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