Abstract
We 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.
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References
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© 2002 Springer-Verlag Berlin Heidelberg
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Wennekers, T. (2002). Nonlinear Analysis of Simple Cell Tuning in Visual Cortex. In: Dorronsoro, J.R. (eds) Artificial Neural Networks — ICANN 2002. ICANN 2002. Lecture Notes in Computer Science, vol 2415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46084-5_11
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DOI: https://doi.org/10.1007/3-540-46084-5_11
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