5 papers
Most Probable KAM Tori in Stochastic Hamiltonian Systems Driven by Multiplicative Noise
Xinze Zhang, Yong Li
This paper investigates the effect of random perturbations, in particular multiplicative noise, on the integrable structure of Hamiltonian systems, with a particular focus on KAM t…
Most Probable KAM Tori in Stochastic Hamiltonian Systems
Xinze Zhang, Yong Li
This paper investigates in depth how stochastic perturbations affect the integrable structure of Hamiltonian systems and develops a KAM theory for stochastic Hamiltonian dynamics,…
The LLN and CLT for the statistical ensembles of discrete integrable Hamiltonian systems
Xinyu Liu, Xinze Zhang, Yong Li
This paper investigates the behavior of statistical ensembles under iteration map induced by discrete integrable Hamiltonian systems in deterministic case and stochastic case, addr…
Persistence of Invariant Tori for Stochastic Nonlinear Schrödinger in the Sense of Most Probable Paths
Xinze Zhang, Yong Li, Kaizhi Wang
This paper investigates the application of KAM theory to the stochastic nonlinear Schrödinger equation on infinite lattices, focusing on the stability of low-dimensional invariant…
Onsager-Machlup functional for stochastic differential equations with time-varying noise
Xinze Zhang, Yong Li
This paper is devoted to studying the Onsager-Machlup functional for stochastic differential equations with time-varying noise of the α-Hölder, 0<α<1/4, dXt =f(t,Xt)dt+g(t)dWt.…