Parasitics and the stability of equilibrium points of nonlinear networks

The stability of equilibrium points of autonomous nonlinear networks with parasitics is presented. Conditions are given under which the behavior of the parasitic network is approximated by the simplified network without parasitics. More precisely, criteria are provided for which, if the parasitics are sufficiently small, the stability (instability) of the simplified network implies the stability (instability) of the network with parasitics.