The Open Cybernetics & Systemics Journal

2014, 8 : 230-238
Published online 2014 December 31. DOI: 10.2174/1874110X01408010230
Publisher ID: TOCSJ-8-230

Dynamics of Homogeneous Moment Neuronal Networks with Context Units

Yonglin Wang and Xuyan Xiang
College of Mathematics and Computational Science, Hunan University of Arts and Science, Changde 415000, China.

ABSTRACT

After discussions of a few relevant patents of neural networks, a model description of moment neuronal networks with context units is given by introducing intra-layer inputs. The dynamics of homogeneous networks derived from the intra-inputs are explored, including the input-output relationships and the stability of such network. It is shown how the spontaneous activity is propagated across the homogeneous feed-forward networks with context units. Due to a more biologically reasonable context unit, such network offers a significant advantage over the recent moment neuronal networks in that it can enhance or weaken the dynamics of network by the adjustment of the parameters from context unit, based on those from network itself, and it can lead to some unexpectedly dynamic properties. In this paper we highlight the key and sophisticated role played by the context unit in dynamics of such network.

Keywords:

Context unit, dynamics, intra- and inter-layer interactions, moment neuronal networks, stability.