Elliptic fixed points with an invariant foliation: Some facts and more questions
Abstract
We address the following question: let F:(R2,0)->(R2,0) be an analytic local diffeomorphism defined in the neighborhood of the non resonant elliptic fixed point 0 and let 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 and N?
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