Study of critical phenomena in the model of electrochemical reactor
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2013), pp. 221-226
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The model of an electrochemical reactor by method of singular perturbations and numerical methods is studied. The behavior of solutions of system depending on values of parameters is studied, possibility of bifurcation of Andronov–Hopf and the phenomenon of "canard explosion” is considered.
Keywords:
singulary perturbed system, canards curves.
Mots-clés : relaxation oscillation, Andronov–Hopf bifurcation, phase portrait
Mots-clés : relaxation oscillation, Andronov–Hopf bifurcation, phase portrait
@article{VSGU_2013_9_a25,
author = {N. M. Firstova},
title = {Study of critical phenomena in the model of electrochemical reactor},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {221--226},
year = {2013},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2013_9_a25/}
}
N. M. Firstova. Study of critical phenomena in the model of electrochemical reactor. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2013), pp. 221-226. http://geodesic.mathdoc.fr/item/VSGU_2013_9_a25/
[1] Berthier F., Diard J.-P., Nugues S., “On the nature of the spontaneous oscillations observed for the Koper–Sluyters electrocatalitic reaction”, Journal of Electroanalytical Chemistry, 436:1 (1997), 35–42 | DOI | MR
[2] Marsden Dzh., Mak-Kraken M., Bifurkatsiya rozhdeniya tsikla i ee prilozheniya, Mir, M., 1980, 368 pp. | MR | Zbl
[3] Sobolev V. A., Schepakina E. A., Reduktsiya modelei i kriticheskie yavleniya v makrokinetike, Fizmatlit, M., 2010, 319 pp. | Zbl