论文标题
关于KAM Tori的线性稳定性通过Craig-Wayne-Bourgain方法
On linear stability of KAM tori via the Craig-Wayne-Bourgain method
论文作者
论文摘要
在本文中，我们通过结合传统的Kolmogorov-Arnold-Moser（KAM）技术和Craig-Wayne-Bourgain（CWB）方法来证明Melnikov的持久定理。本文的目的是双重的。一种是通过使用CWB方法在没有第二个Melnikov条件的情况下建立扰动不变的Tori的线性稳定性。另一个是详细说明CWB方法，并使CWB方法更容易访问。
In this paper, we prove the Melnikov's persistency theorem by combining the traditional Kolmogorov-Arnold-Moser (KAM) technique and the Craig-Wayne-Bourgain (CWB) method. The aim of this paper is twofold. One is to establish the linear stability of the perturbed invariant tori by using the CWB method without the second Melnikov condition. The other one is to illustrate the CWB method in detail and make the CWB method more accessible.
