Abstract
We consider the effects of temporal delay in a neural feedback system with excitation and inhibition. The topology of our model system reflects the anatomy of the avian isthmic circuitry, a feedback structure found in all classes of vertebrates. We show that the system is capable of performing a ‘winner-take-all’ selection rule for certain combinations of excitatory and inhibitory feedback. In particular, we show that when the time delays are sufficiently large a system with local inhibition and global excitation can function as a ‘winner-take-all’ network and exhibit oscillatory dynamics. We demonstrate how the origin of the oscillations can be attributed to the finite delays through a linear stability analysis.
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Brandt, S.F., Wessel, R. Winner-take-all selection in a neural system with delayed feedback. Biol Cybern 97, 221–228 (2007). https://doi.org/10.1007/s00422-007-0168-y
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DOI: https://doi.org/10.1007/s00422-007-0168-y