In Search of Chaos in Genetic Systems

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Chaos Theory and Applications
Volume:6 Issue:1
In Search of Chaos in Genetic Systems

In Search of Chaos in Genetic Systems

Authors : Olga Kozlovska, Felix Sadyrbaev

Pages : 13-18

Doi:10.51537/chaos.1380419

View : 80 | Download : 87

Publication Date : 2024-03-31

Article Type : Research Paper

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.
Keywords : Mathematical model, Dynamical system, Attractors, Genetic regulatory networks

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