Affiliations: Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran | Department of Mathematics, University of Bojnord, Bojnord, Iran
Note: [] Corresponding author. Elham Javidmanesh, Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran. E-mails: [email protected] (Elham Javidmanesh); [email protected] (Zohreh Dadi); [email protected] (Zahra Afsharnezhad); [email protected] (Sohrab Effati).
Abstract: In this paper, an eight-neuron BAM neural network model with multiple delays is considered. We analyze the global existence of periodic solutions and conclude some of their properties such as being bounded. Furthermore, we construct an appropriate Lyapunov function which implies the global asymptotically stability. To illustrate our theoretical results, numerical simulations are presented.
Keywords: Lyapunov function, stability, periodic solution, neural network, time delay
