The Complexity of Dynamics in Small Neural Circuits
Fig 2
Formation of multiple stationary solutions in the weak-inhibition regime.
The two top panels show the nullclines of the network for fixed values of IE,I in a weak-inhibition regime, obtained for JII = −10 and the values of the parameters in Table 1. Their intersection points (black dots) correspond to the solutions of the system (6). The top-left panel was obtained for IE = 10, II = −10, while the top-right panel for IE = 13, II = −10. The system (6) admits multiple solutions for specific values of the parameters. The two figures at the bottom show the solutions μE and μI (bottom-left and bottom-right panel, respectively) of the system (6) for the same values of the parameters, but with varying current IE. The black curve represents the primary branch of the network equations, and for IE = 10 and IE = 13 it admits one and three solutions respectively (see the black dots at the intersection with the vertical dashed lines). The (μE,μI) coordinates of these solutions correspond to those of the black dots in the top panels of the figure. The stability of these solutions is examined for the sake of completeness in S5 Fig.