1 citations · 1 across the 10 of their papers we have counts for
10 papers
Most Probable KAM Tori in Stochastic Hamiltonian Systems Driven by Multiplicative Noise
Xinze Zhang, Yong Li, Xue Yang
This paper investigates the effect of state-dependent multiplicative noise on the integrable structure of Hamiltonian systems. Under a local high-dimensional Lamperti-type conditio…
The multi-scale KAM persistence without a scaling order for Hamiltonian systems
Weichao Qian, Yong Li, Xue Yang
The persistence of invariant tori in multi-scale Hamiltonian systems is intrinsically linked to the stability of the N-body problem. However, the existing non-degeneracy conditions…
Poisson stability of solutions for stochastic evolution equations driven by fractional Brownian motion
Xinze Zhang, Li Yong, Xue Yang
In this paper, we study the problem of Poisson stability of solutions for stochastic semi-linear evolution equation driven by fractional Brownian motion \mathrm{d} X(t)= \left( AX(…
Global Weinstein Type Theorem on Multiple Rotating Periodic Solutions for Hamiltonian Systems
Jiamin Xing, Xue Yang, Yong Li
This paper concerns the existence of multiple rotating periodic solutions for dimensional convex Hamiltonian systems. For the symplectic orthogonal matrix , the rotating pe…
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…
Quasiperiodic Poincare Persistence at High Degeneracy
Weichao Qian, Yong Li, Xue Yang
For Hamiltonian systems with degeneracy of any higher order, we study the persistence of resonant invariant tori, which as some lower-dimensional invariant tori might be elliptic,…