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Fig. 1 | The Journal of Mathematical Neuroscience

Fig. 1

From: Symmetries Constrain Dynamics in a Family of Balanced Neural Networks

Fig. 1

Solution branches from symmetry in the full system (\(N=20\)). A Solution branches (up to symmetry) in \((g, x_{I_{1}}, x_{I_{3}})\) coordinates. B Same figure, viewed in the \((g, x_{I_{3}})\) plane. C Solution branches from the reduced \((n_{I} + 1)\)-dimensional system, with \(n_{I} = 4\) and \(\alpha= 4\). Up to symmetry, this figure depicts identical solutions as the left and center panels. Markers indicate: Hopf bifurcations (red asterisks); branch points (black triangles); neutral saddles (green crosses)

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