Bifurcation phenomenon

Some electrode potentials that are characteristic of corrosion can be regarded as the bifurcation points, and thus the abmpt change of corrosion state can be understood as a kind of bifurcation phenomenon. Figure 2 is... 

In the preceding sections, various types of fluctuations and instabilities essential to corrosion were examined. As a result, it was shown that a corrosion system involves various kinds of problems of stability and instability. Unlike thermodynamic equilibrium systems, in nonequilibrium systems like corrosion systems, a drastic change in the reaction state should be defined as a bifurcation phenomenon. 

Bifurcation phenomenon is a mathematical concept introduced by Poincare, see Poincare (1885). Although special, the phenomenon has quite general applications, (Gurel 1979-2). Since the theory is the study of creation of solutions as the parameters of the system vary the appearance and the disappearance of oscillatory solutions can also be studied by the theory of bifurcations. 

Chapter 8. Bifurcation Phenomenon and Multi-stability which can be simplified to the model reaction system... 

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