In order to perform stability analysis, I seek to find fixed points in a couple of relatively high-dimension (10-30 state variables) nonlinear dynamical systems composed of ordinary time-derivatives. For the curious these are computational models of neurons.
Whilst i was able to find such points for my lowest dimension model (Dim=10), I'm struggling to do so for any other model.
Would welcome any tips regarding techniques to facilitate search or tools I could use to symbolically or numerically solve the more complex models. At the moment I'm using matlab's symbolic math toolbox.
Thanks