Analysis of the influence of random noise on self-oscillating chemical reactions by the Monte-Carlo method on supercomputers
- Authors: Artem’ev S.S.1,2, Ivanov A.A.1
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Affiliations:
- Institute of Computational Mathematics and Mathematical Geophysics
- Novosibirsk State University
- Issue: Vol 10, No 4 (2016)
- Pages: 468-473
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/212495
- DOI: https://doi.org/10.1134/S1990478916040025
- ID: 212495
Cite item
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.
About the authors
S. S. Artem’ev
Institute of Computational Mathematics and Mathematical Geophysics; Novosibirsk State University
Author for correspondence.
Email: ssa@osmf.sscc.ru
Russian Federation, pr. Lavrent’eva 6, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090
A. A. Ivanov
Institute of Computational Mathematics and Mathematical Geophysics
Email: ssa@osmf.sscc.ru
Russian Federation, pr. Lavrent’eva 6, Novosibirsk, 630090