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

Author:

Chenciner Alain,Sauzin David,Sun Shanzhong,Wei Qiaoling

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference11 articles.

1. Arnol’d, V. I., Small Denominators: 1. Mapping the Circle onto Itself, Izv. Akad. Nauk SSSR. Ser. Mat., 1961, vol. 1, no. 1, pp. 21–86 (Russian).

2. Chen, K.-T., Normal Forms of Local Diffeomorphisms on the Real Line, Duke Math. J., 1968, vol. 35, pp. 549–555.

3. Chenciner, A., From Elliptic Fixed Points of 2D-Diffeomorphisms to Dynamics in the Circle and the Annulus, : Université Tsinghua University, (Beijing, April–May 2019), 59 pp.

4. Chenciner, A., Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist, in Geometry in History, S. G. Dani, A. Papadopoulos (Eds.), Cham: Springer, 2019, pp. 451–468.

5. Geyer, L., Siegel Discs, Herman Rings and the Arnold Family, Trans. Amer. Math. Soc., 2001, vol. 353, no. 9, pp. 3661–3683.

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