The authors focus on bifurcation of modes associated with both thengenerator and load dynamics to show the relations between two differentncritical states. The authors observe that a system encounters bothnoscillatory-type instability and collapse-type instability using ansample power system model developed by I. Dobson et al. (1988). Innaddition to the collapse-type instability reported by Dobson et al.,noscillatory-type instability is analyzed by using Hopf bifurcationntheory. The authors analyze these two types of system instability in ansample power system via bifurcation theory. Collapse-type instability isnstudied through the center manifold reduction technique, which reducesnthe entire system dynamic model to a one dimensional manifold
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