Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Overview of the differential Galois integrability conditions for non-homogeneous potentials

100%

Maciejewski A., Przybylska M.

Banach Center Publications

2011

tom 94

nr 1

221-232

We report our recent results concerning integrability of Hamiltonian systems governed by Hamilton's function of the form $H = 1/2 ∑_{i=1}^{n} p²_{i} + V(q)$, where the potential V is a finite sum of homogeneous components. In this paper we show how to find, in the differential Galois framework, computable necessary conditions for the integrability of such systems. Our main result concerns potentials of the form $V = V_k + V_K$, where $V_k$ and $V_K$ are homogeneous functions of integer degrees k and K > k, respectively. We present examples of integrable systems which were obtained by applying our main theorem.

Ograniczanie wyników

1 Banach Center Publications

1 Maciejewski A.

1 Przybylska M.

1 2011

Wyniki wyszukiwania

Overview of the differential Galois integrability conditions for non-homogeneous potentials