Numerical and analytical study of bifurcations in a model of electrochemical reactions in fuel cells

Csörgő, Gábor and Simon L., Péter (2013) Numerical and analytical study of bifurcations in a model of electrochemical reactions in fuel cells. COMPUTERS AND MATHEMATICS WITH APPLICATIONS, 65 (3). pp. 325-337. ISSN 0898-1221

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Abstract

The bifurcations in a three-variable ODE model describing the oxygen reduction reaction on platinum surface is studied. The investigation is motivated by the fact that this reaction plays an important role in fuel cells. The goal of this paper is to determine the dynamical behaviour of the ODE system, with emphasis on the number and type of the stationary points, and to �nd the possible bifurcations. It is shown that a non-trivial steady state can appear through a transcritical bifurcation, or a stable and an unstable steady state arise as a result of saddle-node bifurcation. The saddle-node bifurcation curve is determined by using the Parametric Representation Method, and this enables us to determine numerically the parameter domain where bistability occurs that is important from the chemical point of view.

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