Analysis of the equilibrium points of background neural networks with uniform firing rate

*Correspondence: [email protected] 1Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China Full list of author information is available at the end of the article Abstract In this paper, we give a complete analysis of the equilibrium points of background neural networks with uniform firing rates. By using continuity, monotonicity of some functions and Rolle’s theorem, the number of equilibrium points and their locations are obtained. Moreover, some novel sufficient conditions are given to guarantee the stability of the equilibrium points for the network model by utilizing Taylor’s theorem. A simulation example is conducted to illustrate the theories developed in this paper.