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Title: Dynamics of neural networks with continuous attractors
Authors: Fung, Alan C. C.
Wong, Michael Kwok-Yee
Wu, Si
Keywords: Neural networks
Neuronal interactions
Continuous attractor neural networks
Issue Date: 18-Sep-2008
Citation: Europhysics letters, v. 84, no. 1, p. 18002, 2008
Abstract: We investigate the dynamics of continuous attractor neural networks (CANNs). Due to the translational invariance of their neuronal interactions, CANNs can hold a continuous family of stationary states. We systematically explore how their neutral stability facilitates the tracking performance of a CANN, which is believed to have wide applications in brain functions. We develop a perturbative approach that utilizes the dominant movement of the network stationary states in the state space. We quantify the distortions of the bump shape during tracking, and study their effects on the tracking performance. Results are obtained on the maximum speed for a moving stimulus to be trackable, and the reaction time to catch up an abrupt change in stimulus.
Rights: Europhysics letters © copyright (2008) IOP Publishing Ltd. The Journal's web site is located at
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