Noise-induced transitions in a model of the thermochemical reactor

Bashkirtseva I.A., Ivanenko G.A., Klabukova J.V.

Ural Federal University named after the first President of Russia B.N.Yeltsin

In this paper, we consider a nonlinear model of the thermochemical reactor describing the dynamics of the concentration and temperature of the reagent in the presence of random disturbances. The deterministic model is analyzed and a parametric description of attractors and bifurcations is obtained. Zones of multistability with the coexistence of equilibrium and self-oscillating regimes were found, a description of the attraction basins and separatrices between them was obtained. It is shown how random disturbances generate transitions between coexisting attractors and form trigger modes of dynamics. The phenomenon of stochastic excitation is investigated, in which even small noises cause large amplitude spike oscillations in a zone where the only attractor is a stable equilibrium.

I.A. Bashkirtseva and L.B. Ryashko, “Noise-induced complex oscillatory dynamicsin the Zeldovich–Semenov model of acontinuous stirred tank reactor”, Chaos 31, 013105 (2021)

И.А. Башкирцева, Т.В. Рязанова, Л.Б. Ряшко, “Компьютерное моделирование нелинейной динамики. Непрерывные модели. Учебное пособие”, УрФУ, 2017

The research funding from the Ministry of Science and Higher Education of the Russian Federation (Ural Federal University Program of Development within the Priority-2030 Program) is gratefully acknowledged.


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