Title | Mathematical modeling of self-sustained oscillations in methane oxidation over metallic catalysts |
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Authors | E. A. Lashina^{1}, N. A. Chumakova^{1}, G. A. Chumakov^{2}^{1}Boreskov Institute of Catalysis SB RAS ^{2}Sobolev Institute of Mathematics SB RAS |

Annotation | The results of mathametical modeling of self-sustained oscillations in methane oxidation reaction over metallic catalysts are presented. The model contains the singluar perturbations under some conditions. We determined the parameters at which both the degenerated and initial systems have the stable limit cycle. The dependences of the shape and the period of the oscillations on the parametes are studied to describe the experimental data. |

Keywords | self-sustained oscillations, singular perturbations, ODE system, heterogeneous catalytic reaction |

Citation | Lashina E. A., Chumakova N. A., Chumakov G. A. ''Mathematical modeling of self-sustained oscillations in methane oxidation over metallic catalysts'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 135-137. Available at: https://conf.svmo.ru/files/2023/papers/paper20.pdf. - Date of access: 02.12.2023. |

**© SVMO, National Research Mordovia State University, 2023**

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