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- W4387668447 abstract "Motivated by the increasingly important role of mathematical modeling and computer-aided analysis in engineering applications, we consider the problem of the mathematical modeling and computer-aided analysis of complex stochastic processes in thermo-kinetics. We study a mathematical model of the dynamic interaction of reagent concentration and temperature in autocatalysis. For the deterministic variant of this model, mono- and bistability parameter zones as well as local and global bifurcations are revealed, and we show how random multiplicative disturbances can deform coexisting equilibrium regimes. In a study of noise-induced transitions, we apply direct numerical simulation and an analytical approach based on the stochastic sensitivity technique. Two variants of bistability with different scenarios of stochastic transformations are studied and compared." @default.
- W4387668447 created "2023-10-17" @default.
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- W4387668447 date "2023-10-16" @default.
- W4387668447 modified "2023-10-17" @default.
- W4387668447 title "Analysis of Noise-Induced Transitions in a Thermo-Kinetic Model of the Autocatalytic Trigger" @default.
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- W4387668447 doi "https://doi.org/10.3390/math11204302" @default.
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