<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-04-17T19:26:45Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2072/485855" metadataPrefix="oai_dc">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2072/485855</identifier><datestamp>2025-08-31T18:25:57Z</datestamp><setSpec>com_2072_98</setSpec><setSpec>col_2072_378192</setSpec></header><metadata><oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
   <dc:title>Limit cycles of homogeneous polynomial Kukles differential systems</dc:title>
   <dc:creator>Giné, Jaume</dc:creator>
   <dc:creator>Torregrosa, Joan</dc:creator>
   <dc:subject>Kukles differential system</dc:subject>
   <dc:subject>Limit cycles</dc:subject>
   <dc:subject>Center problem</dc:subject>
   <dc:description>We study the number of limit cycles which can bifurcate from the periodic orbits of the harmonic oscillator when it is perturbed by homogeneous polynomials of degree n, only in the second differential equation, which corresponds to the so-called Kukles systems. Moreover, the degenerate Hopf bifurcation is also studied for such systems.</dc:description>
   <dc:date>2025</dc:date>
   <dc:type>Article</dc:type>
   <dc:identifier>https://ddd.uab.cat/record/312568</dc:identifier>
   <dc:identifier>urn:10.1016/j.matcom.2025.04.045</dc:identifier>
   <dc:identifier>urn:oai:ddd.uab.cat:312568</dc:identifier>
   <dc:identifier>urn:scopus_id:105005074425</dc:identifier>
   <dc:identifier>urn:articleid:03784754v237p335</dc:identifier>
   <dc:identifier>urn:gsduab:6063</dc:identifier>
   <dc:identifier>urn:oai:egreta.uab.cat:publications/0d74c0a0-f430-4050-b4f1-c6ded48b2611</dc:identifier>
   <dc:identifier>http://hdl.handle.net/2072/485855</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:relation>Agencia Estatal de Investigación CEX2020-001084-M</dc:relation>
   <dc:relation>Agencia Estatal de Investigación PID2020-113758GB-I00</dc:relation>
   <dc:relation>Agencia Estatal de Investigación PID2022-136613NB-I00</dc:relation>
   <dc:relation>Agència de Gestió d'Ajuts Universitaris i de Recerca 2021/SGR-00113</dc:relation>
   <dc:relation>Agència de Gestió d'Ajuts Universitaris i de Recerca 2021/SGR-01618</dc:relation>
   <dc:relation>Mathematics and computers in simulation ; Vol. 237 (November 2025), p. 335-343</dc:relation>
   <dc:rights>open access</dc:rights>
   <dc:rights>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.</dc:rights>
   <dc:rights>https://creativecommons.org/licenses/by-nc-nd/4.0/</dc:rights>
   <dc:format>application/pdf</dc:format>
   <dc:publisher/>
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