Characteristic curve of nonlinear resistive circuits

Distinguishing the stability of characteristic curves for nonlinear resistive circuits is requirement and importance to design various electronic circuit exactly. Since every resistive element has a parasitic component, solutions on the characteristic curves are stable or unstable. In this paper, we show that the stability will be mainly changed at the bifurcation points such as limit point and branch point. Applying the curve tracing method, we can decide the unstable regions on characteristic curves by the locations of bifurcation points