<?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>2026-04-17T20:47:30Z</responseDate><request verb="GetRecord" identifier="oai:www.recercat.cat:2072/410445" metadataPrefix="oai_dc">https://recercat.cat/oai/request</request><GetRecord><record><header><identifier>oai:recercat.cat:2072/410445</identifier><datestamp>2024-11-24T23:30:12Z</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>Polynomial and rational integrability of polynomial Hamiltonian systems</dc:title>
   <dc:creator>Llibre, Jaume</dc:creator>
   <dc:creator>Stoica, Cristina</dc:creator>
   <dc:creator>Valls, Clàudia</dc:creator>
   <dc:description>Agraïments/Ajudes: The third author was partially supported by FCT through CAMGDS, Lisbon.</dc:description>
   <dc:description>Within the class of canonical polynomial Hamiltonian systems anti-symmetric under phase-space involutions, we generalize some results on the existence of Darboux polynomial and rational first integrals for "kinetic plus potential" systems to general systems.</dc:description>
   <dc:date>2012</dc:date>
   <dc:type>Article</dc:type>
   <dc:identifier>https://ddd.uab.cat/record/150511</dc:identifier>
   <dc:identifier>urn:oai:ddd.uab.cat:150511</dc:identifier>
   <dc:identifier>urn:gsduab:3259</dc:identifier>
   <dc:identifier>urn:oai:egreta.uab.cat:publications/dd2e190f-1d8f-40db-878a-6b3e449075ca</dc:identifier>
   <dc:identifier>urn:scopus_id:84863476537</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>Electronic journal of differential equations ; Vol. 2012 Núm. 108 (2012), p. 1-6</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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