Abstract: Amodel of current oscillation of copper potentiostatic electrodissolution in acidic chloride solution is proposed. It involves nonlinear steps dominated by couplings between chemical reactions and current. The linear stability theorem, as well as the bifurcation analysis is applied to discussing regimes of dynamic behavior in the parametric plane. Furthermore, both the polarization curve and the current oscillation curve are calculated respectively modeled as a stable steady state function related to the externally controlled potential and a stable limit cycle on state plane. The theoretical results are in good qualitative agreement with experimental observation reported in literature. It is concluded that the theoretical study of isoamplitude electrochemical oscillation can be achieved in light of Hopf bifurcation analysis.

Key words: Copper electrodissolution, Electrochemical oscillation, Stable limit cycle