Effect of Coupling Types on Synchronization of Weakly Coupled Bursting Neurons
نویسندگان
چکیده
Weak coupling connections are ubiquitous in neuronal system. For neurons with both spiking and bursting dynamics, bursting synchronization, which has been found to be related with a number of abnormal brain rhythms, is easier to occur at smaller synaptic strengths. In this paper, we examine the effect of the synaptic types on the synchronization properties of the weakly coupled bursting neuronal oscillators by means of phase-model reduction. The bifurcation analysis clarifies how the synaptic types affect the existence and stability of in-phase, anti-phase and out of phase synchronization states. The results show that electrical coupling and inhibitory coupling neurons have stable anti-phase synchronous solutions, while excitatory coupling neurons exhibit out of phase synchronous behaviors.
منابع مشابه
Synchronization in Neuronal Networks with Electrical and Chemical Coupling
Synchronized cortical activities in the central nervous systems of mammals are crucial for sensory perception, coordination, and locomotory function. The neuronal mechanisms that generate synchronous synaptic inputs in the neocortex are far from being fully understood. This thesis contributes toward an understanding of the emergence of synchronization in networks of bursting neurons as a highly...
متن کاملAdaptive Fractional-order Control for Synchronization of Two Coupled Neurons in the External Electrical Stimulation
This paper addresses synchronizing two coupled chaotic FitzHugh–Nagumo (FHN) neurons with weakly gap junction under external electrical stimulation (EES). To transmit information among coupled neurons, by generalization of the integer-order FHN equations of the coupled system into the fractional-order in frequency domain using Crone approach, the behavior of each coupled neuron relies on its pa...
متن کاملBuilding phase synchronization equivalence between coupled bursting neurons and phase oscillators
Bursting neurons are characterized by an alternation of active and inactive state, during the active state they exhibit train of spikes and quiescent behavior in the inactive state.When bursting neurons are coupled they can synchronize depending on the coupling strength. If the coupling strength is increased above a critical value, a transition from an asynchronous state to a partial synchroniz...
متن کاملSynchronization of bursting neurons: what matters in the network topology.
We study the influence of coupling strength and network topology on synchronization behavior in pulse-coupled networks of bursting Hindmarsh-Rose neurons. Surprisingly, we find that the stability of the completely synchronous state in such networks only depends on the number of signals each neuron receives, independent of all other details of the network topology. This is in contrast with linea...
متن کاملSynergistic effect of repulsive inhibition in synchronization of excitatory networks.
We show that the addition of pairwise repulsive inhibition to excitatory networks of bursting neurons induces synchrony, in contrast to one's expectations. Through stability analysis, we reveal the mechanism underlying this purely synergistic phenomenon and demonstrate that it originates from the transition between different types of bursting, caused by excitatory-inhibitory synaptic coupling. ...
متن کامل