1 citations · 1 across the 5 of their papers we have counts for
5 papers
Long-time Anderson Localization for the Nonlinear quasi-periodic Schrödinger Equation on
Hongzi Cong, Yunfeng Shi, W. -M. Wang
Using a Birkhoff normal form transform to impede mode transfer in a finite "barrier", we prove localization of arbitrary data for polynomially long time for the nonlinear…
Localization for random coupled harmonic oscillators on
Hongzi Cong, Yunfeng Shi, Zhihan Zhang
In this paper we consider the localization properties of coupled harmonic oscillators in random media. Each of these oscillators is restricted to the lattice . We sho…
Stickiness of KAM tori for higher dimensional beam equation
Xiucui Song, Hongzi Cong
This paper is concerned with the stickiness of invariant tori obtained by KAM technics (so-called KAM tori) for higher dimensional beam equation. We prove that the KAM tori are sti…
Stability of KAM tori for nonlinear Schrodinger equation
Cong Hongzi, Liu Jianjun, Yuan Xiaoping
It is proved that the KAM tori (thus quasi-periodic solutions) are long time stable for nonlinear Schrodinger equation.
Long time stability of KAM tori for nonlinear wave equation
Cong Hongzi, Gao Meina, Liu Jianjun
It is proved that the KAM tori (thus quasi-periodic solutions) are long time stable for infinite dimensional Hamiltonian systems generated by nonlinear wave equation, by constructi…