Abstract:
A probabilistic mechanism of the stochastic excitement in a model of flow reactor is studied. To analyze this phenomenon in regions of mono- and bistability the stochastic sensitivity function technique and the method of confidence ellipses are used.
Keywords:
random disturbances, excitability, stochastic sensitivity, confidence ellipses.
This work was partially supported by the RFBR, no. 16-08-00388 and by the Government of the Russian Federation, Act 211, contract 02.A03.21.0006.
Received: 07.04.2016 Received in revised form: 17.05.2016 Accepted: 20.06.2016
Bibliographic databases:
Document Type:
Article
UDC:512.54
Language: English
Citation:
Irina A. Bashkirtseva, Polina M. Fominykh, “Analysis of the stochastic excitement in a model of flow reactor”, J. Sib. Fed. Univ. Math. Phys., 9:3 (2016), 269–278
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\by Irina~A.~Bashkirtseva, Polina~M.~Fominykh
\paper Analysis of the stochastic excitement in a model of flow reactor
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2016
\vol 9
\issue 3
\pages 269--278
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\crossref{https://doi.org/10.17516/1997-1397-2016-9-3-269-278}
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Linking options:
https://www.mathnet.ru/eng/jsfu484
https://www.mathnet.ru/eng/jsfu/v9/i3/p269
This publication is cited in the following 2 articles:
I. Bashkirtseva, E. Slepukhina, “Variability of complex oscillatory regimes in the stochastic model of cold-flame combustion of a hydrocarbon mixture”, Phil. Trans. R. Soc. A., 380:2217 (2022)
Lev Ryashko, “Sensitivity analysis of the noise-induced oscillatory multistability in Higgins model of glycolysis”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 28:3 (2018)
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