The stability of stochastic coupled systems with time-varying coupling and general topology structure

Y Liu, W Li, J Feng - IEEE Transactions on Neural Networks and …, 2017 - ieeexplore.ieee.org
We introduce a class of novel stochastic coupled systems in which the coupling structure is
time-varying and the topology structure is not strongly connected, and first establish the …

Graph-theoretical method to the existence of stationary distribution of stochastic coupled systems

Y Liu, W Li, J Feng - Journal of Dynamics and Differential Equations, 2018 - Springer
In this paper, by linking Fokker–Planck equations with stochastic coupled systems, a new
method is provided to investigate the existence of a stationary distribution of stochastic …

The stability of stochastic coupled systems with time delays and time-varying coupling structure

Y Liu, Y Guo, W Li - Applied Mathematics and Computation, 2016 - Elsevier
This paper is concerned with the pth moment exponential stability of stochastic coupled
systems with time delays and time-varying coupling structure (SCTVCS). The coupling …

Global exponential stability for stochastic networks of coupled oscillators with variable delay

W Li, S Wang, H Su, K Wang - Communications in Nonlinear Science and …, 2015 - Elsevier
A general model of stochastic networks of coupled oscillators with variable delay is
considered. Together the methods of graph theory and Lyapunov function, some sufficient …

Numerical simulation of the fractional Lienard's equation

R Alchikh, S Khuri - International Journal of Numerical Methods for …, 2020 - emerald.com
Purpose The purpose of this paper is to apply an efficient semi-analytical method for the
approximate solution of Lienard's equation of fractional order. Design/methodology …

Stabilisation of stochastic coupled systems via feedback control based on discrete-time state observations

Y Wu, W Li, J Feng - International Journal of Systems Science, 2017 - Taylor & Francis
This paper is concerned with the stabilisation of stochastic coupled systems (SCSs) via
feedback control based on discrete-time state observations. State feedback control based on …

[PDF][PDF] Oscillation of solutions to second-order nonlinear differential equations of generalized Euler type

A Aghajani, D O'Regan… - Electronic Journal of …, 2013 - ejde.math.txstate.edu
We are concerned with the oscillatory behavior of the solutions of a generalized Euler
differential equation where the nonlinearities satisfy smoothness conditions which …

Stabilization problem of stochastic time-varying coupled systems with time delay and feedback control

Y Liu, W Jia, W Li - Applicable Analysis, 2018 - Taylor & Francis
The stabilization of stochastic coupled systems with time delay and time-varying coupling
structure (SCSTT) via feedback control is investigated. We generalize systems with constant …

New Oscillation Results for a Nonlinear Generalization of Euler Differential Equation

V Roomi - Mathematics Interdisciplinary Research, 2021 - mir.kashanu.ac.ir
‎‎‎‎ In the present work the oscillatory behavior of the solutions of a nonlinear generalization of
Euler equation will be considered in which the‎‎ nonlinearities satisfy the smoothness …

[HTML][HTML] Uniqueness and hyperbolicity of limit cycles for autonomous planar systems with zero diagonal coefficient

Z Daoxiang, P Yan - Applied Mathematics Letters, 2017 - Elsevier
This paper investigates the uniqueness and hyperbolicity of the autonomous planar system
with zero diagonal coefficient x ̇= p 2 (y) q 2 (x) y, y ̇= p 3 (y) q 3 (x) x+ p 4 (y) q 4 (x) y and …