Abstract In this paper, a class of inertial Cohen-Grossberg neural networks with time delays in leakage terms is investigated. By constructing the appropriate Lyapunov functional, sufficient conditions are obtained for the global exponential stability of the equilibrium. By analyzing the corresponding characteristic equation, the local stability of the equilibrium and the existence of Hopf bifurcation are established. Numerical simulations are carried out to illustrate the main results.
TIAN Xiao-hong, XU Rui, WANG Zhi-li. Global exponential stability and Hopf bifurcation of inertial Cohen-Grossberg neural networks with time delays in leakage terms. Applied Mathematics A Journal of Chinese Universities, 2016, 31(4): 428-440.