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<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Integrable and superintegrable systems associated with multi-sums of products</title><author><name sortKey="Van Der Kamp, Peter H" sort="Van Der Kamp, Peter H" uniqKey="Van Der Kamp P" first="Peter H." last="Van Der Kamp">Peter H. Van Der Kamp</name><affiliation><nlm:aff id="af1"><addr-line>Department of Mathematics</addr-line>,<institution>La Trobe University</institution>,<addr-line>Bundoora (Melbourne) Victoria 3086, Australia</addr-line></nlm:aff></affiliation></author><author><name sortKey="Kouloukas, Theodoros E" sort="Kouloukas, Theodoros E" uniqKey="Kouloukas T" first="Theodoros E." last="Kouloukas">Theodoros E. Kouloukas</name><affiliation><nlm:aff id="af1"><addr-line>Department of Mathematics</addr-line>,<institution>La Trobe University</institution>,<addr-line>Bundoora (Melbourne) Victoria 3086, Australia</addr-line></nlm:aff></affiliation></author><author><name sortKey="Quispel, G R W" sort="Quispel, G R W" uniqKey="Quispel G" first="G. R. W." last="Quispel">G. R. W. Quispel</name><affiliation><nlm:aff id="af1"><addr-line>Department of Mathematics</addr-line>,<institution>La Trobe University</institution>,<addr-line>Bundoora (Melbourne) Victoria 3086, Australia</addr-line></nlm:aff></affiliation></author><author><name sortKey="Tran, Dinh T" sort="Tran, Dinh T" uniqKey="Tran D" first="Dinh T." last="Tran">Dinh T. Tran</name><affiliation><nlm:aff id="af1"><addr-line>Department of Mathematics</addr-line>,<institution>La Trobe University</institution>,<addr-line>Bundoora (Melbourne) Victoria 3086, Australia</addr-line></nlm:aff></affiliation></author><author><name sortKey="Vanhaecke, Pol" sort="Vanhaecke, Pol" uniqKey="Vanhaecke P" first="Pol" last="Vanhaecke">Pol Vanhaecke</name><affiliation><nlm:aff id="af2"><addr-line>Laboratoire de Mathématiques et Applications, UMR 7348 du CNRS</addr-line>,<institution>Université de Poitiers</institution>,<addr-line>86962 Futuroscope Chasseneuil Cedex, France</addr-line></nlm:aff></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">PMC</idno><idno type="pmid">25484607</idno><idno type="pmc">4241012</idno><idno type="url">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4241012</idno><idno type="RBID">PMC:4241012</idno><idno type="doi">10.1098/rspa.2014.0481</idno><date when="2014">2014</date><idno type="wicri:Area/Pmc/Corpus">001B14</idno><idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Corpus" wicri:corpus="PMC">001B14</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a" type="main">Integrable and superintegrable systems associated with multi-sums of products</title><author><name sortKey="Van Der Kamp, Peter H" sort="Van Der Kamp, Peter H" uniqKey="Van Der Kamp P" first="Peter H." last="Van Der Kamp">Peter H. Van Der Kamp</name><affiliation><nlm:aff id="af1"><addr-line>Department of Mathematics</addr-line>,<institution>La Trobe University</institution>,<addr-line>Bundoora (Melbourne) Victoria 3086, Australia</addr-line></nlm:aff></affiliation></author><author><name sortKey="Kouloukas, Theodoros E" sort="Kouloukas, Theodoros E" uniqKey="Kouloukas T" first="Theodoros E." last="Kouloukas">Theodoros E. Kouloukas</name><affiliation><nlm:aff id="af1"><addr-line>Department of Mathematics</addr-line>,<institution>La Trobe University</institution>,<addr-line>Bundoora (Melbourne) Victoria 3086, Australia</addr-line></nlm:aff></affiliation></author><author><name sortKey="Quispel, G R W" sort="Quispel, G R W" uniqKey="Quispel G" first="G. R. W." last="Quispel">G. R. W. Quispel</name><affiliation><nlm:aff id="af1"><addr-line>Department of Mathematics</addr-line>,<institution>La Trobe University</institution>,<addr-line>Bundoora (Melbourne) Victoria 3086, Australia</addr-line></nlm:aff></affiliation></author><author><name sortKey="Tran, Dinh T" sort="Tran, Dinh T" uniqKey="Tran D" first="Dinh T." last="Tran">Dinh T. Tran</name><affiliation><nlm:aff id="af1"><addr-line>Department of Mathematics</addr-line>,<institution>La Trobe University</institution>,<addr-line>Bundoora (Melbourne) Victoria 3086, Australia</addr-line></nlm:aff></affiliation></author><author><name sortKey="Vanhaecke, Pol" sort="Vanhaecke, Pol" uniqKey="Vanhaecke P" first="Pol" last="Vanhaecke">Pol Vanhaecke</name><affiliation><nlm:aff id="af2"><addr-line>Laboratoire de Mathématiques et Applications, UMR 7348 du CNRS</addr-line>,<institution>Université de Poitiers</institution>,<addr-line>86962 Futuroscope Chasseneuil Cedex, France</addr-line></nlm:aff></affiliation></author></analytic><series><title level="j">Proceedings. Mathematical, Physical, and Engineering Sciences / The Royal Society</title><idno type="ISSN">1364-5021</idno><idno type="eISSN">1471-2946</idno><imprint><date when="2014">2014</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>We construct and study certain Liouville integrable, superintegrable and non-commutative integrable systems, which are associated with multi-sums of products.</p></div></front></TEI><pmc article-type="research-article"><pmc-comment>The publisher of this article does not allow downloading of the full text in XML form.</pmc-comment>
<front><journal-meta><journal-id journal-id-type="nlm-ta">Proc Math Phys Eng Sci</journal-id><journal-id journal-id-type="iso-abbrev">Proc. Math. Phys. Eng. Sci</journal-id><journal-id journal-id-type="publisher-id">RSPA</journal-id><journal-id journal-id-type="hwp">royprsa</journal-id><journal-title-group><journal-title>Proceedings. Mathematical, Physical, and Engineering Sciences / The Royal Society</journal-title></journal-title-group><issn pub-type="ppub">1364-5021</issn><issn pub-type="epub">1471-2946</issn><publisher><publisher-name>The Royal Society Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="pmid">25484607</article-id><article-id pub-id-type="pmc">4241012</article-id><article-id pub-id-type="doi">10.1098/rspa.2014.0481</article-id><article-id pub-id-type="publisher-id">rspa20140481</article-id><article-categories><subj-group subj-group-type="hwp-journal-coll"><subject>1008</subject><subject>120</subject><subject>59</subject></subj-group><subj-group subj-group-type="heading"><subject>Research Articles</subject></subj-group></article-categories><title-group><article-title>Integrable and superintegrable systems associated with multi-sums of products</article-title><alt-title alt-title-type="short">Multi-sums of products and integrability</alt-title></title-group><contrib-group><contrib contrib-type="author"><name><surname>van der Kamp</surname><given-names>Peter H.</given-names></name><xref ref-type="aff" rid="af1">1</xref><xref ref-type="corresp" rid="cor1"></xref></contrib><contrib contrib-type="author"><name><surname>Kouloukas</surname><given-names>Theodoros E.</given-names></name><xref ref-type="aff" rid="af1">1</xref></contrib><contrib contrib-type="author"><name><surname>Quispel</surname><given-names>G. R. W.</given-names></name><xref ref-type="aff" rid="af1">1</xref></contrib><contrib contrib-type="author"><name><surname>Tran</surname><given-names>Dinh T.</given-names></name><xref ref-type="aff" rid="af1">1</xref></contrib><contrib contrib-type="author"><name><surname>Vanhaecke</surname><given-names>Pol</given-names></name><xref ref-type="aff" rid="af2">2</xref></contrib></contrib-group><aff id="af1"><label>1</label><addr-line>Department of Mathematics</addr-line>,<institution>La Trobe University</institution>,<addr-line>Bundoora (Melbourne) Victoria 3086, Australia</addr-line></aff><aff id="af2"><label>2</label><addr-line>Laboratoire de Mathématiques et Applications, UMR 7348 du CNRS</addr-line>,<institution>Université de Poitiers</institution>,<addr-line>86962 Futuroscope Chasseneuil Cedex, France</addr-line></aff><author-notes><corresp id="cor1">e-mail: <email>peterhvanderkamp@gmail.com</email></corresp></author-notes><pub-date pub-type="ppub"><day>8</day><month>12</month><year>2014</year></pub-date><volume>470</volume><issue>2172</issue><elocation-id>20140481</elocation-id><history><date date-type="received"><day>17</day><month>6</month><year>2014</year></date><date date-type="accepted"><day>15</day><month>9</month><year>2014</year></date></history><permissions><copyright-statement>© 2014 The Author(s) Published by the Royal Society. All rights reserved.</copyright-statement><copyright-year>2014</copyright-year></permissions><self-uri content-type="pdf" xlink:type="simple" xlink:href="rspa20140481.pdf"></self-uri><abstract><p>We construct and study certain Liouville integrable, superintegrable and non-commutative integrable systems, which are associated with multi-sums of products.</p></abstract><kwd-group><kwd>integrable systems</kwd><kwd>Lax representation</kwd><kwd>Lotka–Volterra system</kwd><kwd>superintegrability</kwd><kwd>Kahan discretization</kwd></kwd-group><custom-meta-group><custom-meta><meta-name>cover-date</meta-name><meta-value>December 8, 2014</meta-value></custom-meta></custom-meta-group></article-meta></front></pmc></record>Pour manipuler ce document sous Unix (Dilib)
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