@article{AFST_1999_6_8_1_125_0,
author = {Morales-Ruiz, Juan J. and Maria Peris, Josep},
title = {On a galoisian approach to the splitting of separatrices},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {125--141},
publisher = {Universit\'e Paul Sabatier. Facult\'e des sciences},
address = {Toulouse},
volume = {Ser. 6, 8},
number = {1},
year = {1999},
mrnumber = {1721562},
zbl = {0971.34076},
language = {en},
url = {http://www.numdam.org/item/AFST_1999_6_8_1_125_0/}
}
TY - JOUR AU - Morales-Ruiz, Juan J. AU - Maria Peris, Josep TI - On a galoisian approach to the splitting of separatrices JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1999 SP - 125 EP - 141 VL - 8 IS - 1 PB - Université Paul Sabatier. Faculté des sciences PP - Toulouse UR - http://www.numdam.org/item/AFST_1999_6_8_1_125_0/ LA - en ID - AFST_1999_6_8_1_125_0 ER -
%0 Journal Article %A Morales-Ruiz, Juan J. %A Maria Peris, Josep %T On a galoisian approach to the splitting of separatrices %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1999 %P 125-141 %V 8 %N 1 %I Université Paul Sabatier. Faculté des sciences %C Toulouse %U http://www.numdam.org/item/AFST_1999_6_8_1_125_0/ %G en %F AFST_1999_6_8_1_125_0
Morales-Ruiz, Juan J.; Maria Peris, Josep. On a galoisian approach to the splitting of separatrices. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 8 (1999) no. 1, pp. 125-141. http://www.numdam.org/item/AFST_1999_6_8_1_125_0/
[1] ), ), ) and ) .- On the infinitesimal Geometry of Integrate Systems, Preprint 1992. | MR
[2] .), ). - On the determination of Ziglin monodromy Groups, S.I.A.M. J. Math. Anal. 22 (1991), pp. 1790-1802. | MR | Zbl
[3] ), ) and ) .- Symmetric Connections and the Geometry of Doubly-Periodic Floquet Theory, Preprint 1996.
[4] ) . - Nonintegrability of some Hamiltonian Systems, Scattering and Analytic Continuation, Commun. Math. Phys. 166 (1994), pp. 255-277. | MR | Zbl
[5] ) .- An Introduction to Differential Algebra, Hermann 1976. | MR
[6] ) . - A conjecture in the arithmetic theory of differential equations, Bull. Soc. Math. France 110 (1982), pp. 203-239. | Numdam | MR | Zbl
[7] ) .- Complex Algebraic Curves, Cambridge Univ. Press 1992. | MR | Zbl
[8] ) . - An Algorithm for Solving Second Order Linear Homogeneous Differential Equations, J. Symb. Comput. 2, (1986), pp. 3-43. | MR | Zbl
[9] ) .- Hamiltonian systems with loops of a separatrix of a saddlecenter, Sel. Math. Sov. 10 (1991), pp. 297-306. | MR | Zbl
[10] ) and ) .- Théorie de Galois différentielle et resommation, Computer Algebra and Differential Equations, E. Tournier Ed., Academic Press 1989, pp. 117-214. | MR | Zbl
[11] ) and ) .- Galoisian obstructions to integrability of Hamiltonian systems, In preparation.
[12] ) and ) .- Picard-Vessiot Theory and Ziglin's Theorem, J. Diff. Eq. 107 (1994), pp. 140-162. | MR | Zbl
[13] ) and ) . - Non integrability criteria for Hamiltonians in the case of Lamé Normal Variational Equations, J. Diff. Eq. 129 (1996), pp. 111-135. | MR | Zbl
[14] ) .- Introduction to the theory of Linear Differential Equations, Oxford Univ. Press 1936. | JFM | Zbl
[15] ) .- An outline of Differential Galois Theory, Computer Algebra and Differential Equations, E. Tournier Ed., Academic Press 1989, pp. 3-57. | MR | Zbl
[16] ) and ) .- A Course of Modern Analysis, Cambridge Univ. Press 1927. | JFM
[17] ) .- Branching of solutions and non-existence of first integrals in Hamiltonian mechanics I, Funct. Anal. Appl. 16 (1982), pp. 181-189. | Zbl
[18] ) .- Branching of solutions and non-existence of first integrals in Hamiltonian mechanics II, Funct. Anal. Appl. 17 (1983), pp. 6-17. | Zbl
