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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… Click to show full 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 $$N$$ . Supposing $$F$$ leaves invariant the foliation by circles centered at $$0$$ , what is the analytic nature of $$\Phi$$ and $$N$$ ?
Keywords:
points invariant;
fixed points;
invariant foliation;
elliptic fixed;
foliation facts
Journal Title: Regular and Chaotic Dynamics
Year Published: 2022
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Journal Title: Regular and Chaotic Dynamics
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!