Dynamics of Moment Neuronal Networks with Intra- and Inter-Interactions

Abstract EN

A framework of moment neuronal networks with intra- and inter-interactions is presented.

It is to show how the spontaneous activity is propagated across the homogeneous and heterogeneous network.

The input-output firing relationship and the stability are first explored for a homogeneous network.

For heterogeneous network without the constraint of the correlation coefficients between neurons, a more sophisticated dynamics is then explored.

With random interactions, the network gets easily synchronized.

However, desynchronization is produced by a lateral interaction such as Mexico hat function.

It is the external intralayer input unit that offers a more sophisticated and unexpected dynamics over the predecessors.

Hence, the work further opens up the possibility of carrying out a stochastic computation in neuronal networks.