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Sibirskii Zhurnal Industrial'noi Matematiki, 2016, Volume 19, Number 4, Pages 15–21
DOI: https://doi.org/10.17377/sibjim.2016.19.402 (Mi sjim934) 		 
Analysis of the influence of random noises for self-oscillating chemical reactions by a Monte-Carlo method on supercomputers

S. S. Artemievab, A. A. Ivanova

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Acad. Lavrentyev av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk
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DOI: https://doi.org/10.17377/sibjim.2016.19.402
Abstract: We study the question of the influence of external and internal random noises on the behavior of the concentrations of the components of chemical reactions and the use of statistical modeling for the solutions of the appearing stochastic differential equations. The results of numerical experiments are given. For the analysis of numerical solutions, we use frequency characteristics generalizing an integral curve and the phase portrait. The numerical experiments showed that even a random noise with low intensity causes all kinds of transitions from one oscillation mode to another in the solutions to the SDEs.
Keywords: stochastic differential equation, cumulative frequency curve, frequency phase portrait, generalized Euler method, concentration, chemical reaction.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00340
Ministry of Education and Science of the Russian Federation НШ-5111.2014.1
Received: 14.12.2015
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 4, Pages 468–473
DOI: https://doi.org/10.1134/S1990478916040025
Bibliographic databases:
Document Type: Article
UDC: 519.676
Language: Russian
Citation: S. S. Artemiev, A. A. Ivanov, “Analysis of the influence of random noises for self-oscillating chemical reactions by a Monte-Carlo method on supercomputers”, Sib. Zh. Ind. Mat., 19:4 (2016), 15–21; J. Appl. Industr. Math., 10:4 (2016), 468–473
Citation in format AMSBIB
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\by S.~S.~Artemiev, A.~A.~Ivanov
\paper Analysis of the influence of random noises for self-oscillating chemical reactions by a~Monte-Carlo method on supercomputers
\jour Sib. Zh. Ind. Mat.
\yr 2016
\vol 19
\issue 4
\pages 15--21
\mathnet{http://mi.mathnet.ru/sjim934}
\crossref{https://doi.org/10.17377/sibjim.2016.19.402}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588959}
\elib{https://elibrary.ru/item.asp?id=27208353}
\transl
\jour J. Appl. Industr. Math.
\yr 2016
\vol 10
\issue 4
\pages 468--473
\crossref{https://doi.org/10.1134/S1990478916040025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84996536579}
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