title: Local synchronization of one-to-one coupled neural networks with discontinuous activations.
abstract: In this paper, local synchronization is considered for coupled delayed neural networks with discontinuous activation functions. Under the framework of Filippov solution and in the sense of generalized derivative, a novel sufficient condition is obtained to ensure the synchronization based on the Lyapunov exponent and the detailed analysis in Danca (Int J Bifurcat Chaos 12(8):1813-1826, 2002; Chaos Solitons Fractals 22:605-612, 2004). Simulation results are given to illustrate the theoretical results.
authors.affiliation: Department of Mathematics, Southeast University, Nanjing, 210096 China.
authors.forename: Xiaoyang
authors.initials: X
authors.lastname: Liu
authors.forename: Jinde
authors.initials: J
authors.lastname: Cao