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.
Primary Language | English |
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Subjects | Biomedical Engineering (Other) |
Journal Section | Research Articles |
Authors | |
Publication Date | March 31, 2024 |
Submission Date | October 24, 2023 |
Acceptance Date | December 23, 2023 |
Published in Issue | Year 2024 Volume: 6 Issue: 1 |
Chaos Theory and Applications in Applied Sciences and Engineering: An interdisciplinary journal of nonlinear science
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