Galosian Obstructions to Integrability of Hamiltonian Systems II

By J. J. M. Ruiz, J. Ramis. 2001

137 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e3275de155d68d0d81df4abca9c79dccb899f761

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In Discrete Mathematics and Combinatorics

1. Juan J. Morales-Ruiz
2. J. Ramis

In Mathematical Physics

1. Juan J. Morales-Ruiz
2. J. Ramis
3. Alain Chenciner

Citations in the corpus

• Darboux points and integrability of Hamiltonian systems with homogeneous polynomial potential (2005, background): “LaterZiglininvestigationsweredevelopedbyA.Baider, R.C.Churchill, J.J.Morales-Ruiz, D. L. Rod, C. Sim´ o, and M. F. Singer by a differential Galois approach, see [7; 5; 35; 30; 32 ; 33; 1; 2]. The main theorem of this theory formulates necessary conditions for integrability of the investigated Hamil”
• A Note on the Non-Integrability of Some Hamilitonian Systems with a Homogeneous Potential (2001, methodology): “over along , and we can obtain, also, the normal variational equations (NVE) along . These variational equations are given by holomorphic (re sp. meromorphic) connections over and it is possible to interpret them as meromo rphic linear differential equations over . (For more details see [ 4 ].)”
• Algebraic proof of the non-integrability of Hill's problem (2005, background): “and the group �G0 does not change; this is a consequence of [ 9, Theorem 5 ] (see also [8,”