Genesis of Noise-Induced Multimodal Chaotic Oscillations in Enzyme Kinetics: Stochastic Bifurcations and Sensitivity Analysis

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Genesis of Noise-Induced Multimodal Chaotic Oscillations in Enzyme Kinetics: Stochastic Bifurcations and Sensitivity Analysis. / Bashkirtseva, Irina.
в: International Journal of Bifurcation and Chaos, Том 33, № 06, 2330013, 2023.

Результаты исследований: Вклад в журнал › Статья › Рецензирование

BibTeX

@article{1e2445c352d64b3193b2142d76079c36,

title = "Genesis of Noise-Induced Multimodal Chaotic Oscillations in Enzyme Kinetics: Stochastic Bifurcations and Sensitivity Analysis",

abstract = "In this paper, by the example of 3D model of enzyme reaction, we study mechanisms of noise-induced generation of complex multimodal chaotic oscillations in the monostability zone where only simple deterministic cycles are observed. In such a generation, a constructive role of deterministic toroidal transients is revealed. We perform a statistical analysis of these phenomena and localize the intensity range of the noise that causes stochastic P- and D-bifurcations connected with transitions to chaos and qualitative changes in the probability density. Constructive possibilities of the stochastic sensitivity function technique in the analytical study of these phenomena are demonstrated.",

author = "Irina Bashkirtseva",

year = "2023",

doi = "10.1142/S0218127423300136",

language = "English",

volume = "33",

journal = "International Journal of Bifurcation and Chaos",

issn = "0218-1274",

publisher = "World Scientific Publishing Co.",

number = "06",

}

RIS

TY - JOUR

T1 - Genesis of Noise-Induced Multimodal Chaotic Oscillations in Enzyme Kinetics: Stochastic Bifurcations and Sensitivity Analysis

AU - Bashkirtseva, Irina

PY - 2023

Y1 - 2023

N2 - In this paper, by the example of 3D model of enzyme reaction, we study mechanisms of noise-induced generation of complex multimodal chaotic oscillations in the monostability zone where only simple deterministic cycles are observed. In such a generation, a constructive role of deterministic toroidal transients is revealed. We perform a statistical analysis of these phenomena and localize the intensity range of the noise that causes stochastic P- and D-bifurcations connected with transitions to chaos and qualitative changes in the probability density. Constructive possibilities of the stochastic sensitivity function technique in the analytical study of these phenomena are demonstrated.

AB - In this paper, by the example of 3D model of enzyme reaction, we study mechanisms of noise-induced generation of complex multimodal chaotic oscillations in the monostability zone where only simple deterministic cycles are observed. In such a generation, a constructive role of deterministic toroidal transients is revealed. We perform a statistical analysis of these phenomena and localize the intensity range of the noise that causes stochastic P- and D-bifurcations connected with transitions to chaos and qualitative changes in the probability density. Constructive possibilities of the stochastic sensitivity function technique in the analytical study of these phenomena are demonstrated.

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UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85161135571

U2 - 10.1142/S0218127423300136

DO - 10.1142/S0218127423300136

M3 - Article

VL - 33

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

SN - 0218-1274

IS - 06

M1 - 2330013

ER -

ID: 40041576