Bifurcation in mutually coupled three neurons with inhibitory synapses

We investigate a system of mutually coupled three neurons in a line with the inhibitory synapses as a basic motif of complex networks. For class I and class II neurons, bifurcation structure is analyzed when we change the external DC current of a middle neuron. In both classes, the neurons have a wi...

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Bibliographic Details
Main Authors: Ioka, E., Matusya, Y., Kitajima, H.
Format: Conference Proceeding
Language:English
Subjects:
Bifurcation
Complex networks
Delay
Neurons
Orbits
Synchronization
Trajectory
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Summary:We investigate a system of mutually coupled three neurons in a line with the inhibitory synapses as a basic motif of complex networks. For class I and class II neurons, bifurcation structure is analyzed when we change the external DC current of a middle neuron. In both classes, the neurons have a wide parameter region in which stable 1:2 cluster synchronous firing is observed as the external DC current of a middle neuron becomes larger than that of outer neurons. For only class I neurons, we observe the stable non-in-phase synchronous firing between three neurons.
DOI:10.1109/ECCTD.2011.6043617