Szumiński, W.; Przybylska, M. Differential Galois integrability obstructions for nonlinear three-dimensional differential systems. (English) Zbl 1431.37049 Chaos 30, No. 1, 013135, 12 p. (2020). MSC: 37J30 12H05 × Cite Format Result Cite Review PDF Full Text: DOI
Maciejewski, Andrzej J.; Przybylska, Maria; Stachowiak, Tomasz Non-integrability of Gross-Neveu systems. (English) Zbl 1088.37028 Physica D 201, No. 3-4, 249-267 (2005). MSC: 37J30 70H06 37D45 82B99 70E05 81V05 × Cite Format Result Cite Review PDF Full Text: DOI
Crespo, Teresa; Hajto, Zbigniew Differential Galois realization of double covers. (English) Zbl 1017.12005 Ann. Inst. Fourier 52, No. 4, 1017-1025 (2002). Reviewer: Andy R.Magid (Norman) MSC: 12H05 12F12 × Cite Format Result Cite Review PDF Full Text: DOI Numdam Numdam EuDML
Cormier, Olivier On Liouvillian solutions of linear differential equations of order 4 and 5. (English) Zbl 1356.12008 Proceedings of the 2001 international symposium on symbolic and algebraic computation, ISSAC ’01, London, Ontario, Canada, 2001. New York, NY: ACM Press (ISBN 1-58113-417-7). 93-100 (2001). MSC: 12H20 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Morales-Ruiz, Juan J. Meromorphic nonintegrability of Hamiltonian systems. (English) Zbl 1019.37034 Rep. Math. Phys. 48, No. 1-2, 183-194 (2001). Reviewer: Simos Ichtiaroglou (Thessaloniki) MSC: 37J30 34M35 × Cite Format Result Cite Review PDF Full Text: DOI
Cormier, Olivier; Singer, Michael F.; Ulmer, Felix Computing the Galois group of a polynomial using linear differential equations. (English) Zbl 1326.68349 Proceedings of the 2000 international symposium on symbolic and algebraic computation, ISSAC ’00, St. Andrews, Scotland, GB, 2000. New York, NY: ACM Press (ISBN 1-58113-218-2). 78-85 (2000). MSC: 68W30 12H05 × Cite Format Result Cite Review PDF Full Text: DOI
Beukers, Frits The maximal differential ideal is generated by its invariants. (English) Zbl 0978.12008 Indag. Math., New Ser. 11, No. 1, 13-18 (2000). Reviewer: Andy R.Magid (Norman) MSC: 12H20 13A50 × Cite Format Result Cite Review PDF Full Text: DOI
El Kahoui, M’hammed; Weber, Andreas Deciding Hopf bifurcations by quantifier elimination in a software-component architecture. (English) Zbl 0965.65137 J. Symb. Comput. 30, No. 2, 161-179 (2000). Reviewer: Henri Schurz (Minneapolis) MSC: 65P30 68W30 37M20 × Cite Format Result Cite Review PDF Full Text: DOI
Crespo, Teresa; Hajto, Zbigniew Primitive unimodular groups of degree 2 as differential Galois groups. (English) Zbl 1002.12005 J. Algebra 229, No. 2, 678-694 (2000). Reviewer: Nuria Vila (Barcelona) MSC: 12F12 12H05 × Cite Format Result Cite Review PDF Full Text: DOI
Morales-Ruiz, Juan J.; Peris, Josep Maria On a Galoisian approach to the splitting of separatrices. (English) Zbl 0971.34076 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 8, No. 1, 125-141 (1999). Reviewer: G.V.Khmelevskaja-Plotnikova (Namur) MSC: 34M15 12H05 12H20 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Vidunas, Raimundas Differential equations of order two with one singular point. (English) Zbl 0997.12010 J. Symb. Comput. 28, No. 4-5, 495-520 (1999). Reviewer: O.Ninnemann (Berlin) MSC: 12H05 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Fakler, Winfried On second order homogeneous linear differential equations with Liouvillian solutions. (English) Zbl 0966.12003 Theor. Comput. Sci. 187, No. 1-2, 27-48 (1997). MSC: 12H20 34A30 34M50 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Singer, Michael F.; Ulmer, Felix Linear differential equations and products of linear forms. (English) Zbl 0908.12003 J. Pure Appl. Algebra 117-118, 549-563 (1997). Reviewer: G.Christol (Paris) MSC: 12H05 34-04 × Cite Format Result Cite Review PDF Full Text: DOI
van Hoeij, Mark; Weil, Jacques-Arthur An algorithm for computing invariants of differential Galois groups. (English) Zbl 0871.68106 J. Pure Appl. Algebra 117-118, 353-379 (1997). MSC: 68W30 12H05 34A25 34A30 × Cite Format Result Cite Review PDF Full Text: DOI
Levelt, A. H. M. Differential Galois theory and tensor products. (English) Zbl 0731.12003 Indag. Math., New Ser. 1, No. 4, 439-449 (1990). Reviewer: F.Beukers (Utrecht) MSC: 12H20 12H05 × Cite Format Result Cite Review PDF Full Text: DOI
Singer, Michael F. Formal solutions of differential equations. (English) Zbl 0727.12011 J. Symb. Comput. 10, No. 1, 59-94 (1990). Reviewer: N. V. Grigorenko (Kiev) MSC: 12H05 34A05 68W30 34E05 34-02 12-02 × Cite Format Result Cite Review PDF Full Text: DOI