Bifurcation of periodic responses in forced dynamic nonlinear circuits - Computation of bifurcation values of the system parameters

It is often found in dynamic nonlinear circuits that a steady-state response, such as an equilibrium point or a periodic response, changes its qualitative property abruptly in connection with a continuous variation of the system parameters. Such a phenomenon is called 'bifurcation of state', and it plays an important part in the analysis of nonlinear circuits. The present study is concerned with the bifurcation problems of periodic states from a computational point of view. Attention is given to periodic solutions and the Poincaremapping, a hyperbolic fixed point and its classification, the bifurcation of a fixed point, and computational algorithms for determining bifurcation values of the system parameter.