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Residues of Destructed Resonance Torus
Journal of Dynamics and Differential Equations ( IF 1.3 ) Pub Date : 2021-04-03 , DOI: 10.1007/s10884-021-09987-z
Chong-Qing Cheng , Min Zhou

In this paper, we propose a method to handle the problem of complete degeneracy in the study of lower dimensional invariant tori surviving from destructed resonant torus. As its application, we obtain a different proof of the existence of co-dimension one invariant tori. No other condition is assumed on the perturbation except for the smallness.



中文翻译:

破坏共振圆环的残基

在本文中,我们提出了一种方法来解决完全退化的问题,该方法用于研究从破坏的共振环面幸存下来的低维不变环面。作为其应用,我们获得了共维一不变花托的存在的另一种证明。除了微小以外,没有其他条件被假定为摄动。

更新日期:2021-04-04
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