R^n中某些牛顿系统闭轨道的绝热极限
Adiabatic limits of closed orbits for some Newtonian systems in R^n
摘要：
我们处理一个牛顿系统，如x“+V '（x）= 0。我们假设V：\R^n \to \R具有一个由临界点组成的n-1维紧致流形M，证明了任意慢周期轨道的存在性.当周期趋于无穷大时，这些轨道在时间上重新标度，收敛到M上的某些闭测地线。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
