Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1867745 | Physics Letters A | 2008 | 5 Pages |
Abstract
We show that if a holomorphic Hamiltonian system is holomorphically integrable in the non-commutative sense in a neighbourhood of a non-equilibrium phase curve which is located at a regular level of the first integrals, then the identity component of the differential Galois group of the variational equations along the phase curve is Abelian. Thus necessary conditions for the commutative and non-commutative integrability given by the differential Galois approach are the same.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Andrzej J. Maciejewski, Maria Przybylska,