Differential Galois Theory and Lie Symmetries

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dc.contributor.authorBlázquez-Sanz, D.
dc.contributor.authorMorales-Ruiz, J.J.
dc.contributor.authorJacques-Arthur Weil
dc.date.accessioned2019-02-13T17:09:53Z
dc.date.available2019-02-13T17:09:53Z
dc.date.issued2015
dc.description.abstractWe study the interplay between the differential Galois group and the Lie algebra of infinitesimal symmetries of systems of linear differential equations. We show that some symmetries can be seen as solutions of a hierarchy of linear differential systems. We show that the existence of rational symmetries constrains the differential Galois group in the system in a way that depends of the Maclaurin series of the symmetry along the zero solution.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Algebraic Methods in Dynamical Systems. The full collection is available at http://www.emis.de/journals/SIGMA/AMDS2014.html. The authors thank their colleagues for interesting discussions that encouraged them to write this paper, especially those attending the meeting Algebraic Methods in Dynamical Systems 2014. David Bl´azquez-Sanz acknowledges Universidad Nacional de Colombia for supporting his research through project ref. HERMES-27984. Juan J. Morales-Ruiz research has been also partially supported by the Spanish MINECO-FEDER Grant MTM2012-31714. We thank the anonymous referees for their remarks and suggestions.uk_UA
dc.identifier.citationDifferential Galois Theory and Lie Symmetries / D. Blázquez-Sanz, J.J. Morales-Ruiz, Jacques-Arthur Weil // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 22 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 12H05; 34M15; 34A26
dc.identifier.otherDOI:10.3842/SIGMA.2015.092
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147127
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleDifferential Galois Theory and Lie Symmetriesuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік