{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:19:46Z","timestamp":1753881586834,"version":"3.41.2"},"reference-count":9,"publisher":"World Scientific Pub Co Pte Ltd","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2022,5]]},"abstract":"<jats:p> We study the crossing periodic orbits and limit cycles of the planar piecewise-continuous differential systems separated by the straight-line [Formula: see text] having in [Formula: see text] the general quadratic isochronous center [Formula: see text], [Formula: see text] after an affine transformation, and in [Formula: see text] an arbitrary quadratic isochronous center except for the quadratic isochronous center [Formula: see text], [Formula: see text] which has been studied in [Ghermoul et al., 2021]. For these piecewise-continuous differential systems the upper bound of crossing limit cycles is 2, and there are specific examples having one crossing limit cycle. <\/jats:p>","DOI":"10.1142\/s0218127422500912","type":"journal-article","created":{"date-parts":[[2022,5,27]],"date-time":"2022-05-27T11:36:12Z","timestamp":1653651372000},"source":"Crossref","is-referenced-by-count":0,"title":["Limit Cycles of Piecewise-Continuous Differential Systems Formed by Linear and Quadratic Isochronous Centers II"],"prefix":"10.1142","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0617-9665","authenticated-orcid":false,"given":"Bilal","family":"Ghermoul","sequence":"first","affiliation":[{"name":"Department of Mathematics, University Mohamed El Bachir El Ibrahimi, Bordj Bou Arreridj 34265, El\u2013Anasser, Algeria"}]},{"given":"Jaume","family":"Llibre","sequence":"additional","affiliation":[{"name":"Departament de Matem\u00e0tiques, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain"}]},{"given":"Tayeb","family":"Salhi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University Mohamed El Bachir El Ibrahimi, Bordj Bou Arreridj 34265, El\u2013Anasser, Algeria"}]}],"member":"219","published-online":{"date-parts":[[2022,5,27]]},"reference":[{"key":"S0218127422500912BIB002","series-title":"Applied Mathematical Sciences","volume-title":"Piecewise-Smooth Dynamical Systems","volume":"163","author":"di Bernardo M.","year":"2008"},{"key":"S0218127422500912BIB003","first-page":"230","volume":"32","author":"Dulac H.","year":"1908","journal-title":"Bull. Sci. Math. S\u00e9r. (2)"},{"key":"S0218127422500912BIB004","first-page":"2250003-1","volume":"32","author":"Ghermoul B.","year":"2021","journal-title":"Int. J. Bifurcation and Chaos"},{"key":"S0218127422500912BIB007","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-02-00946-1"},{"key":"S0218127422500912BIB008","first-page":"21","volume":"3","author":"Li J.","year":"1964","journal-title":"Contrib. Diff. Eqs."},{"key":"S0218127422500912BIB009","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127403006352"},{"key":"S0218127422500912BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-2223-x"},{"key":"S0218127422500912BIB011","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-017-3866-6"},{"key":"S0218127422500912BIB013","volume":"1","author":"Poincar\u00e9 H.","year":"1928","journal-title":"Oevres Compl\u00e8tes"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127422500912","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,27]],"date-time":"2022-05-27T11:36:35Z","timestamp":1653651395000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218127422500912"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,5]]},"references-count":9,"journal-issue":{"issue":"06","published-print":{"date-parts":[[2022,5]]}},"alternative-id":["10.1142\/S0218127422500912"],"URL":"https:\/\/doi.org\/10.1142\/s0218127422500912","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"type":"print","value":"0218-1274"},{"type":"electronic","value":"1793-6551"}],"subject":[],"published":{"date-parts":[[2022,5]]},"article-number":"2250091"}}