26 citations · 31 across the 10 of their papers we have counts for
14 papers · 1 filter
KAM theorem with large perturbation and application to network of Duffing oscillators
Xiaoping Yuan, Lu Chen, Jing Li
We prove that there is an invariant torus with given Diophantine frequency vector for a class of Hamiltonian systems defined by an integrable large Hamiltonian function with a larg…
On linear stability of KAM tori via the Craig-Wayne-Bourgain method
Xiaolong He, Jia Shi, Yunfeng Shi +1
In this paper, we prove the Melnikov's persistency theorem by combining the traditional Kolmogorov-Arnold-Moser (KAM) technique and the Craig-Wayne-Bourgain (CWB) method. The aim o…
Anderson Localization for Long-Range operators with Singular Potentials
Wenwen Jian, Jia Shi, Xiaoping Yuan
In this paper, we use Cartan estimate for meromorphic functions to prove Anderson localization for a class of long-range operators with singular potenials.
Anderson localization for the Maryland model with long range interactions
Jia Shi, Xiaoping Yuan
In this paper, we establish Anderson localization for the Maryland model with long range interactions.
A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications
Yuan Wu, Xiaoping Yuan
In this paper, we investigate the existence of KAM tori for an infinite dimensional Hamiltonian system with finite number of zero normal frequencies. By constructing a constant qua…
Construction of quasi-periodic solutions for delayed perturbation differential equations
Xiaolong He, Xiaoping Yuan
We employ the Craig-Wayne-Bourgain method to construct quasi-periodic solutions for delayed perturbation differential equations. Our results not only implement the existing literat…