0
2013
Impact Factor

Shanzhong Sun

Publications:

Chenciner A., Sauzin D., Sun S., Wei Q.
Elliptic Fixed Points with an Invariant Foliation: Some Facts and More Questions
2022, vol. 27, no. 1, pp.  43-64
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: normal form, Arnold family, weakly attracting fixed point
Citation: Chenciner A., Sauzin D., Sun S., Wei Q.,  Elliptic Fixed Points with an Invariant Foliation: Some Facts and More Questions, Regular and Chaotic Dynamics, 2022, vol. 27, no. 1, pp. 43-64
DOI:10.1134/S1560354722010063

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