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Analysis of the influence of random noise on self-oscillating chemical reactions by the Monte-Carlo method on supercomputers

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Abstract

Under study is the influence of external and internal random noises on the behavior of concentrations of the components of chemical reactions. We investigate the use of statistical modeling for solving the relevant stochastic differential equations (SDEs). Some results of numerical experiments are presented. To analyze numerical solutions, we use the frequency characteristics that generalize the integral curve and the phase portrait. Numerical experiments show that the random noise even with low intensity causes all kinds of transitions from one oscillation mode to another in the solutions of SDEs.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, pr. Lavrent’eva 6, Novosibirsk, 630090, Russia

    S. S. Artem’ev & A. A. Ivanov

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    S. S. Artem’ev

Authors
  1. S. S. Artem’ev
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  2. A. A. Ivanov
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Correspondence to S. S. Artem’ev.

Additional information

Original Russian Text © S.S. Artem’ev and A.A. Ivanov, 2016, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2016, Vol. XIX, No. 4, pp. 15–21.

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Artem’ev, S.S., Ivanov, A.A. Analysis of the influence of random noise on self-oscillating chemical reactions by the Monte-Carlo method on supercomputers. J. Appl. Ind. Math. 10, 468–473 (2016). https://doi.org/10.1134/S1990478916040025

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  • DOI: https://doi.org/10.1134/S1990478916040025

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