A5100693416- Mathematical and Theoretical Epidemiology and Ecology Models
- Nonlinear Differential Equations Analysis
- Neural Networks Stability and Synchronization
- Nonlinear Dynamics and Pattern Formation
- Differential Equations and Numerical Methods
- Advanced Differential Equations and Dynamical Systems
- Numerical methods for differential equations
- stochastic dynamics and bifurcation
- Opinion Dynamics and Social Influence
- Gene Regulatory Network Analysis
- Stability and Controllability of Differential Equations
- Mathematical Biology Tumor Growth
- Advanced Mathematical Modeling in Engineering
- Stochastic processes and statistical mechanics
- Fractional Differential Equations Solutions
- Evolution and Genetic Dynamics
- COVID-19 epidemiological studies
- Advanced Mathematical Physics Problems
- Fuzzy Systems and Optimization
- Quantum chaos and dynamical systems
- Graph theory and applications
- Multi-Criteria Decision Making
- Algebraic and Geometric Analysis
- Limits and Structures in Graph Theory
- Random Matrices and Applications
Jiangsu Normal University
2022-2025
Heilongjiang University
2024
Institute of Acoustics
2022
Chinese Academy of Sciences
2022
University of Chinese Academy of Sciences
2022
Harbin Institute of Technology
2010-2018
Donghua University
2016
Northeast Normal University
2003-2014
Beijing University of Technology
2012
Lanzhou University
2005-2006
Non-Abelian topological orders offer an intriguing path towards fault-tolerant quantum computation, where information can be encoded and manipulated in a topologically protected manner immune to arbitrary local noises perturbations. However, realizing non-Abelian ordered states is notoriously challenging both condensed matter programmable systems, it was not until recently that signatures of statistics were observed through digital simulation approaches. Despite these exciting progresses,...
This paper is concerned with the global stability for a general discrete-time coupled system on network (DTCSN). A systematic method of constructing Lyapunov function DTCSN provided by combining graph theory and method. Consequently, some novel principles, which have close relation to topology property network, are given. They important leading significance in design applications globally stable DTCSNs. In addition, present effectiveness applicability results, proposed used analyze practical...
This paper concerns pattern formation in a class of reaction-advection-diffusion systems modeling the population dynamics two predators and one prey. We consider biological situation that both forage along density gradient preys which can defend themselves as group. prove global existence uniform boundedness positive classical solutions for fully parabolic system over bounded domain with space dimension $ N=1,2 parabolic-parabolic-elliptic higher dimensions. Linearized stability analysis...
ABSTRACT In this paper, we are concerned with the existence of traveling wave solution for FitzHugh–Nagumo system, which is an excitable model studying nerve impulse propagation. By using transformation and time scale transformation, system transformed into a singularly perturbed differential system. We construct locally invariant manifold associated equation obtain by employing geometric singular perturbation theory Fredholm orthogonality. Furthermore, also discuss asymptotic behaviors...
In this paper, a graph‐theoretic approach for checking exponential stability of the system described by neutral stochastic coupled oscillators network with time‐varying delayed coupling is obtained. Based on graph theory and Lyapunov theory, delay‐dependent criteria are deduced to ensure moment almost sure addressed system, respectively. These can show how topology, time delays, perturbations affect such network. This method may also be applied other systems delays. Finally, numerical...