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Persistence of Degenerate Lower Dimensional Invariant Tori in Reversible Systems with Bruno Non-degeneracy Conditions
Qualitative Theory of Dynamical Systems ( IF 1.9 ) Pub Date : 2021-01-05 , DOI: 10.1007/s12346-020-00439-5 Xiaomei Yang , Junxiang Xu
中文翻译:
具有布鲁诺非简并性条件的可逆系统中简并性低维不变环的持续性
更新日期:2021-01-05
Qualitative Theory of Dynamical Systems ( IF 1.9 ) Pub Date : 2021-01-05 , DOI: 10.1007/s12346-020-00439-5 Xiaomei Yang , Junxiang Xu
In this paper we consider a class of degenerate reversible systems with Bruno non-degeneracy conditions, and prove the persistence of a lower dimensional invariant torus, whose frequency vector is only a small dilation of the prescribed one.
中文翻译:
具有布鲁诺非简并性条件的可逆系统中简并性低维不变环的持续性
在本文中,我们考虑了一类具有Bruno非简并条件的简并可逆系统,并证明了其维数不变的低维不变环的持续性。