Synchronization and firing patterns of coupled Rulkov neuronal map

摘要: In this paper, we investigate stabilization, neuronal synchrony and different dynamics in two coupled Rulkov map the presence of both inner linking function chemical synaptic interactions. Based on linear stability analysis, conditions for fixed point system are derived. Through master approach, local complete synchronization is studied by calculating transverse Lyapunov exponents error using basin measure, quantify global synchronization. More interestingly, transitions neural spiking–bursting synchronous patterns found appropriately chosen interaction strengths. We interrogate effect time delay function, surprisingly, observe that can induce mixed type behavior to achieve state. The solely coupling favorable synchronization, while interactions, enhanced up a certain threshold beyond it demolish synchrony. also with stochastic on–off interaction, exemplify by, network neurons interact through sending short pulses, called spike. types neuron observed when resting interacting bursting under proposed configuration. Finally, autapic connection induces enhances behavior.