Transitions between spatial attractors in place-cell networks
Statistical Mechanics
2015-09-30 v1 Disordered Systems and Neural Networks
Abstract
The spontaneous transitions between D-dimensional spatial maps in an attractor neural network are studied. Two scenarios for the transition from on map to another are found, depending on the level of noise: (1) through a mixed state, partly localized in both maps around positions where the maps are most similar; (2) through a weakly localized state in one of the two maps, followed by a condensation in the arrival map. Our predictions are confirmed by numerical simulations, and qualitatively compared to recent recordings of hippocampal place cells during quick-environment-changing experiments in rats.
Keywords
Cite
@article{arxiv.1507.05725,
title = {Transitions between spatial attractors in place-cell networks},
author = {R Monasson and S Rosay},
journal= {arXiv preprint arXiv:1507.05725},
year = {2015}
}
Comments
to appear in Physical Review Letters; Supplemental Material available from the author's web page