On Uniqueness of a Cycle in One Circular Gene Network Model

We obtain conditions for uniqueness of a cycle in the phase portrait of a piecewise linear dynamical system of the Elowitz–Leibler type which simulates the functioning of a simplest circular gene network. We describe the behavior of trajectories of this system in the invariant toric neighborhood of...

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Veröffentlicht in:	Siberian mathematical journal 2022, Vol.63 (1), p.79-86
Hauptverfasser:	Golubyatnikov, V. P., Minushkina, L. S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Dynamical systems Mathematics Mathematics and Statistics Uniqueness
Online-Zugang:	Volltext
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Zusammenfassung:	We obtain conditions for uniqueness of a cycle in the phase portrait of a piecewise linear dynamical system of the Elowitz–Leibler type which simulates the functioning of a simplest circular gene network. We describe the behavior of trajectories of this system in the invariant toric neighborhood of the cycle.
ISSN:	0037-4466 1573-9260
DOI:	10.1134/S0037446622010062