Abstract
The ring inhibitory neural network is a typical neural system used to generate oscillation with a simple structure. Neurons in the ring inhibitory neural network are connected in one direction. In this study, we propose polygonal structure models of the ring inhibitory neural network that are composed of multiple ring inhibitory neural networks. We confirm that the polygonal structure models based on triquetrous and pentagonal models composed of three and five neurons respectively can oscillate. In our simulations, the polygonal structure models show various synchronization and oscillation phenomena based on their network topology.
