Bifurcations of fuzzy solutions

In this work we study the dynamics of bifurcations of fuzzy solutions with parameters and/or initial condition dependencies by applying the Zadeh´s extension to the deterministic solution. We define the concept of “fuzzy bifurcation value”, by qualitative changes of stability equilibrium solutions. Using these changes we obtain some results on the existence of such bifurcation values. We also provide some illustrative examples and computational simulations illustrating the asymptotic behavior.