Elliptic Fixed Points with an Invariant Foliation: Some Facts and More Questions - Archive ouverte HAL Access content directly
Journal Articles Regular and Chaotic Dynamics Year : 2022

Elliptic Fixed Points with an Invariant Foliation: Some Facts and More Questions

(1) , (1) , ,
1

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 $Φ$ 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 $Φ$ and $N$?

Dates and versions

insu-03718990 , version 1 (10-07-2022)

Identifiers

Cite

Alain Chenciner, David Sauzin, Shanzhong Sun, Qiaoling Wei. Elliptic Fixed Points with an Invariant Foliation: Some Facts and More Questions. Regular and Chaotic Dynamics, 2022, 27, pp.43-64. ⟨10.1134/S1560354722010063⟩. ⟨insu-03718990⟩
16 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More