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Degenerate lower dimensional invariant tori in reversible system

  • * Corresponding author: Shengqing Hu

    * Corresponding author: Shengqing Hu 
The second author is supported by NNSF grant 11231001
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  • In this paper, we are concerned with the existence of lower dimensional invariant tori in nearly integrable reversible systems. By KAM method, we prove that under some reasonable assumptions, there are many so-called degenerate lower dimensional invariant tori, that is one of normal frequencies is zero.

    Mathematics Subject Classification: Primary: 37J40; Secondary: 70K43.


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