Fig. 1

(A) A nonlinear function ϕ of the post-synaptic neuronal activity, v, and a threshold θ, of the activity. (B) When \(\tau_{\theta}/ \tau_{w} =0.25\), response converges to a steady state and neuron selects stimulus \(\mathbf{x}^{(1)}\). (Here, the stimuli are \(\mathbf{x}^{(1)}=(\cos\alpha,\sin\alpha)\) and \(\mathbf{x}^{(2)}=(\sin\alpha,\cos\alpha)\) with \(\alpha=0.3926\), the stimuli switch randomly at a rate 5, and \(\tau_{w}=25\).) (C) When \(\tau_{\theta}/ \tau_{w} =1.7\), responses oscillate but the neuron still selects stimulus \(\mathbf{x}^{(1)}\). (D) When \(\tau_{\theta}/ \tau_{w} =2.5\), neuron is no longer selective