Tracking dynamics of two-dimensional continuous attractor neural networks

被引：4

作者：

Fung, C. C. Alan ^{[1
]}

Wong, K. Y. Michael ^{[1
]}

Wu, Si ^{[2
]}

机构：

[1] Hong Kong Univ Sci & Technol, Dept Phys, Hong Kong, Hong Kong, Peoples R China

[2] Inst Neurosci, Lab Neural Informat Processing, Shanghai, Peoples R China

来源：

INTERNATIONAL WORKSHOP ON STATISTICAL-MECHANICAL INFORMATICS 2009 (IW-SMI 2009) | 2009年 / 197卷

关键词：

ORIENTATION; CORTEX;

D O I：

10.1088/1742-6596/197/1/012017

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

We introduce an analytically solvable model of two-dimensional continuous attractor neural networks (CANNs). The synaptic input and the neuronal response form Gaussian bumps in the absence of external stimuli, and enable the network to track external stimuli by its translational displacement in the two-dimensional space. Basis functions of the two-dimensional quantum harmonic oscillator in polar coordinates are introduced to describe the distortion modes of the Gaussian bump The perturbative method is applied to analyze its dynamics. Testing the method by considering the network behavior when the external stimulus abruptly changes its position, we obtain results of the reaction time and the amplitudes of various distortion modes, with excellent agreement with simulation results.

引用

页数：10

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