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Using these coefficients, we obtain a new bifurcation theorem concerning the limit cycle bifurcation near the nilpotent center. An interesting application example &amp; a cubic system having five limit cycles &amp; is also presented.<\/jats:p>","DOI":"10.1142\/s0218127408022226","type":"journal-article","created":{"date-parts":[[2009,1,19]],"date-time":"2009-01-19T10:46:54Z","timestamp":1232362014000},"page":"3013-3027","source":"Crossref","is-referenced-by-count":31,"title":["LIMIT CYCLE BIFURCATIONS IN NEAR-HAMILTONIAN SYSTEMS BY PERTURBING A NILPOTENT CENTER"],"prefix":"10.1142","volume":"18","author":[{"given":"MAOAN","family":"HAN","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shanghai Normal University, Guilin Rd. 100, Shanghai 200234, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JIAO","family":"JIANG","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shanghai Maritime University, Shanghai 200135, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"HUAIPING","family":"ZHU","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01081886"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-0147-9"},{"key":"rf3","first-page":"349","volume":"22","author":"Chow S. N.","journal-title":"Erg. Th. Dyn. 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