Morales-Ruiz, Juan J.; Ramis, Jean-Pierre Integrability of dynamical systems through differential Galois theory: a practical guide. (English) Zbl 1294.37024 Acosta-Humánez, Primitivo B. (ed.) et al., Differential algebra, complex analysis and orthogonal polynomials. Jairo Charris Seminar 2007–2008, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4886-9/pbk). Contemporary Mathematics 509, 143-220 (2010). MSC: 37J30 70H07 34A05 34C14 34M15 70H06 70H33 12H05 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} and \textit{J.-P. Ramis}, Contemp. Math. 509, 143--220 (2010; Zbl 1294.37024)
Pujol, O.; Pérez, J. P.; Ramis, J. P.; Simó, C.; Simon, S.; Weil, J. A. Swinging Atwood Machine: experimental and numerical results, and a theoretical study. (English) Zbl 1189.37041 Physica D 239, No. 12, 1067-1081 (2010). MSC: 37D45 70K30 PDFBibTeX XMLCite \textit{O. Pujol} et al., Physica D 239, No. 12, 1067--1081 (2010; Zbl 1189.37041) Full Text: DOI arXiv Link
Morales-Ruiz, Juan J.; Ramis, Jean-Pierre; Simó, Carles Integrability of Hamiltonian systems and differential Galois groups of higher variational equations. (English) Zbl 1144.37023 Ann. Sci. Éc. Norm. Supér. (4) 40, No. 6, 845-884 (2007). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J30 37J35 12H05 37F10 34M35 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} et al., Ann. Sci. Éc. Norm. Supér. (4) 40, No. 6, 845--884 (2007; Zbl 1144.37023) Full Text: DOI Numdam EuDML
Morales-Ruiz, Juan J.; Ramis, Jean Pierre Galoisian obstructions to integrability of Hamiltonian systems. II. (English) Zbl 1140.37354 Methods Appl. Anal. 8, No. 1, 97-111 (2001). MSC: 37J30 70H07 34M99 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} and \textit{J. P. Ramis}, Methods Appl. Anal. 8, No. 1, 97--111 (2001; Zbl 1140.37354) Full Text: DOI
Morales-Ruiz, Juan J.; Ramis, Jean Pierre A note on the non-integrability of some Hamiltonian systems with a homogeneous potential. (English) Zbl 1140.37353 Methods Appl. Anal. 8, No. 1, 113-120 (2001). MSC: 37J30 70H07 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} and \textit{J. P. Ramis}, Methods Appl. Anal. 8, No. 1, 113--120 (2001; Zbl 1140.37353) Full Text: DOI
Morales-Ruiz, Juan J.; Ramis, Jean Pierre Galoisian obstructions to integrability of Hamiltonian systems. I. (English) Zbl 1140.37352 Methods Appl. Anal. 8, No. 1, 33-95 (2001). MSC: 37J30 70H07 34M99 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} and \textit{J. P. Ramis}, Methods Appl. Anal. 8, No. 1, 33--95 (2001; Zbl 1140.37352) Full Text: DOI
Morales-Ruiz, Juan J.; Ramis, Jean Pierre Galoisian obstructions to integrability of Hamiltonian systems: Statements and examples. (English) Zbl 0982.37061 Simó, Carles (ed.), Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19-30, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 509-513 (1999). Reviewer: Francesco Calogero (Roma) MSC: 37J30 34M35 12H20 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} and \textit{J. P. Ramis}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 509--513 (1999; Zbl 0982.37061)
Ramis, Jean-Pierre; Schäfke, Reinhard Gevrey separation of fast and slow variables. (English) Zbl 0925.70161 Nonlinearity 9, No. 2, 353-384 (1996). MSC: 70H05 34D10 37J40 PDFBibTeX XMLCite \textit{J.-P. Ramis} and \textit{R. Schäfke}, Nonlinearity 9, No. 2, 353--384 (1996; Zbl 0925.70161) Full Text: DOI Link
Ecalle, Jean; Martinet, Jean; Moussu, Robert; Ramis, Jean-Pierre Non-accumulation des cycles-limites. I. II. (Nonaccumulation of limit- cycles. I. II.). (French) Zbl 0615.58011 C. R. Acad. Sci., Paris, Sér. I 304, 375-377, 431-434 (1987). MSC: 37G15 PDFBibTeX XMLCite \textit{J. Ecalle} et al., C. R. Acad. Sci., Paris, Sér. I 304, 375--377, 431--434 (1987; Zbl 0615.58011)
Martinet, Jean; Ramis, Jean-Pierre Analytic classification of resonant saddles and foci. (English) Zbl 0596.34021 Singularities and dynamical systems, Proc. Int. Conf., Heraklion/Greece 1983, North-Holland Math. Stud. 103, 109-135 (1985). Reviewer: A.Klič MSC: 34C20 34C05 37C85 34M99 PDFBibTeX XML
Gérard, R. (ed.); Ramis, J.-P. (ed.) Differential equations and Pfaffian systems in the complex field. II. Papers presented at the seminar held in Strasbourg. (Equations différentielles et systèmes de Pfaff dans le champ complexe. II. Séminaire (Strasbourg).) (French) Zbl 0513.00007 Lecture Notes in Mathematics. 1015. Berlin etc.: Springer-Verlag. 411 p. DM 49.00; $ 19.10 (1983). MSC: 00B25 34-06 37-06 58-06 PDFBibTeX XML Full Text: DOI
Martinet, Jean; Ramis, Jean-Pierre Problèmes de modules pour des équations différentielles non linéaires du premier ordre. (French) Zbl 0546.58038 Publ. Math., Inst. Hautes Étud. Sci. 55, 63-164 (1982). Reviewer: G.N.Khimshiashvili MSC: 37G99 34A25 32B99 PDFBibTeX XMLCite \textit{J. Martinet} and \textit{J.-P. Ramis}, Publ. Math., Inst. Hautes Étud. Sci. 55, 63--164 (1982; Zbl 0546.58038) Full Text: DOI Numdam EuDML