Nonlinear analysis of spatio-temporal receptive fields:
II. Dynamic properties of V1 simple cells
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Submission date: 27. Feb. 2001
published in: Neurocomputing, 44 (2002), p. 207-212
DOI number (of the published article): 10.1016/S0925-2312(02)00431-9
Keywords and phrases: orientation tuning, neural fields, nonlinear approximation method
I apply a recently developed approximation method to two standard models for orientation tuning: a one-layer model with difference-of-Gaussians connectivity and a two-layer excitatory-inhibitory network. Both models reveal identical steady states and instabilities to high firing rates. The two-field model can also loose stability through a Hopf-bifurcation that results in rhythmically modulated tuning widths around 0 to 50Hz. The network behavior is almost independent of the relative weights and widths of the kernels from excitatory to inhibitory cells and back. Formulas for tuning properties, instabilities, and oscillation frequencies are given.