Polynomial integrability of Hamiltonian systems with homogeneous potentials of degree −k
نویسندگان
چکیده
منابع مشابه
Integrability conditions for homogeneous potentials Third order integrability conditions for homogeneous potentials of degree -1
We prove an integrability criterion of order 3 for a homogeneous potential of degree−1 in the plane. Still, this criterion depends on some integer and it is impossible to apply it directly except for families of potentials whose eigenvalues are bounded. To address this issue, we use holonomic and asymptotic computations with error control of this criterion and apply it to the potential of the f...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2016
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2016.09.033