2 citations · 2 across the 4 of their papers we have counts for
4 papers
An Infinite-dimensional KAM Theorem with Normal Degeneracy
Jiayin Du, Lu Xu, Yong Li
In this paper, we consider a classical Hamiltonian normal form with degeneracy in normal direction. In previous results, one needs to assume that the perturbation satisfies certain…
Melnikov's persistence for completely degenerate Hamiltonian systems
Jiayin Du, Shuguan Ji, Yong Li
In this paper, we study the Melnikov's persistence for completely degenerate Hamiltonian systems with the following Hamiltonian \begin{equation*} H(x,y,u,v)=h(y)+g(u,v)+\varepsilon…
Kolmogorov's Theorem for Degenerate Hamiltonian Systems with Continuous Parameters
Jiayin Du, Yong Li, Hongkun Zhang
In this paper, we investigate Kolmogorov type theorems for small perturbations of degenerate Hamiltonian systems. These systems are index by a parameter as \( H(y,x,ξ) = \langl…
Threshold solutions for nonlocal reaction diffusion equations
He Zhang, Yong Li, Xue Yang
We study the Cauchy problem for nonlocal reaction diffusion equations with bistable nonlinearity in 1D spatial domain and investigate the asymptotic behaviors of solutions with a o…