I am using cl_matcont to perform a bifurcation analysis of a dynamical system of ten equations (equations are identical in two blocks, thus 8 of them and 2 of them are the same)
During the continuation the toolbox finds an Hopf bifurcation having a negative lyapunov coefficient. This bifurcation gives rise to limit cycles shown in the figure I have attached. In the figure, cycles are in blue. Blue points on the curve are stable equilibrium points, while the red ones are unstable. I would like to know if the limit cycles are stable or not, but I have found two contradictory results. The negative lyapunov coefficient leads me to think about stable limit cycles (supercritical Hopf). While the orientation of the cycle and some numerical simulations lead to evident unstable limit cycles (subcritical Hopf). Have you any suggestions to know the nature of these cycles?
Thank you in advance for any information.