Adiabatic limits of closed orbits for some Newtonian systems in Rn
Abstract
We deal with a Newtonian system like x'' + V'(x) = 0. We suppose that V: n possesses an (n-1)-dimensional compact manifold M of critical points, and we prove the existence of arbitrarity slow periodic orbits. When the period tends to infinity these orbits, rescaled in time, converge to some closed geodesics on M.
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