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Integrable deformations of integrable Hamiltonian systems |
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| Authors: | Andrzej J. Maciejewski Maria Przybylska |
| Affiliation: | a Institute of Astronomy, University of Zielona Góra, Licealna 9, PL-65-417, Zielona Góra, Poland b Institute of Physics, University of Zielona Góra, Licealna 9, PL-65-417, Zielona Góra, Poland |
| Abstract: | We give new effective necessary conditions for the integrability of nonhomogeneous potentials which are sums of two homogeneous terms. These conditions were deduced from an analysis of the differential Galois group of variational equations. We apply the obtained result to polynomial perturbations of linear oscillator with two degrees of freedom. |
| Keywords: | Differential Galois integrability obstructions Differential Galois theory Integrability Non-integrability Hamilton systems |
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