
Agraïments: The third author is partially supported by FCT through CAMGDS, Lisbon. We characterize the analytic integrability of Hamiltonian systems with Hamiltonian H = 1/ 2 2∑ i=1 p 2 i + V (q1, q2), having homogeneous potential V (q1, q2) of degree −2.
Hamilton's equations, Natural Hamiltonian systems with 2-degrees of freedom, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, homogeneous polynomial potential, natural Hamiltonian systems with 2-degrees of freedom, Homogeneous polynomial potential
Hamilton's equations, Natural Hamiltonian systems with 2-degrees of freedom, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, homogeneous polynomial potential, natural Hamiltonian systems with 2-degrees of freedom, Homogeneous polynomial potential
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