<?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>2026-04-18T06:24:07Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2072/410646" metadataPrefix="oai_dc">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2072/410646</identifier><datestamp>2025-06-23T02:46:50Z</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>Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields</dc:title>
   <dc:creator>Colak, Ilker</dc:creator>
   <dc:creator>Llibre, Jaume</dc:creator>
   <dc:creator>Valls, Clàudia</dc:creator>
   <dc:subject>Cubic polynomial system</dc:subject>
   <dc:subject>Hamiltonian linear type center</dc:subject>
   <dc:subject>Vector fields</dc:subject>
   <dc:description>Agraïments: The first author has been supported by AGAUR FI-DGR 2010. The third author has been supported by AGAUR PIV-DGR-2010, FCT grant PTDC/MAT/117106/2010 and through CAMG SD.</dc:description>
   <dc:description>We provide normal forms and the global phase portraits in the Poincaré disk for all the Hamiltonian non-degenerate centers of linear plus cubic homogeneous planar polynomial vector fields.</dc:description>
   <dc:date>2014</dc:date>
   <dc:type>Article</dc:type>
   <dc:identifier>https://ddd.uab.cat/record/150721</dc:identifier>
   <dc:identifier>urn:10.1016/j.jde.2014.05.024</dc:identifier>
   <dc:identifier>urn:oai:ddd.uab.cat:150721</dc:identifier>
   <dc:identifier>urn:gsduab:3545</dc:identifier>
   <dc:identifier>urn:scopus_id:84902551814</dc:identifier>
   <dc:identifier>urn:wos_id:000337854000011</dc:identifier>
   <dc:identifier>urn:oai:egreta.uab.cat:publications/3c6c0dd2-f8b8-4409-9a18-e55f253a169d</dc:identifier>
   <dc:identifier>urn:articleid:10902732v257p1623</dc:identifier>
   <dc:language>eng</dc:language>
   <dc:relation>Ministerio de Ciencia e Innovación MTM2008-03437</dc:relation>
   <dc:relation>Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410</dc:relation>
   <dc:relation>European Commission 316338</dc:relation>
   <dc:relation>Journal of differential equations ; Vol. 257 (2014), p. 1623-1661</dc:relation>
   <dc:rights>open access</dc:rights>
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   <dc:rights>https://rightsstatements.org/vocab/InC/1.0/</dc:rights>
   <dc:format>application/pdf</dc:format>
   <dc:publisher/>
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