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arXiv · 2111.07714

Elliptic fixed points with an invariant foliation: Some facts and more questions

Alain Chenciner·David Sauzin·Shanzhong Sun·Qiaoling Wei
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Abstract

We address the following question: let F:(R^2,0)->(R^2,0) be an analytic local diffeomorphism defined in the neighborhood of the non resonant elliptic fixed point 0 and let \Phi 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 \Phi and N?

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Alain Chenciner, David Sauzin, Shanzhong Sun, Qiaoling Wei. 2021-11-15. Elliptic fixed points with an invariant foliation: Some facts and more questions. https://doi.org/10.1134/s1560354722010063

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