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Fig. 2 | The Journal of Mathematical Neuroscience

Fig. 2

From: Emergent Dynamical Properties of the BCM Learning Rule

Fig. 2

Four simulations of Eq. (4) with initial data \((v_{1},v_{2},\theta)=(0.1,0,0)\) shown for the last 100 time units. \(\tau _{w}=2\), \(\mathbf{x}^{(1)}=(1,0)\). Equilibria are \(v_{2}=0\) and \(v_{1}=1/\rho\), shown as the dashed line. (A) \(\rho=0.5\), \(\mathbf{x}^{(2)}=(0,1)\), \(\tau _{\theta}/\tau_{w}=1.1\); (B) \(\rho=0.5\), \(\mathbf{x}^{(2)}=(\cos (1),\sin(1))\), \(\tau_{\theta}/\tau_{w}=1.5\); (C) \(\rho=0.7\), \(\mathbf{x}^{(2)}=(\cos (1),\sin (1))\), \(\tau_{\theta}/\tau_{w}=1.5\); (D) \(\rho=0.5\), \(\mathbf {x}^{(2)}=1.5(\cos (1),\sin(1))\), \(\tau_{\theta}/\tau_{w}=0.8\)

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