Elliptic Fixed Points with an Invariant Foliation: Some Facts and More Questions
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DOI: 10.1134/s1560354722010063
Abstract: We address the following question: let $$F:(\mathbb{R}^{2},0)\to(\mathbb{R}^{2},0)$$ be an analytic local diffeomorphism defined in the neighborhood of the nonresonant elliptic fixed point 0 and let $$\Phi$$ be a formal conjugacy to a normal form $$N$$… read more here.
Keywords: points invariant; fixed points; invariant foliation; elliptic fixed ... See more keywords