Modeling critical phenomena in the reaction of carbon monoxide catalytic oxidation in a reaction-diffusion system
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 3, pp. 116-121.

Voir la notice de l'article provenant de la source Math-Net.Ru

We construct a model of the dynamics of a five-stage mechanism of carbon monoxide catalytic oxidation reaction with diffusion. Analytical expressions for bifurcation curves are obtained. It is shown that the the inclusion of a diffusion process in the model can lead to a bifurcation.
Keywords: chemical kinetics, critical phenomena
Mots-clés : diffusion, bifurcation.
@article{SJIM_2013_16_3_a9,
     author = {O. E. Leshakov and E. A. Mamash and M. P. Krasil'nikov},
     title = {Modeling critical phenomena in the reaction of carbon monoxide catalytic oxidation in a reaction-diffusion system},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {116--121},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_3_a9/}
}
TY  - JOUR
AU  - O. E. Leshakov
AU  - E. A. Mamash
AU  - M. P. Krasil'nikov
TI  - Modeling critical phenomena in the reaction of carbon monoxide catalytic oxidation in a reaction-diffusion system
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2013
SP  - 116
EP  - 121
VL  - 16
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2013_16_3_a9/
LA  - ru
ID  - SJIM_2013_16_3_a9
ER  - 
%0 Journal Article
%A O. E. Leshakov
%A E. A. Mamash
%A M. P. Krasil'nikov
%T Modeling critical phenomena in the reaction of carbon monoxide catalytic oxidation in a reaction-diffusion system
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2013
%P 116-121
%V 16
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2013_16_3_a9/
%G ru
%F SJIM_2013_16_3_a9
O. E. Leshakov; E. A. Mamash; M. P. Krasil'nikov. Modeling critical phenomena in the reaction of carbon monoxide catalytic oxidation in a reaction-diffusion system. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 3, pp. 116-121. http://geodesic.mathdoc.fr/item/SJIM_2013_16_3_a9/

[1] Zhabotinskii A. M., Kontsentratsionnye avtokolebaniya, Nauka, M., 1979

[2] Yablonskii G. S., Bykov V. I., Elokhin V. I., Kinetika modelnykh reaktsii geterogennogo kataliza, Nauka, Novosibirsk, 1984

[3] Bykov V. I., Modelirovanie kriticheskikh yavlenii v khimicheskoi kinetike, KomKniga, M., 2007

[4] Bykov V. I., Tsybenova S. B., Nelineinye modeli khimicheskoi kinetiki, KRASAND, M., 2011

[5] Bykov V. I., Tsybenova S. B., Slinko M. G., “Modelirovanie reaktsii na poverkhnosti katalizatora”, Dokl. AN, 388:6 (2003), 769–773

[6] Leshakov O. E., Mamash E. A., “Modelirovanie kriticheskikh yavlenii v pyatistadiinoi reaktsii kataliticheskogo okisleniya oksida ugleroda”, Sib. zhurn. industr. matematiki, 15:3(51) (2012), 70–76