{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:43:19Z","timestamp":1760784199135,"version":"3.37.3"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Ltd","issue":"12","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11271046"],"award-info":[{"award-number":["11271046"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the Science and Technology Pillar Program of Ningxia","award":["KJ[2015]26(4)"],"award-info":[{"award-number":["KJ[2015]26(4)"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,11]]},"abstract":"<jats:p> This paper deals with the limit cycle bifurcations for piecewise smooth Hamiltonian systems. By using the first order Melnikov function of piecewise near-Hamiltonian systems given in [Liu &amp; Han, 2010], we give a lower bound and an upper bound of the number of limit cycles that bifurcate from the period annulus between the center and the generalized eye-figure loop up to the first order of Melnikov function. <\/jats:p>","DOI":"10.1142\/s0218127416502047","type":"journal-article","created":{"date-parts":[[2016,11,22]],"date-time":"2016-11-22T02:46:26Z","timestamp":1479782786000},"page":"1650204","source":"Crossref","is-referenced-by-count":15,"title":["Limit Cycle Bifurcations for Piecewise Smooth Hamiltonian Systems with a Generalized Eye-Figure Loop"],"prefix":"10.1142","volume":"26","author":[{"given":"Jihua","family":"Yang","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Beijing Normal University, Xinjiekouwai Str. 19, Beijing 100875, P. R. China"},{"name":"Department of Mathematics and Computer Science, Ningxia Normal University, Xueyuan Rd., Guyuan 756000, P. R. China"}]},{"given":"Liqin","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Beijing Normal University, Xinjiekouwai Str. 19, Beijing 100875, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2016,11,21]]},"reference":[{"key":"S0218127416502047BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2007.10.054"},{"volume-title":"Introduction to the Theory of Stability","year":"1970","author":"Barbashin E.","key":"S0218127416502047BIB002"},{"key":"S0218127416502047BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.bulsci.2003.09.002"},{"key":"S0218127416502047BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2011.10.013"},{"key":"S0218127416502047BIB005","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.2000.7188"},{"volume-title":"Piecewise-Smooth Dynamical Systems, Theory and Applications","year":"2008","author":"di Bernardo M.","key":"S0218127416502047BIB006"},{"key":"S0218127416502047BIB007","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1994.1061"},{"key":"S0218127416502047BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2014.10.077"},{"key":"S0218127416502047BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2011.11.024"},{"key":"S0218127416502047BIB010","first-page":"809","volume":"5","author":"Han M.","year":"2015","journal-title":"J. Appl. Anal. Comput."},{"key":"S0218127416502047BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2013.08.064"},{"key":"S0218127416502047BIB012","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-02-00946-1"},{"key":"S0218127416502047BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1765(79)90183-6"},{"key":"S0218127416502047BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2011.01.016"},{"key":"S0218127416502047BIB015","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127403006352"},{"key":"S0218127416502047BIB016","doi-asserted-by":"publisher","DOI":"10.1007\/s12346-011-0051-z"},{"key":"S0218127416502047BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2015.03.074"},{"key":"S0218127416502047BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2012.03.022"},{"key":"S0218127416502047BIB019","doi-asserted-by":"publisher","DOI":"10.1142\/S021812741002654X"},{"key":"S0218127416502047BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2015.01.022"},{"key":"S0218127416502047BIB021","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4575-7"},{"key":"S0218127416502047BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2016.04.018"},{"key":"S0218127416502047BIB023","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-30440-3_400"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127416502047","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,21]],"date-time":"2019-09-21T15:37:54Z","timestamp":1569080274000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127416502047"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11]]},"references-count":23,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2016,11,21]]},"published-print":{"date-parts":[[2016,11]]}},"alternative-id":["10.1142\/S0218127416502047"],"URL":"https:\/\/doi.org\/10.1142\/s0218127416502047","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2016,11]]}}}