Synchronization mode transitions induced by chaos in modified Morris–Lecar neural systems with weak coupling

Abstract

Based on a modified Morris-Lecar neural model, the synchronization modes transitions between two coupled neurons or starcoupled neural network connected by weak electrical and chemical coupling are respectively investigated. For the two coupled neurons, by increasing the calcium conductivity, it is found that the period2 synchronization of action potential of neurons is transformed to desynchronization first, and then to period3 synchronization. By increasing the potassium conductivity, however, the synchronization mode transition is a reversal direction process as mentioned above. The bifurcation analysis of interspike interval shows that the synchronization modes transition is induced by the chaos. The stronger the coupling strength is, the smaller the period2 synchronization region in the parameters plane is, while the larger the period3 synchronization region will be. For the starcoupled neural network, in the presence of weak electrical coupling, it can exhibit the complete synchronization, desynchronization, and drum head mode states under different parameter values, respectively. In the presence of chemical synapse, however, the completely synchronized state can not be observed in the starcoupled neural network. Our results might provide novel insights into synchronization modes transition and related biological experiments.

Relationship between threshold and bifurcations for paradoxical firing responses along with seizure induced by inhibitory stimulation

“…Then it has been widely used to study the neuronal dynamics near SNIC and Hopf bifurcations (Class I/II excitability) [20,21], usually performed by linear stability analysis [23,32]. The synchronization [33] and stochastic dynamics [22] are often studied as well. The ML model reads…”