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- W1660219207 abstract "We consider a natural Hamiltonian system of $n$ degrees of freedom with a homogeneous potential. Such system is called partially integrable if it admits $1<l<n$ independent and commuting first integrals, and it is called super-integrable if it admits $n+l$, $0<l<n$ independent first integrals such that $n$ of them commute. We formulate two theorems which give easily computable and effective necessary conditions for partial and super-integrability. These conditions are derived in the frame of the Morales-Ramis theory, i.e., from an analysis of the differential Galois group of variational equations along a particular solution of the system. To illustrate an application of the formulated theorems, we investigete three and four body problems on a line and the motion in a radial potential." @default.
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- W1660219207 date "2007-01-29" @default.
- W1660219207 modified "2023-09-27" @default.
- W1660219207 title "Necessary conditions for partial and super-integrability of Hamiltonian systems with homogeneous potentia" @default.
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