Variational destruction of invariant circles
Variational destruction of invariant circles
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DOI：
10.3934/dcds.2012.32.4429
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发表时间：
2011-06
期刊：
影响因子：
--
通讯作者：
Lin Wang
中科院分区：
文献类型：
--
作者：
Lin Wang
We construct a sequence of generating functions $(h_n)_{n\in\N}$, arbitrarily close to an integrable system in the $C^r$ topology with $r<4$ for $n$ large enough. With the variational method, we prove that for a given rotation number $\omega$ and $n$ large enough, the exact monotone area-preserving twist maps generated by $(h_n)_{n\in\N}$ admit no invariant circles with rotation number $\omega$.
