Volume 84, Number 1, October 2008
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||18 September 2008|
Dynamics of neural networks with continuous attractors
Department of Physics, Hong Kong University of Science and Technology - Clear Water Bay, Hong Kong, China
2 Department of Informatics, University of Sussex - Brighton, UK, EU
Accepted: 22 August 2008
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.
PACS: 87.10.-e – Biological and medical physics: General theory and mathematical aspects / 05.45.-a – Nonlinear dynamics and chaos
© EPLA, 2008
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