Ryashko Lev
Ural Mathematical Center, Ural Federal University, Lenina, 51, 620000 Ekaterinburg, Russia.
Chaos. 2021 Jan;31(1):013105. doi: 10.1063/5.0030511.
Noise-induced variability of thermochemical processes in a continuous stirred tank reactor is studied on the basis of the Zeldovich-Semenov dynamical model. For the deterministic variant of this model, mono- and bistability parametric zones as well as local and global bifurcations are determined. Noise-induced transitions between coexisting attractors (equilibria and cycles) and stochastic excitement with spike oscillations are investigated by direct numerical simulation and the analytical approach based on the stochastic sensitivity technique. For the stochastic model, the phenomenon of coherence resonance is discovered and studied.
基于泽尔多维奇-谢苗诺夫动力学模型，研究了连续搅拌釜式反应器中热化学过程的噪声诱导变异性。对于该模型的确定性变体，确定了单稳态和双稳态参数区域以及局部和全局分岔。通过直接数值模拟和基于随机灵敏度技术的分析方法，研究了共存吸引子（平衡态和周期态）之间的噪声诱导转变以及尖峰振荡的随机激发。对于随机模型，发现并研究了相干共振现象。
