Differential Galois Theory of Algebraic Lie-Vessiot Systems

zbMath1200.34109arXiv0901.4480MaRDI QIDQ3574309

David Blázquez-Sanz, Juan J. Morales-Ruiz

Publication date: 9 July 2010

Full work available at URL: https://arxiv.org/abs/0901.4480

zbMATH Keywords

differential Galois theorydifferential equations in the complex domainLie-Vessiot systems

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Differential algebra (12H05) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15) Algebraic groups (14L99)

Related Items (9)

Darboux transformations for orthogonal differential systems and differential Galois theory ⋮ Liouville integrability: an effective Morales-Ramis-Simó theorem ⋮ Picard-Vessiot theory and integrability ⋮ On the integrability of polynomial vector fields in the plane by means of Picard-Vessiot theory ⋮ Nonintegrability of dynamical systems with homo- and heteroclinic orbits ⋮ Analytic and algebraic conditions for bifurcations of homoclinic orbits I: Saddle equilibria ⋮ Differential Galois Theory and Integration ⋮ Quasi-Lie families, schemes, invariants and their applications to Abel equations ⋮ Computing the Lie algebra of the differential Galois group: the reducible case

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