University of Guilan Journal of Mathematical Modeling 2345-394X 11 1 2023 03 01 Global stability and Hopf bifurcation of delayed fractional-order complex-valued BAM neural network with an arbitrary number of neurons 19 34 5895 10.22124/jmm.2022.22299.1972 EN Elham Javidmanesh Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran Alireza Zamani Bahahbadi Department of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran Journal Article 2022 05 21 In this paper, a general class of fractional-order complex-valued bidirectional associative memory neural network with time delay is considered. This neural network model contains an arbitrary number of neurons, i.e. one neuron in the X-layer and other neurons in the Y-layer. Hopf bifurcation analysis of this system will be discussed. Here, the number of neurons, i.e., $n$ can be chosen arbitrarily. We study Hopf bifurcation by taking the time delay as the bifurcation parameter. The critical value of the time delay for the occurrence of Hopf bifurcation is determined. Moreover, we find two kinds of appropriate Lyapunov functions that under some sufficient conditions, global stability of the system is obtained. Finally, numerical examples are also presented. https://jmm.guilan.ac.ir/article_5895_c668df7490ebb552209eda7229db752e.pdf