7 papers · 1 filter
Local stable and unstable sets for random dynamical systems
Xue Liu, Xiao Ma, Xiaomin Zhou
We study local stable and unstable sets for two-sided continuous bundle random dynamical systems. For an ergodic invariant measure with positive fiber measure-theoretic entropy and…
Discrete spectrum of probability measures for locally compact group actions
Zongrui Hu, Xiao Ma, Leiye Xu +1
In this paper, we investigate the discrete spectrum of probability measures for actions of locally compact groups. We establish that a probability measure has a discrete spectrum i…
Invariant tori for a class of affined Anosov mappings with quasi-periodic forces
Xinyu Bai, Zeng Lian, Xiao Ma +1
In this paper, we consider a class of affined Anosov mappings with quasi-periodic forces, and show that there is a unique positive integer , which only depends on the system, su…
Ergodic optimization theory for Axiom A flows
Wen Huang, Zeng Lian, Xiao Ma +2
In this article, we consider the weighted ergodic optimization problem Axiom A attractors of a flow on a compact smooth manifold. The main result obtained in this paper is th…
Ergodic optimization theory for a class of typical maps
Wen Huang, Zeng Lian, Xiao Ma +2
In this article, we consider the weighted ergodic optimization problem of a class of dynamical systems where is a compact metric space and is Lipschitz continuou…
Quasi-periodic solutions for p-Laplacian equations with jumping nonlinearity and unbounded potential terms
Xiao Ma, Daxiong Piao, Yiqian Wang
In this paper, we are concerned with the boundedness of all the solutions for a kind of second order differential equations with p-Laplacian term $(ϕ_p(x'))'+aϕ_p(x^+)-bϕ_p(x^-)+f(…