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Title: Analysis of continuous attractors for 2-D linear threshold neural networks
Authors: Zou, L.
Tang, H.
Tan, K.C. 
Zhang, W.
Keywords: Continuous attractor
Degenerate equilibria
Linear threshold (LT) network
Multistable neural network
Singular line
Issue Date: 2009
Citation: Zou, L., Tang, H., Tan, K.C., Zhang, W. (2009). Analysis of continuous attractors for 2-D linear threshold neural networks. IEEE Transactions on Neural Networks 20 (1) : 175-180. ScholarBank@NUS Repository.
Abstract: This brief investigates continuous attractors of the well-developed model in visual cortex, i.e., the linear threshold (LT) neural networks, based on a parameterized 2-D model. On the basis of existing results on nondegenerate equilibria in mathematics, we further discuss degenerate equilibria for such networks and present properties and distributions of the equilibria, which enables us to draw the coexistence conditions of nondegenerate and degenerate equilibria (e.g., singular lines). Our theoretical results provide a useful framework for precise tuning on the network parameters, e.g., the feedbacks and visual inputs. Simulations are also presented to illustrate the theoretical findings. © 2008 IEEE.
Source Title: IEEE Transactions on Neural Networks
ISSN: 10459227
DOI: 10.1109/TNN.2008.2009535
Appears in Collections:Staff Publications

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