Elliptic fixed points with an invariant foliation: some facts and more questions

DOI10.1134/S1560354722010063zbMath1496.37039arXiv2111.07714MaRDI QIDQ2125706

Qiaoling Wei, Shanzhong Sun, David Sauzin, Alain Chenciner

Publication date: 14 April 2022

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.07714

zbMATH Keywords

normal formArnold familyweakly attracting fixed point

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Normal forms for dynamical systems (37G05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

• Convergence or generic divergence of the Birkhoff normal form
• Normal forms of local diffeomorphisms on the real line
• Siegel discs, Herman rings and the Arnold family
• Local Contractions and a Theorem of Poincare
• Perturbing a Planar Rotation: Normal Hyperbolicity and Angular Twist
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