On Cycles in Models of Functioning of Circular Gene Networks

On Cycles in Models of Functioning of Circular Gene Networks

We study the phase portrait of a nonlinear 10-dimensional dynamical system that simulates the functioning of one circular gene network. We find sufficient conditions for the existence of a cycle in the phase portrait. For a similar 18-dimensional dynamical system we obtain conditions for the existen...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-05, Vol.246 (6), p.779-787
Hauptverfasser: Golubyatnikov, V. P., Kirillova, N. E.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Computer simulation
Dynamical systems
Genes
Mathematics
Mathematics and Statistics
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Zusammenfassung:We study the phase portrait of a nonlinear 10-dimensional dynamical system that simulates the functioning of one circular gene network. We find sufficient conditions for the existence of a cycle in the phase portrait. For a similar 18-dimensional dynamical system we obtain conditions for the existence of at least two cycles in the phase portrait.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04780-7