DIFFERENTIAL GALOIS THEORY AND INTEGRABILITY
نویسندگان
چکیده
منابع مشابه
Differential Galois obstructions for non-commutative integrability
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...
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2009
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887809004272