arXiv:2003.01487 Abstract | arXiv Analytics

arXiv:2003.01487 [math.DS]Abstract References Reviews Resources

On linear stability of KAM tori via the Craig-Wayne-Bourgain method

Xiaolong He, Jia Shi, Yunfeng Shi, Xiaoping Yuan

Published 2020-03-03Version 1

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.

Categories: math.DS

Keywords: linear stability, kam tori, craig-wayne-bourgain method, cwb method, melnikovs persistency theorem

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