Geodesic
The parametric analysis of Volter--Salnikov nonlinear mathematical model
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 4, pp. 565-572.

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

Parametric analysis of Volter–Salnikov nonlinear mathematical model is made. The parametric dependencies of the steady states, bifurcation curves, parametric and phase portraits, temporary dependencies are constructed.
Keywords: dynamic model, parametric and phase portraits
Mots-clés : bifurcation, oscillations. 
@article{JSFU_2010_3_4_a13,
     author = {Svetlana B. Tsybenova},
     title = {The parametric analysis of {Volter--Salnikov} nonlinear mathematical model},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {565--572},
     publisher = {mathdoc},
     volume = {3},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a13/}
}
TY  - JOUR
AU  - Svetlana B. Tsybenova
TI  - The parametric analysis of Volter--Salnikov nonlinear mathematical model
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2010
SP  - 565
EP  - 572
VL  - 3
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a13/
LA  - ru
ID  - JSFU_2010_3_4_a13
ER  - 
%0 Journal Article
%A Svetlana B. Tsybenova
%T The parametric analysis of Volter--Salnikov nonlinear mathematical model
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2010
%P 565-572
%V 3
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a13/
%G ru
%F JSFU_2010_3_4_a13
Svetlana B. Tsybenova. The parametric analysis of Volter--Salnikov nonlinear mathematical model. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 4, pp. 565-572. http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a13/

[1] V. I. Bykov, S. B. Tsybenova, “Parametricheskii analiz modelei reaktorov idealnogo smesheniya i vytesneniya”, FGV, 37:6 (2001), 22–29 | MR

[2] V. I. Bykov, S. B. Tsybenova, “Parametricheskii analiz modeli protochnogo reaktora idealnogo smesheniya”, Teor. osnovy khim. tekhn., 37:1 (2003), 64–75

[3] B. V. Volter, I. E. Salnikov, Ustoichivost rezhimov raboty khimicheskikh reaktorov, Khimiya, M., 1981

[4] V. I. Bykov, A. M. Kytmanov, M. Z. Lazman, Metody isklyucheniya v kompyuternoi algebre mnogochlenov, Nauka, Novosibirsk, 1991 | Zbl

[5] V. I. Bykov, S. B. Tsybenova, M. G. Slinko, “Bifurkatsii Andronova–Khopfa v modeli Arisa–Amundsona”, Dokl. RAN, 378 (2001), 214–217 | Zbl