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Regular and Chaotic Dynamics, 2001, Volume 6, Issue 3, Pages 277–290
DOI: https://doi.org/10.1070/RD2001v006n03ABEH000177
(Mi rcd845)
 

This article is cited in 2 scientific papers (total in 2 papers)

On the Dynamical Meaning of the Picard–Vessiot Theory

Juan J. Morales-Ruiz, Josep Maria Peris

Departament de Matemàtica Aplicada II, Universitat Politècnica de Catalunya, Pau Gargallo 5, E-08028 Barcelona, Spain
Citations (2)
Abstract: In this paper we present a dynamical interpretation of the Differential Galois Theory of Linear Differential Equations (also called the Picard-Vessiot Theory). The key point is that when a linear differential equation is not solvable in closed form then by a theorem of Tits the monodromy group for fuchsian equations (or a generalization of it for irregular singularities: the Ramis monodromy group) contains a free non-abelian group. Roughly this free group gives us a very complicated dynamics on some suitable spaces.
Received: 01.08.2000
Bibliographic databases:
Document Type: Article
MSC: 12H05, 34K23, 34M35
Language: English
Citation: Juan J. Morales-Ruiz, Josep Maria Peris, “On the Dynamical Meaning of the Picard–Vessiot Theory”, Regul. Chaotic Dyn., 6:3 (2001), 277–290
Citation in format AMSBIB
\Bibitem{MorPer01}
\by Juan J. Morales-Ruiz, Josep Maria Peris
\paper On the Dynamical Meaning of the Picard–Vessiot Theory
\jour Regul. Chaotic Dyn.
\yr 2001
\vol 6
\issue 3
\pages 277--290
\mathnet{http://mi.mathnet.ru/rcd845}
\crossref{https://doi.org/10.1070/RD2001v006n03ABEH000177}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1860147}
\zmath{https://zbmath.org/?q=an:0987.12003}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2001RCD.....6..277M}
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  • This publication is cited in the following 2 articles:
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