论文标题
$ c^\ infty $ nekhoroshev定理的简单证明
A simple proof for a $C^\infty$ Nekhoroshev theorem
论文作者
论文摘要
我们证明了Nekhoroshev的$ C^\ Infty $版本，该版本估算了靠近可集成的汉密尔顿系统的稳定性时代。我们给出的证明是原始的Nekhoroshev证明的一种变体，它是在全球范围内首先共轭的，在相位空间中，最多剩下的剩余时间是正常形式。然后，我们在归一化变量中执行证明的几何部分。结果，我们获得了比通常的证明。
We prove a $C^\infty$ version of the Nekhoroshev's estimate on the stability times of the actions in close to integrable Hamiltonian systems. The proof we give is a variant of the original Nekhoroshev's proof and it consists in first conjugating, globally in the phase space, and up to a small remainder, the system to a normal form. Then we perform the geometric part of the proof in the normalized variables. As a result, we obtain a proof which is simpler than the usual ones.
