Investigation of Correlation Entropy in the Nonlinear Differential Equations Arising from Electrodissolution of Metals, as a Quantifier of Chaos for the Electrochemical Chaotic Oscillations

Due to advancement in the field of nonlinear dynamics, the interest in electrochemical systems exhibiting a variety of nonlinear phenomena ranging from simple oscillations to chaos has been revived. The application of nonlinear dynamic techniques has recently led to the characterization of many dynamical properties of these temporal states in electrochemical processes [1]. Temporal states in electrochemical processes could be come from experimental data or solutions of differential equations that based on the mathematical modeling of electrochemical systems. Koper et. all [2]performed the combination of fick’s diffusion equation with kirchhoff’s equation of transferring of electrical charge through the electrochemical circuit truncated to set of equations that is indicated by equations 1-3, as so-called Koper-Gaspard equations for the rotating disk electrode (RDE) which explain the interchange of electrochemical species through the specific geometry of electrode and appropriate flow of solution .Where v is the applied (circuit) potential, e is the true electrode potential appearing across the interfacial double layer, r is an adjustable series resistance, d is the rotation rate, and k(e) is the potential-dependent rate constant of electron transfer, where e0 is the dimensionless standard potential,