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Journals / Advances in the Theory of Nonlinear Analysis and its Application / 2023 / Cilt: 7 Sayı: 2

On attractors in dynamical systems modeling genetic networks

Diana Ogorelova(Daugavpils Universit)
Felix Sadyrbaev(Institute of Mathematics and Computer Science)0000-0001-5074-804X
Inna Samuılık(Riga Technical University)
Pages
486–498
Publication Date
2023-07-23
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Visualizations and examples are provided.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The system of ordinary differential equations that arises in the theory of genetic networks is studied.
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Key Findings & Data:Attracting sets of a special kind is the focus of the study.
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Conclusion & Impact:Visualizations and examples are provided.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:phase space · attractors · networks

Abstract

The system of ordinary differential equations that arises in the theory of genetic networks is studied. Attracting sets of a special kind is the focus of the study. These attractors appear as combinations of attractors of lower dimensions, which are stable limit cycles. The properties of attractors are studied. Visualizations and examples are provided.

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Cite This Article

Ogorelova, D., Sadyrbaev, F., Samuılık, I. (2023). On attractors in dynamical systems modeling genetic networks. Advances in the Theory of Nonlinear Analysis and its Application, Cilt: 7 Sayı: 2, 486–498. https://doi.org/10.31197/atnaa.1248853

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