Analysis of the influence of random noise on self-oscillating chemical reactions by the Monte-Carlo method on supercomputers
| Autor: | S. S. Artem’ev, A. A. Ivanov |
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| Rok vydání: | 2016 |
| Předmět: |
Phase portrait
Oscillation Applied Mathematics Mathematical analysis Monte Carlo method Mode (statistics) Statistical model 010103 numerical & computational mathematics 01 natural sciences Industrial and Manufacturing Engineering 010101 applied mathematics Integral curve Stochastic differential equation Statistical physics 0101 mathematics Intensity (heat transfer) Mathematics |
| Zdroj: | Journal of Applied and Industrial Mathematics. 10:468-473 |
| ISSN: | 1990-4797 1990-4789 |
| DOI: | 10.1134/s1990478916040025 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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