Slow-fast oscillatory dynamics and phantom attractors in stochastic modeling of biochemical reactions

被引：5

作者：

Bashkirtseva, Irina ^{[1
]}

Ryashko, Lev ^{[1
]}

机构：

[1] Ural Fed Univ, Dept Theoret & Math Phys, Lenina 51, Ekaterinburg 620000, Russia

来源：

CHAOS | 2022年 / 32卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

SINGULAR PERTURBATION-THEORY; LIMIT-CYCLE BEHAVIOR; EXCITABILITY; SYSTEMS; CHAOS; MODES; NOISE;

D O I：

10.1063/5.0084656

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A problem of the probabilistic analysis of stochastic phenomena in slow-fast dynamical systems modeling biochemical reactions is considered. We study how multiplicative noise induces systematic shifts of probabilistic distributions and forms "phantom " attractors in nonlinear enzymatic models. The mathematical analysis of the underlying probabilistic mechanism of such stochastic transformations is performed by the "freeze-and-average " method. Our theoretical results are supported by direct numerical simulation. Published under an exclusive license by AIP Publishing.

引用

页数：10

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