TY - JOUR AU - Li, Zhijun AB - The heterogeneous coupled network has shown its research values in brain science and bionics. In this paper, a novel small heterogeneous coupled network through a memristive synapse is proposed and investigated. The model is constructed by coupling a 2D Hindmarsh–Rose (HR) neuron with a 3D Hopfield neural network (HNN) through a memristive synapse. Subsequently, the complex dynamical behaviors exhibited by the network were investigated. Specifically, we varied the coupling parameter k12 of the 3D HNN and found that the membrane potentials of the 2D HR neuron possess seven stable firing patterns. Then, by varying the coupling parameter k1 between the 2D HR neuron and the 3D HNN, the membrane potentials of the 2D HR neuron generated five stable firing patterns. Furthermore, by fixing the coupling parameters and varying the initial values of the network, multistability behavior was exhibited by the network. These findings have potential applications in brain science and bionics. Finally, a circuit is designed to realize the network in both simulation and experiments. TI - Firing activities analysis of a novel small heterogeneous coupled network through a memristive synapse JF - Nonlinear Dynamics DO - 10.1007/s11071-023-08626-0 DA - 2023-08-01 UR - https://www.deepdyve.com/lp/springer-journals/firing-activities-analysis-of-a-novel-small-heterogeneous-coupled-YP1UXrhrcP SP - 15397 EP - 15415 VL - 111 IS - 16 DP - DeepDyve ER -