2 papers
math.DS2025
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…
math.DS2024
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(…