Formal first integrals along solutions of differential systems I

DOI10.1145/1993886.1993896zbMath1323.34097OpenAlexW1981987468MaRDI QIDQ5254149

Sergi Simon, Ainhoa Aparicio Monforte, Jacques-Arthur Weil, Moulay A. Barkatou

Publication date: 9 June 2015

Published in: Proceedings of the 36th international symposium on Symbolic and algebraic computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1993886.1993896

zbMATH Keywords

integrabilitycomputer algebrarational solutionsdifferential Galois theoryfirst integralslinear differential systems

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Variational methods involving nonlinear operators (47J30) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

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Liouville integrability: an effective Morales-Ramis-Simó theorem ⋮ Linearised higher variational equations ⋮ Picard-Vessiot theory and integrability ⋮ Conditions and evidence for non-integrability in the Friedmann-Robertson-Walker Hamiltonian

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