Integrable and superintegrable systems associated with multi-sums of products
Identifieur interne : 003794 ( Main/Exploration ); précédent : 003793; suivant : 003795Integrable and superintegrable systems associated with multi-sums of products
Auteurs : Peter H. Van Der Kamp [Australie] ; Theodoros E. Kouloukas [Australie] ; G. R. W. Quispel [Australie] ; Dinh T. Tran [Australie] ; Pol Vanhaecke [France]Source :
- Proceedings. Mathematical, Physical, and Engineering Sciences / The Royal Society [ 1364-5021 ] ; 2014.
Abstract
We construct and study certain Liouville integrable, superintegrable and non-commutative integrable systems, which are associated with multi-sums of products.
Url:
DOI: 10.1098/rspa.2014.0481
PubMed: 25484607
PubMed Central: 4241012
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Pmc, to step Corpus: 001B14
- to stream Pmc, to step Curation: 001972
- to stream Pmc, to step Checkpoint: 001509
- to stream PubMed, to step Corpus: 003216
- to stream PubMed, to step Curation: 003106
- to stream PubMed, to step Checkpoint: 003106
- to stream Ncbi, to step Merge: 002082
- to stream Ncbi, to step Curation: 002082
- to stream Ncbi, to step Checkpoint: 002082
- to stream Main, to step Merge: 003825
- to stream Main, to step Curation: 003794
Le document en format XML
<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 wicri:level="1"><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>
<country xml:lang="fr">Australie</country>
<wicri:regionArea>Bundoora (Melbourne) Victoria 3086</wicri:regionArea>
</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 wicri:level="1"><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>
<country xml:lang="fr">Australie</country>
<wicri:regionArea>Bundoora (Melbourne) Victoria 3086</wicri:regionArea>
</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 wicri:level="1"><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>
<country xml:lang="fr">Australie</country>
<wicri:regionArea>Bundoora (Melbourne) Victoria 3086</wicri:regionArea>
</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 wicri:level="1"><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>
<country xml:lang="fr">Australie</country>
<wicri:regionArea>Bundoora (Melbourne) Victoria 3086</wicri:regionArea>
</affiliation>
</author>
<author><name sortKey="Vanhaecke, Pol" sort="Vanhaecke, Pol" uniqKey="Vanhaecke P" first="Pol" last="Vanhaecke">Pol Vanhaecke</name>
<affiliation wicri:level="1"><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>
<country xml:lang="fr">France</country>
<wicri:regionArea>86962 Futuroscope Chasseneuil Cedex</wicri:regionArea>
</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>
<idno type="wicri:Area/Pmc/Curation">001972</idno>
<idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Curation">001972</idno>
<idno type="wicri:Area/Pmc/Checkpoint">001509</idno>
<idno type="wicri:explorRef" wicri:stream="Pmc" wicri:step="Checkpoint">001509</idno>
<idno type="wicri:source">PubMed</idno>
<idno type="wicri:Area/PubMed/Corpus">003216</idno>
<idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Corpus" wicri:corpus="PubMed">003216</idno>
<idno type="wicri:Area/PubMed/Curation">003106</idno>
<idno type="wicri:explorRef" wicri:stream="PubMed" wicri:step="Curation">003106</idno>
<idno type="wicri:Area/PubMed/Checkpoint">003106</idno>
<idno type="wicri:explorRef" wicri:stream="Checkpoint" wicri:step="PubMed">003106</idno>
<idno type="wicri:Area/Ncbi/Merge">002082</idno>
<idno type="wicri:Area/Ncbi/Curation">002082</idno>
<idno type="wicri:Area/Ncbi/Checkpoint">002082</idno>
<idno type="wicri:doubleKey">1364-5021:2014:Van Der Kamp P:integrable:and:superintegrable</idno>
<idno type="wicri:Area/Main/Merge">003825</idno>
<idno type="wicri:Area/Main/Curation">003794</idno>
<idno type="wicri:Area/Main/Exploration">003794</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 wicri:level="1"><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>
<country xml:lang="fr">Australie</country>
<wicri:regionArea>Bundoora (Melbourne) Victoria 3086</wicri:regionArea>
</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 wicri:level="1"><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>
<country xml:lang="fr">Australie</country>
<wicri:regionArea>Bundoora (Melbourne) Victoria 3086</wicri:regionArea>
</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 wicri:level="1"><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>
<country xml:lang="fr">Australie</country>
<wicri:regionArea>Bundoora (Melbourne) Victoria 3086</wicri:regionArea>
</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 wicri:level="1"><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>
<country xml:lang="fr">Australie</country>
<wicri:regionArea>Bundoora (Melbourne) Victoria 3086</wicri:regionArea>
</affiliation>
</author>
<author><name sortKey="Vanhaecke, Pol" sort="Vanhaecke, Pol" uniqKey="Vanhaecke P" first="Pol" last="Vanhaecke">Pol Vanhaecke</name>
<affiliation wicri:level="1"><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>
<country xml:lang="fr">France</country>
<wicri:regionArea>86962 Futuroscope Chasseneuil Cedex</wicri:regionArea>
</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>
<affiliations><list><country><li>Australie</li>
<li>France</li>
</country>
</list>
<tree><country name="Australie"><noRegion><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>
</noRegion>
<name sortKey="Kouloukas, Theodoros E" sort="Kouloukas, Theodoros E" uniqKey="Kouloukas T" first="Theodoros E." last="Kouloukas">Theodoros E. Kouloukas</name>
<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>
<name sortKey="Tran, Dinh T" sort="Tran, Dinh T" uniqKey="Tran D" first="Dinh T." last="Tran">Dinh T. Tran</name>
</country>
<country name="France"><noRegion><name sortKey="Vanhaecke, Pol" sort="Vanhaecke, Pol" uniqKey="Vanhaecke P" first="Pol" last="Vanhaecke">Pol Vanhaecke</name>
</noRegion>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Asie/explor/AustralieFrV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 003794 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 003794 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Asie |area= AustralieFrV1 |flux= Main |étape= Exploration |type= RBID |clé= PMC:4241012 |texte= Integrable and superintegrable systems associated with multi-sums of products }}
Pour générer des pages wiki
HfdIndexSelect -h $EXPLOR_AREA/Data/Main/Exploration/RBID.i -Sk "pubmed:25484607" \ | HfdSelect -Kh $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd \ | NlmPubMed2Wicri -a AustralieFrV1
![]() | This area was generated with Dilib version V0.6.33. | ![]() |