Ryashko Lev
Institute of Natural Sciences and Mathematics, Ural Federal University, Lenina, 51, 620000 Ekaterinburg, Russia.
Chaos. 2018 Mar;28(3):033602. doi: 10.1063/1.4989982.
A phenomenon of the noise-induced oscillatory multistability in glycolysis is studied. As a basic deterministic skeleton, we consider the two-dimensional Higgins model. The noise-induced generation of mixed-mode stochastic oscillations is studied in various parametric zones. Probabilistic mechanisms of the stochastic excitability of equilibria and noise-induced splitting of randomly forced cycles are analysed by the stochastic sensitivity function technique. A parametric zone of supersensitive Canard-type cycles is localized and studied in detail. It is shown that the generation of mixed-mode stochastic oscillations is accompanied by the noise-induced transitions from order to chaos.
研究了糖酵解中噪声诱导的振荡多稳态现象。作为基本的确定性框架，我们考虑二维希金斯模型。在不同参数区域研究了噪声诱导的混合模式随机振荡的产生。通过随机灵敏度函数技术分析了平衡点随机兴奋性和随机强迫周期的噪声诱导分裂的概率机制。定位并详细研究了超敏感卡诺型周期的参数区域。结果表明，混合模式随机振荡的产生伴随着噪声诱导的从有序到混沌的转变。
