Firing activities analysis of a novel small heterogeneous coupled network through a memristive synapse

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 k(12) 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 k(1) 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.

Automated summary

In this paper, a novel small heterogeneous coupled network through a memristive synapse is proposed and investigated. The network exhibits multiple stable firing patterns and shows multistability behavior, which has potential applications in brain science and bionics.