Elliptic Fixed Points with an Invariant Foliation: Some Facts and More Questions
Elliptic Fixed Points with an Invariant Foliation: Some Facts and More Questions
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DOI：
10.1134/s1560354722010063
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
Qiaoling Wei
中科院分区：
文献类型：
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作者：
Alain Chenciner;David Sauzin;Shanzhong Sun;Qiaoling Wei
We address the following question: let F : (R^2, 0) → (R^2, 0) be an analytic local diffeomorphism defined in the neighborhood of the nonresonant elliptic fixed point 0 and let Φ be a formal conjugacy to a normal form N. Supposing F leaves invariant the foliation by circles centered at 0, what is the analytic nature of Φ and N?
