2026-04-14T04:58:06Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/4629072026-03-13T10:21:14Zcom_2072_98col_2072_378192

Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line Da Cruz, Leonardo Pereira Costa Torregrosa, Joan Center-focus Cyclicity Limit cycles Weak-focus order Lyapunov quantities Altres ajuts: acords transformatius de la UAB We solve the center-focus problem in a class of piecewise quadratic polynomial differential systems with an invariant straight line. The separation curve is also a straight line which is not invariant. We provide families having at the origin a weak-foci of maximal order. In the continuous class, the cyclicity problem is also solved, being 3 such maximal number. Moreover, for the discontinuous class but without sliding segment, we prove the existence of 7 limit cycles of small amplitude. 2022 Article https://ddd.uab.cat/record/264063 urn:10.1016/j.jmaa.2022.126256 urn:oai:ddd.uab.cat:264063 urn:scopus_id:85130914253 urn:articleid:10960813v514n1a126256 urn:gsduab:5567 urn:oai:egreta.uab.cat:publications/798d6c4d-64d7-4d71-b1df-61e698b6d8d0 eng Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 Agencia Estatal de Investigación PID2019-104658GB-I00 Agencia Estatal de Investigación CEX2020-001084-M European Commission 777911 Journal of mathematical analysis and applications ; Vol. 514, Issue 1 (October 2022), art. 126256 open access Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades. https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf