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Journals / Chaos Theory and Applications / 2026 / Volume: 6 Issue: 1

In Search of Chaos in Genetic Systems

Olga Kozlovska(Riga Technical University)0009-0000-6438-0602
Felix Sadyrbaev(Daugavpils University)0000-0001-5074-804X
Pages
—
Publication Date
2024-03-31
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AI Summary & Key Takeaways

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

As the result, reach dynamical behavior of solutions can be observed, including chaotic behavior of solutions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A three-dimensional multiparametric system of ordinary differential equations, arising in the theory of genetic networks, is considered.
📊
Key Findings & Data:The examples of chaotic behavior are constructed using the methodology by Shilnikov.
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Conclusion & Impact:As the result, reach dynamical behavior of solutions can be observed, including chaotic behavior of solutions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Mathematical model · Dynamical system · Attractors

Abstract

A three-dimensional multiparametric system of ordinary differential equations, arising in the theory of genetic networks, is considered. The examples of chaotic behavior are constructed using the methodology by Shilnikov. This methodology requires the existence of a saddle-focus points satisfying some additional conditions. As the result, reach dynamical behavior of solutions can be observed, including chaotic behavior of solutions.

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Cite This Article

Kozlovska, O., Sadyrbaev, F. (2024). In Search of Chaos in Genetic Systems. Chaos Theory and Applications, Volume: 6 Issue: 1. https://doi.org/10.51537/chaos.1380419

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