<?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>2026-04-17T17:23:02Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2072/486019" metadataPrefix="oai_dc">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2072/486019</identifier><datestamp>2025-08-31T18:27:46Z</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>The easiest polynomial differential systems in R^3 having an invariant cylinder</dc:title>
   <dc:creator>Llibre, Jaume</dc:creator>
   <dc:creator>Serantola, Leonardo P.</dc:creator>
   <dc:subject>Polynomial differential systems in R3</dc:subject>
   <dc:subject>Hyperbolic cylinder</dc:subject>
   <dc:subject>Parabolic cylinder</dc:subject>
   <dc:subject>Elliptic cylinder</dc:subject>
   <dc:description>Altres ajuts: Reial Acadèmia de Ciències i Arts de Barcelona</dc:description>
   <dc:description>This paper answers the following two questions: What are the easiest polynomial differential systems in R3 having an invariant hyperbolic, parabolic or elliptic cylinder?, and for such polynomial differential systems what are their phase portraits on such invariant cylinders?</dc:description>
   <dc:date>2025</dc:date>
   <dc:type>Article</dc:type>
   <dc:identifier>https://ddd.uab.cat/record/312860</dc:identifier>
   <dc:identifier>urn:10.17398/2605-5686.40.1.121</dc:identifier>
   <dc:identifier>urn:oai:ddd.uab.cat:312860</dc:identifier>
   <dc:identifier>urn:scopus_id:105007530936</dc:identifier>
   <dc:identifier>urn:articleid:26055686v40n1p121</dc:identifier>
   <dc:identifier>urn:gsduab:5926</dc:identifier>
   <dc:identifier>urn:oai:egreta.uab.cat:publications/24964cb3-7e80-4a69-9f94-2fa1dfa7235b</dc:identifier>
   <dc:identifier>http://hdl.handle.net/2072/486019</dc:identifier>
   <dc:language>eng</dc:language>
   <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>Extracta Mathematicae ; Vol. 40, Núm. 1 (2025), p. 121-141</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, la comunicació pública de l'obra i la creació d'obres derivades, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original.</dc:rights>
   <dc:rights>https://creativecommons.org/licenses/by-nc/4.0/</dc:rights>
   <dc:format>application/pdf</dc:format>
   <dc:publisher/>
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