| Title | Adiabatic limits of closed orbits for some Newtonian systems in R-n |
| Publication Type | Journal Article |
| Year of Publication | 2001 |
| Authors | Malchiodi, A |
| Journal | Asymptotic Anal., 2001, 25, 149-181 |
| 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 |
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