Fig. 5From: On the Effects on Cortical Spontaneous Activity of the Symmetries of the Network of Pinwheels in Visual Area V1Example of dynamics for the PO map in Fig. 2(a) in the case where \(\varGamma= \langle \mathbf {R}_{s},\mathbf {T}_{0,2\pi} \rangle\) and \(\theta_{0}\notin\frac{\pi}{2}\mathbb{Z}\). Left: Simplest dynamics found in this case shown in the fundamental domain. Right: Numerical solution of (1) projected on the unperturbed torus \(\mathcal{T}_{0}\). The fundamental domain is superimposed to compare with prediction. The parameters are as follows: connectivity \(J_{\mathrm{LR}}^{b,a}(\mathbf {x},\mathbf {y})\) (see Appendix B), \(\epsilon_{\mathrm{LR}}=0.001\), \(\chi=0.9\), and \(\sigma=1.06264\). The size of the cortex is \(4\times2\pi\). The numerical mesh size is 10242 Back to article page