Elliptic fixed points with an invariant foliation: Some facts and more questions
Dynamical Systems
2022-02-16 v1
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?
Keywords
Cite
@article{arxiv.2111.07714,
title = {Elliptic fixed points with an invariant foliation: Some facts and more questions},
author = {Alain Chenciner and David Sauzin and Shanzhong Sun and Qiaoling Wei},
journal= {arXiv preprint arXiv:2111.07714},
year = {2022}
}
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28 pages