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

Xuyan Xiang and Jianguo Wu

Mathematical Problems in Engineering, 2015, vol. 2015, 1-13

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:381271

DOI: 10.1155/2015/381271

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