Application of Linear Stability and Bifurcation Analysis to Passivation Models

Linear stability and bifurcation analysis is applied to two passivation models from the literature. The necessary and sufficient conditions for multiple steady states are determined for one of the models. For the other model, the parameter values for oscillatory solutions of the two‐dimensional system of equations are evaluated. The results of these analyses show the power of these mathematical techniques in determining the conditions for multiple steady states and periodic solutions of various nonlinear models