{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:28:54Z","timestamp":1747189734885,"version":"3.40.5"},"reference-count":19,"publisher":"World Scientific Pub Co Pte Ltd","issue":"09","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11931016"],"award-info":[{"award-number":["11931016"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11771296"],"award-info":[{"award-number":["11771296"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004761","name":"Natural Science Foundation of Hunan Province","doi-asserted-by":"crossref","award":["2018JJ3866"],"award-info":[{"award-number":["2018JJ3866"]}],"id":[{"id":"10.13039\/501100004761","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Doctoral Scientific Research Start-up Foundation fromZhejiang Normal Universit","award":["ZC304019016"],"award-info":[{"award-number":["ZC304019016"]}]},{"DOI":"10.13039\/100009377","name":"Education Department of Hunan Province","doi-asserted-by":"publisher","award":["19C1898"],"award-info":[{"award-number":["19C1898"]}],"id":[{"id":"10.13039\/100009377","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2021,7]]},"abstract":"<jats:p> In this paper, we study Poincar\u00e9 bifurcation of a class of piecewise polynomial systems, whose unperturbed system has a period annulus together with two invariant lines. The main concerns are the number of zeros of the first order Melnikov function and the estimation of the number of limit cycles which bifurcate from the period annulus under piecewise polynomial perturbations of degree [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0218127421501236","type":"journal-article","created":{"date-parts":[[2021,7,27]],"date-time":"2021-07-27T02:33:06Z","timestamp":1627353186000},"page":"2150123","source":"Crossref","is-referenced-by-count":6,"title":["Number of Limit Cycles from a Class of Perturbed Piecewise Polynomial Systems"],"prefix":"10.1142","volume":"31","author":[{"given":"Xiaoyan","family":"Chen","sequence":"first","affiliation":[{"name":"College of Teacher Education, Zhejiang Normal University, Zhejiang 321004, P. R. China"},{"name":"College of Science, Central South University of Forestry and Technology, Hunan 410004, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8792-1256","authenticated-orcid":false,"given":"Maoan","family":"Han","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Zhejiang 321004, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,7,26]]},"reference":[{"key":"S0218127421501236BIB001","series-title":"Applied Mathematical Sciences","volume-title":"Piecewise-Smooth Dynamical Systems: Theory and Applications","volume":"163","author":"Bernardo M.","year":"2008"},{"key":"S0218127421501236BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2018.07.016"},{"key":"S0218127421501236BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2015.03.045"},{"key":"S0218127421501236BIB004","volume":"61","author":"Chen X.","year":"2020","journal-title":"Qual. Th. Dyn. Syst."},{"key":"S0218127421501236BIB005","first-page":"275","volume":"12","author":"Coll B.","year":"2005","journal-title":"Dyn. Contin. Discr. Impuls. Syst. Ser. A"},{"key":"S0218127421501236BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-7793-9"},{"key":"S0218127421501236BIB007","first-page":"809","volume":"5","author":"Han M.","year":"2015","journal-title":"J. Appl. Anal. Comput."},{"key":"S0218127421501236BIB008","first-page":"788","volume":"7","author":"Han M.","year":"2017","journal-title":"J. Appl. Anal. Comput."},{"key":"S0218127421501236BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.bulsci.2020.102866"},{"key":"S0218127421501236BIB010","first-page":"13","volume":"3","author":"Han M.","year":"2021","journal-title":"J. Nonlin. Model. Anal."},{"key":"S0218127421501236BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2015.03.074"},{"key":"S0218127421501236BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2012.03.022"},{"key":"S0218127421501236BIB013","doi-asserted-by":"publisher","DOI":"10.1142\/S021812741002654X"},{"key":"S0218127421501236BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2015.01.022"},{"key":"S0218127421501236BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/j.bulsci.2014.08.011"},{"key":"S0218127421501236BIB017","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127418501742"},{"key":"S0218127421501236BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2019.06.041"},{"key":"S0218127421501236BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2019.01.039"},{"key":"S0218127421501236BIB020","first-page":"2417","volume":"22","author":"Yang J.","year":"2017","journal-title":"Discr. Contin. Dyn. Syst. Ser. B"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127421501236","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,7,27]],"date-time":"2021-07-27T02:34:48Z","timestamp":1627353288000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127421501236"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7]]},"references-count":19,"journal-issue":{"issue":"09","published-print":{"date-parts":[[2021,7]]}},"alternative-id":["10.1142\/S0218127421501236"],"URL":"https:\/\/doi.org\/10.1142\/s0218127421501236","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2021,7]]}}}