| Tartalom: |
http://real.mtak.hu/19574/ |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
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| Cím: |
Numerical and analytical study of bifurcations in a model of electrochemical reactions in fuel cells
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| Létrehozó: |
Csörgő, Gábor
Simon L., Péter
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| Dátum: |
2013
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| Téma: |
QA Mathematics / matematika
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| Tartalmi leírás: |
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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| Típus: |
Article
PeerReviewed
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| Formátum: |
text
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| Azonosító: |
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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