{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T13:07:29Z","timestamp":1772284049890,"version":"3.50.1"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2007,6]]},"abstract":"<jats:p> Li\u00e9nard systems and their generalized forms are classical and important models of nonlinear oscillators, and have been widely studied by mathematicians and scientists. The main problem considered is the maximal number of limit cycles that the system can have. In this paper, two types of symmetric polynomial Li\u00e9nard systems are investigated and the maximal number of limit cycles bifurcating from Hopf singularity is obtained. A global result is also presented. <\/jats:p>","DOI":"10.1142\/s0218127407018300","type":"journal-article","created":{"date-parts":[[2007,9,4]],"date-time":"2007-09-04T11:33:08Z","timestamp":1188905588000},"page":"2169-2174","source":"Crossref","is-referenced-by-count":17,"title":["LIMIT CYCLES IN TWO TYPES OF SYMMETRIC LI\u00c9NARD SYSTEMS"],"prefix":"10.1142","volume":"17","author":[{"given":"J.","family":"JIANG","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"HAN","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"YU","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, University of Western Ontario, London, Ontario N6A 5B7, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S.","family":"LYNCH","sequence":"additional","affiliation":[{"name":"Department of Computing and Mathematics, Manchester Metropolitan University, Manchester M1 5GD, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"207","volume":"17","author":"Agarwal A.","journal-title":"Int. J. Turbo Jet-Eng."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100061636"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/BF01195913"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/12\/4\/321"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1999.3649"},{"key":"rf6","first-page":"113","volume":"15","author":"Han M.","journal-title":"Ann. Diff. Eqns."},{"key":"rf7","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1007\/BFb0085364","volume":"597","author":"Lins A.","year":"1977"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1988.0079"},{"key":"rf9","series-title":"Advanced Series in Dynamical Systems","doi-asserted-by":"crossref","DOI":"10.1142\/2598","volume-title":"Bifurcation Theory and Methods of Dynamical Systems","volume":"15","author":"Luo D.","year":"1997"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.1999.2199"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.2514\/1.3073"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.09.008"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.2514\/1.3445"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127407018300","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T14:58:30Z","timestamp":1565189910000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127407018300"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,6]]},"references-count":13,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2007,6]]}},"alternative-id":["10.1142\/S0218127407018300"],"URL":"https:\/\/doi.org\/10.1142\/s0218127407018300","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,6]]}}}