16 citations · 30 across the 13 of their papers we have counts for
4 papers · 2 filters
Towards sharp regularity: Full-dimensional tori in vector fields over
Zhicheng Tong, Yong Li
We consider the linearization of a perturbed vector field over the infinite-dimensional torus , and determine the sharp regularity requirement…
Towards continuity: Universal frequency-preserving KAM persistence and remaining regularity
Zhicheng Tong, Yong Li
Beyond Hölder's type, this paper mainly concerns the persistence and remaining regularity of an individual frequency-preserving KAM torus in a finitely differentiable Hamiltonian s…
Moser's Theorem with Frequency-preserving
Chang Liu, Zhicheng Tong, Yong Li
This paper mainly concerns the KAM persistence of the mapping with intersection property, where…
Universal frequency-preserving KAM persistence via modulus of continuity
Zhicheng Tong, Yong Li
In this paper, we study the persistence and remaining regularity of KAM invariant torus under sufficiently small perturbations of a Hamiltonian function together with its derivativ…