Quantitative destruction of invariant circles

2021/09/17 by Wang, Lin · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2109.08785

Abstract

For area-preserving twist maps on the annulus, we consider the problem on quantitative destruction of invariant circles with a given frequency ω of an integrable system by a trigonometric polynomial of degree N perturbation R_N with ‖R_N‖_C^r

Cited by

• Herman's converse KAM mechanism revisited
• On Non-KAM Invariant Circles for Area-Preserving Twist Maps

Related

• Variational destruction of invariant circles
• Moser's twist theorem revisited
• Regularity properties of critical invariant circles of twist maps, and their universality
• Boundaries of instability zones for symplectic twist maps
• Torsion of instability zones for conservative twist maps on the annulus