{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,14]],"date-time":"2026-03-14T06:51:25Z","timestamp":1773471085010,"version":"3.50.1"},"reference-count":9,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,4]]},"abstract":"<jats:p> In this paper, we study the existence of limit cycles for piecewise linear differential systems with two zones in the plane. More precisely, we prove the existence of piecewise linear differential systems with two zones in the plane with four, five, six and seven limit cycles. From our results we conjecture the existence of piecewise linear differential systems with two zones in the plane having exactly n limit cycles for all n \u2208 \u2115. <\/jats:p>","DOI":"10.1142\/s0218127414500564","type":"journal-article","created":{"date-parts":[[2014,4,23]],"date-time":"2014-04-23T09:12:34Z","timestamp":1398244354000},"page":"1450056","source":"Crossref","is-referenced-by-count":42,"title":["More Than Three Limit Cycles in Discontinuous Piecewise Linear Differential Systems with Two Zones in the Plane"],"prefix":"10.1142","volume":"24","author":[{"given":"Denis De Carvalho","family":"Braga","sequence":"first","affiliation":[{"name":"Campus Avan\u00e7ado de Itabira, Universidade Federal de Itajub\u00e1, Rua S\u00e3o Paulo 377, Bairro Amazonas, CEP 35.900\u2013373, Itabira, MG, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Luis Fernando","family":"Mello","sequence":"additional","affiliation":[{"name":"Instituto de Matem\u00e1tica e Computa\u00e7\u00e3o, Universidade Federal de Itajub\u00e1, Avenida BPS 1303, Pinheirinho, CEP 37.500\u2013903, Itajub\u00e1, MG, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,4,23]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/B978-1-4831-6724-4.50014-9"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-013-0862-3"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218126694000090"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1137\/11083928X"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2012.32.2147"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127403007047"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(03)00122-6"},{"key":"rf8","first-page":"325","volume":"19","author":"Llibre J.","journal-title":"Dyn. Contin. Discr. Impuls. Syst. Ser. B"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-5592-3"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127414500564","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T16:35:27Z","timestamp":1565195727000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127414500564"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,4]]},"references-count":9,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2014,4,23]]},"published-print":{"date-parts":[[2014,4]]}},"alternative-id":["10.1142\/S0218127414500564"],"URL":"https:\/\/doi.org\/10.1142\/s0218127414500564","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,4]]}}}