Analysis of deterministic and stochastic oscillatory regimes in nonlinear thermochemical kinetics

Abstract

In this paper, we analyze mechanisms of generation of complex oscillatory regimes in thermochemical reactors. In this study, a mathematical model of the continuous stirred tank reactor (CSTR) is used. Various scenarios of transitions between equilibrium and oscillatory regimes (quasiharmonic and spiking) are studied, and corresponding local and global bifurcations are discussed. It is shown how inevitably present weak noise in the temperature of CSTR can generate complex mixed‐mode oscillatory regimes in parameter ranges where the unforced initial deterministic model exhibits a stable equilibrium as an attractor. In the study of such noise‐induced excitement, direct numerical simulation and a new mathematical technique based on the stochastic sensitivity and confidence domain method are effectively used.