Optimizing calculations of coupling matrix in Hindmarsh–Rose neural network

In this paper, to research the relationship between network synchronous dynamics and the optimal coupling mode, we have constructed the coupled network structure with the Hindmarsh–Rose (HR) neuron cells as the unit and found out the optimal coupling matrix, by using the chaos ant swarm optimization (CASO) algorithm. Some typical coupled networks from all the coupled configurations are selected for analysis. Furthermore, to further verify the results of the optimization algorithm, a network of 42 cell units is constructed and the synchronization behavior is compared in both the optimization and non-optimized coupling topology. Our results indicate that proper coupling matrix of HR neural network could be obtained by means of CASO algorithm.