{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T00:03:25Z","timestamp":1773792205976,"version":"3.50.1"},"reference-count":7,"publisher":"World Scientific Pub Co Pte Lt","issue":"14","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,12,30]]},"abstract":"<jats:p> We consider a generalized pendulum equation depending on the scalar parameter [Formula: see text] having for [Formula: see text] a limit cycle [Formula: see text] of the second kind and of multiplicity three. We study the bifurcation behavior of [Formula: see text] for [Formula: see text] by means of a Dulac\u2013Cherkas function. <\/jats:p>","DOI":"10.1142\/s0218127416502291","type":"journal-article","created":{"date-parts":[[2017,1,17]],"date-time":"2017-01-17T10:21:59Z","timestamp":1484648519000},"page":"1650229","source":"Crossref","is-referenced-by-count":2,"title":["Study of the Bifurcation of a Multiple Limit Cycle of the Second Kind by Means of a Dulac\u2013Cherkas Function: A Case Study"],"prefix":"10.1142","volume":"26","author":[{"given":"Alexander","family":"Grin","sequence":"first","affiliation":[{"name":"Yanka Kupala State University of Grodno, Ozheshko Street 22, 230023 Grodno, Belarus"}]},{"given":"Klaus R.","family":"Schneider","sequence":"additional","affiliation":[{"name":"Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D-10117 Berlin, Germany"}]}],"member":"219","published-online":{"date-parts":[[2017,1,17]]},"reference":[{"key":"S0218127416502291BIB001","volume-title":"Theory of Oscillations","author":"Andronov A. A.","year":"1981"},{"key":"S0218127416502291BIB002","first-page":"692","volume":"33","author":"Cherkas L. A.","year":"1997","journal-title":"Diff. Eqs."},{"key":"S0218127416502291BIB003","doi-asserted-by":"publisher","DOI":"10.1134\/S0012266111040021"},{"key":"S0218127416502291BIB004","first-page":"839","volume":"18","author":"Cherkas L. A.","year":"2011","journal-title":"Dyn. Contin. Discr. Impuls. Syst. Ser. A: Math. Anal."},{"key":"S0218127416502291BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2015.03.015"},{"key":"S0218127416502291BIB006","first-page":"641","volume":"14","author":"Grin A. A.","year":"2007","journal-title":"Dyn. Contin. Discr. Impuls. Syst. Ser. A: Math. Anal."},{"key":"S0218127416502291BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-0193-3"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127416502291","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T16:29:24Z","timestamp":1565195364000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127416502291"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12,30]]},"references-count":7,"journal-issue":{"issue":"14","published-online":{"date-parts":[[2017,1,17]]},"published-print":{"date-parts":[[2016,12,30]]}},"alternative-id":["10.1142\/S0218127416502291"],"URL":"https:\/\/doi.org\/10.1142\/s0218127416502291","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,12,30]]}}}