In order to contribute much more to the corrosion science, in this doctorate thesis, some other disciplines, such as linear system analysis theory, non-linear and non-equilibrium thermodynamics, dissipative structure theory, fractal geometry, grey model method and fuzzy mathematics, a respectively introduced into some typical corrosion electrochemical systems: 1) transient measurement system perturbed by a small amplitude signal (linear system); 2) passivation system (dissipative system); 3) transpassivation system (complicated system) and 4) soil corrosion system (fuzzy system). By means of mathematical model analysis of these systems, some new results a obtained.
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