91 citations · 257 across the 21 of their papers we have counts for
22 papers
Countable periodic solutions of the Lorentz force equation under a time-dependent current
Ka Xie, Pengcheng Xu, Zuohuan Zheng
The resonant dynamics of a charged particle, governed by the Lorentz force equation in an electromagnetic field generated by a current-carrying wire with a small harmonic modulatio…
Dynamics of COVID-19 models with asymptomatic infections and quarantine measures
Songbai Guo, Yuling Xue, Xiliang Li +1
Considering the propagation characteristics of COVID-19 in different regions, the dynamics analysis and numerical demonstration of long-term and short-term models of COVID-19 are c…
Large deviations principle for stationary solutions of stochastic differential equations with multiplicative noise
Peipei Gao, Yong Liu, Yue Sun +1
We study the large deviations principle (LDP) for stationary solutions of a class of stochastic differential equations (SDE) in infinite time intervals by the weak convergence appr…
A novel analysis approach of uniform persistence for a COVID-19 model with quarantine and standard incidence rate
Songbai Guo, Yuling Xue, Xiliang Li +1
A coronavirus disease 2019 (COVID-19) model with quarantine and standard incidence rate is first developed, then a novel analysis approach for finding the ultimate lower bound of C…
Random periodic solutions of nonautonomous stochastic feedback systems with multiplicative noise
Zhao Dong, Weili Zhang, Zuohuan Zheng
We investigate the dynamical behavior of pull-back trajectories for nonautonomous stochastic feedback systems with multiplicative noise. We proved that there exists a random period…
Exact mobility edges for 1D quasiperiodic models
Yongjian Wang, Xu Xia, Jiangong You +2
Mobility edges (ME), i.e. critical energies which separate absolutely continuous spectrum and purely point spectrum, is an important issue in quantum physics. So far there are two…
Random periodic solutions of non-autonomous stochastic differential equations
Zhao Dong, Zuohuan Zheng, Weili Zhang
In this paper, we study the existence of random periodic solutions for nonlinear stochastic differential equations with additive white noise. We extend the input-to-state character…
Spatial and temporal dynamics of an almost periodic reaction-diffusion system for West Nile virus
Chengcheng Cheng, Zuohuan Zheng
In current paper, we put forward a reaction-diffusion system for West Nile virus in spatial heterogeneous and time almost periodic environment with free boundaries to investigate t…
Exact non-Hermitian mobility edges in one-dimensional quasicrystal lattice with exponentially decaying hopping and its dual lattice
Yanxia Liu, Yongjian Wang, Zuohuan Zheng +1
We analytically determine the non-Hermitian mobility edges of a one-dimensional quasiperiodic lattice model with exponential decaying hopping and complex potentials as well as its…
Duality between two generalized Aubry-Andre models with exact mobility edges
Yucheng Wang, Xu Xia, Yongjian Wang +2
A mobility edge (ME) in energy separating extended from localized states is a central concept in understanding various fundamental phenomena like the metal-insulator transition in…
Coexistence of zero Lyapunov exponent and positive Lyapunov exponent for new quasi-periodic Schrdinger operator
Yongjian Wang, Zuohuan Zheng
In this paper we solve a problem about the Schrdinger operator with potential in physics. With the help of the formula of Lyapunov e…
Dynamics and Spreading Speed of a Reaction-Diffusion System with Advection Modeling West Nile Virus
Chengcheng Cheng, Zuohuan Zheng
This paper aims to explore the temporal-spatial spreading and asymptotic behaviors of West Nile virus by a reaction-advection-diffusion system with free boundaries, especially cons…
Random Almost Periodic Solutions of Random Dynamical Systems
Weili Zhang, Zuo-Huan Zheng
In this paper, we first give the definition of random almost periodic solutions of random dynamical systems and give some examples. Then, we prove the existence of such random almo…
Weak Random Periodic Solutions of Random Dynamical Systems
Wei Sun, Zuo-Huan Zheng
We first introduce the concept of weak random periodic solutions of random dynamical systems. Then, we discuss the existence of such periodic solutions. Further, we introduce the d…
A new metric for statistical properties of long time behaviors
Liqi Zheng, Zuohuan Zheng
Let be a topological dynamical system with metric . We define a new function $\overline{F}(x,y)=\limsup\limits_{n \to +\infty} \inf\limits_{σ\in S_n} \frac 1n \sum\limit…
Some Spectrum Property of Periodic Coupling AMO Operator
Xu Xia, Zuohuan Zheng
We study spectrum of the periodic coupling AMO model. Meantime there establish the continuity of Lyapunov exponent about the the periodic coupling of AMO model. Through the dynamic…
On the convergence of the time average for skew-product structure and multiple ergodic system
Xia Pan, Zuohuan Zheng, Zhe Zhou
In this paper, for a discontinuous skew-product transformation with the integrable observation function, we obtain uniform ergodic theorem and semi-uniform ergodic theorem. The mai…
Ergodic behaviour of nonconventional ergodic averages for commuting transformations
Xia Pan, Zuohuan Zheng, Zhe Zhou
Based on T.Tao's result of norm convergence of multiple ergodic averages for commut-ing transformation, we obtain there is a subsequence which converges almost everywhere. Meanwhil…
Non-robustly intermingled basins for perturbations of time-one map of Anosov flows
Qianying Xiao, Zuohuan Zheng
Perturbations of time-one maps of transitive Anosov flows are studied. We show that most perturbations have no intermingled basins of hyperbolic physical measures.
Partial linearization for nonautonomous differential equations
Xia Pan, Zuohuan Zheng
In this paper, we prove the partial linearization for n-dimensional nonautonomous differential equations. The conditions are formulated in terms of the dichotomy spectrum.
weak Palis conjecture for nonsingular flows
Qianying Xiao, Zuohuan Zheng
The aim of this work is to prove weak Palis conjecture for nonsingular flows. Weak Palis conjecture claims that a generic vector field either is Morse-Smale or exhibits horse…
Random Periodic Solutions of Random Dynamical Systems
Huaizhong Zhao, Zuo-Huan Zheng
In this paper, we give the definition of the random periodic solutions of random dynamical systems. We prove the existence of such periodic solutions for a perfect cocycle on…