Dynamics of Neural Networks with Continuous Attractors

Details Dynamics of Neural Networks with Continuous Attractors Dynamics of Neural Networks with Continuous Attractors

2008-01-29

arxiv.org/abs/0801.4461v1

EPL (2008) 84: 18002

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figures with 3 captions

Scientific paper

10.1209/0295-5075/84/18002

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 dominating movement of the network stationary states in the state space. We obtain results on the maximum speed for a moving stimulus to be trackable, and the reaction time to catch up an abrupt change in stimulus.

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