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Non singular Hamiltonian systems and geodesic flows on surfaces with negative curvature

Non singular Hamiltonian systems and geodesic flows on surfaces with negative curvature

We extend here results for escapes in any given direction of the configuration space of a mechanical system with a non singular bounded at infinity homogeneus potential of degree -1, when the energy is positive. We use geometrical methods for analyzing the parallel and asymptotic escapes of this type of …