We report exact analytical expressions locating the 0→1, 1→2 and 2→4 bifurcation curves for a prototypical system of two linearly coupled quadratic maps. Of interest is the precise location of the parameter sets where Naimark–Sacker bifurcations occur, starting from a non-diagonal...

By varying real parameters, unstable complex orbits may become stable over wide parameter ranges. Thus, phase diagrams obtained by analyzing solely the stability of real solutions may be incomplete.