1 citations · 3 across the 4 of their papers we have counts for
4 papers
Construction of finite differentiable quasi-periodic Schrödinger operators with cantor spectrum
Jiawei He, Hongyu Cheng
In this paper, we present an approach for explicitly constructing quasi-periodic Schrödinger operators with Cantor spectrum with potential. Additionally, we provide polynomia…
Invariant tori for area-preserving maps with ultra-differentiable perturbation and Liouvillean frequency
Hongyu Cheng, Shimin Wang, Fenfen Wang
We prove the existence of invariant tori to the area-preserving maps defined on \begin{equation*} \bar{x}=F(x,θ), \qquad \barθ=θ+α\, \,(α\in \mathb…
Global rigidity for ultra-differentiable quasiperiodic cocycles and its spectral applications
Hongyu Cheng, Lingrui Ge, Jiangong You +1
For quasiperiodic Schrödinger operators with one-frequency analytic potentials, from dynamical systems side, it has been proved that the corresponding quasiperiodic Schrödinger coc…
Response solutions to the quasi-periodically forced systems with degenerate equilibrium: A simple proof of a result of W. Si and J. Si. and extensions
Hongyu Cheng, Rafael de la Llave, Fenfen Wang
We give a simple proof of the existence of response solutions in some quasi-periodically forced systems with a degenerate fixed points. The same questions were answered in \cite{ss…