{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T15:48:45Z","timestamp":1772293725010,"version":"3.50.1"},"reference-count":9,"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> In this paper we study a general near-Hamiltonian polynomial system on the plane. We suppose the unperturbed system has a family of periodic orbits surrounding a center point and obtain some sufficient conditions to find the cyclicity of the perturbed system at the center or a periodic orbit. In particular, we prove that for almost all polynomial Hamiltonian systems the perturbed systems with polynomial perturbations of degree n have at most n(n + 1)\/2 - 1 limit cycles near a center point. We also obtain some new results for Lienard systems by applying our main theorems. <\/jats:p>","DOI":"10.1142\/s0218127407018208","type":"journal-article","created":{"date-parts":[[2007,9,4]],"date-time":"2007-09-04T11:33:08Z","timestamp":1188905588000},"page":"2033-2047","source":"Crossref","is-referenced-by-count":22,"title":["ON THE NUMBER OF LIMIT CYCLES IN NEAR-HAMILTONIAN POLYNOMIAL SYSTEMS"],"prefix":"10.1142","volume":"17","author":[{"given":"MAOAN","family":"HAN","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"GUANRONG","family":"CHEN","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"CHENGJUN","family":"SUN","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China"},{"name":"Department of Biology, McGill University, 1205 ave Docteur Penfield Montreal, Quebec, Canada H3A 1B1, 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":"10.1006\/jmaa.2000.6758"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-9659(00)00133-6"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S0252959999000266"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1137\/0148027"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127403006352"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/BF02584827"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-8238-4_10"},{"key":"rf9","series-title":"Trans. Math. Monographs Amer. Math. Soc.","volume":"66","author":"Ye Y.","year":"1986"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127407018208","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T14:58:08Z","timestamp":1565189888000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127407018208"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,6]]},"references-count":9,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2007,6]]}},"alternative-id":["10.1142\/S0218127407018208"],"URL":"https:\/\/doi.org\/10.1142\/s0218127407018208","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,6]]}}}