has anybody managed or can give some advice how to apply the homotopy method within matcont? My goal is to follow the path of solution x (equilibrium) to a linear shifted function H(x, t) = F(x(t)) − (1 − t)F(x0). During that path, I want to encounter possible bifurcatin points. F is a different function, that outputs just some kind of vector to the given x(t).
MatCont seems to be perfect for that application but it seems like it only handles differential equations. How can I adapt it to work with a simple (system of) equations?