@article {2001, title = {Adiabatic limits of closed orbits for some Newtonian systems in R-n}, journal = {Asymptotic Anal., 2001, 25, 149-181}, number = {SISSA;53/00/M}, year = {2001}, publisher = {SISSA Library}, abstract = {We deal with a Newtonian system like x\\\'\\\' + V\\\'(x) = 0. We suppose that V: \\\\R^n \\\\to \\\\R 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.}, url = {http://hdl.handle.net/1963/1511}, author = {Andrea Malchiodi} }