Spiral waves and their characterization through spatioperiod and spatioenergy under distinct excitable media

Abstract

The external periodic stimulus is typically used to activate each cell in an excitable media which in turn triggers the stable pulse or target waves in the network. In this work, the spatiotemporal pattern in excitable media is investigated by applying a periodic stimulus to a specific cell site. To do so, three distinct arrays of single-layer networks, namely the modified Hindmarsh-Rose neuron, the hybrid neuron, and the Morris-Lecar neuron models are considered. The existence of spiral waves and their characteristics are studied with periodic excitation. We considered the modified Hindmarsh-Rose neuron model, hybrid neuron, and Morris-Lecar neuron model for the investigation. The results obtained are highlighting the existence of disordered broken spiral seeds at low coupling values and the formation of spiral waves as coupling strength increased to higher levels. Importantly, the characteristics of the nodes in the network are manifested using the spatioperiod and spatioenergy. Furthermore, we discover that the core of the spiral has low excitability and energy when compared to the other nodes in the spiral. Notably, the spatioenergy clearly shows the actual position of the spiral core. Finally, we confirmed the spatiotemporal patterns and their characteristics by extending the network to the two and three-layer Morris-Lecar neural systems.