nard differential equations, we improve the known lower bounds for the maximum number of limit cycles that this class can exhibit. <\/jats:p>","DOI":"10.1142\/s0218127412500630","type":"journal-article","created":{"date-parts":[[2012,2,16]],"date-time":"2012-02-16T01:41:54Z","timestamp":1329356514000},"page":"1250063","source":"Crossref","is-referenced-by-count":5,"title":["ON THE MAXIMUM NUMBER OF LIMIT CYCLES OF A CLASS OF GENERALIZED LI\u00c9NARD DIFFERENTIAL SYSTEMS"],"prefix":"10.1142","volume":"22","author":[{"given":"JUSTINO","family":"ALAVEZ-RAM\u00cdREZ","sequence":"first","affiliation":[{"name":"Divisi\u00f3n Acad\u00e9mica de Ciencias B\u00e1sicas, UJAT, Km 1 Carretera Cunduac\u00e1n\u2013Jalpa de M\u00e9ndez, c.p. 86690, Cunduac\u00e1n Tabasco, M\u00e9xico"}]},{"given":"GAMALIEL","family":"BL\u00c9","sequence":"additional","affiliation":[{"name":"Divisi\u00f3n Acad\u00e9mica de Ciencias B\u00e1sicas, UJAT, Km 1 Carretera Cunduac\u00e1n\u2013Jalpa de M\u00e9ndez, c.p. 86690, Cunduac\u00e1n Tabasco, M\u00e9xico"}]},{"given":"JORGE","family":"L\u00d3PEZ-L\u00d3PEZ","sequence":"additional","affiliation":[{"name":"Divisi\u00f3n Acad\u00e9mica de Ciencias B\u00e1sicas, UJAT, Km 1 Carretera Cunduac\u00e1n\u2013Jalpa de M\u00e9ndez, c.p. 86690, Cunduac\u00e1n Tabasco, M\u00e9xico"}]},{"given":"JAUME","family":"LLIBRE","sequence":"additional","affiliation":[{"name":"Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona, 08193, Bellaterra, Barcelona, Catalonia, Spain"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100061636"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/j.bulsci.2003.09.002"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/12\/4\/321"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-322-96657-5_3"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2010.12.003"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/3\/4\/004"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/9\/6\/006"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1997.3291"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-07-08688-1"},{"key":"rf10","first-page":"1015","volume":"159","author":"Gasull A.","journal-title":"J. Diff. Eqs."},{"key":"rf11","volume-title":"Table of Integrals, Series and Products","author":"Gradshteyn I. S.","year":"1979"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-02-00946-1"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127403006352"},{"key":"rf15","first-page":"946","volume":"23","author":"Li\u00e9nard A.","journal-title":"Revue G\u00e9nerale de l' \u00c9lectricit\u00e9"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0085364"},{"key":"rf17","first-page":"215","volume":"11","author":"Llibre J.","journal-title":"Radovi Matematicki"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004109990193"},{"key":"rf19","first-page":"192","volume":"127","author":"Lloyd N. G.","journal-title":"London Math. Soc. Lecture Note Ser."},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1988.0079"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.2001.0502"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1016\/0893-9659(95)00078-5"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-9659(98)00025-1"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-9659(98)00139-6"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.1999.2199"},{"key":"rf26","first-page":"380","volume":"11","author":"Rychkov G. S.","journal-title":"Differential'nye Uravneniya"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1007\/BF03025291"},{"key":"rf28","series-title":"Universitext","volume-title":"Nonlinear Differential Equations and Dynamical Systems","author":"Verhulst F.","year":"1991"},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.09.008"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127412500630","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:36:18Z","timestamp":1565127378000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127412500630"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3]]},"references-count":28,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2012,5,2]]},"published-print":{"date-parts":[[2012,3]]}},"alternative-id":["10.1142\/S0218127412500630"],"URL":"https:\/\/doi.org\/10.1142\/s0218127412500630","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3]]}}}