On a Cycle in a -Dimensional Circular Gene Network Model.

Autor: Ayupova, N. B., Golubyatnikov, V. P.
Zdroj: Journal of Applied & Industrial Mathematics; Aug2021, Vol. 15 Issue 3, p376-383, 8p
Abstrakt: The necessary and sufficient conditions are obtained for the uniqueness of a cycle in the phase portrait of a piecewise linear dynamical system that simulates functioning a gene network with five components regulated by negative feedbacks only. We describe the behavior of trajectories of this system in the invariant domain homeomorphic to a torus and prove the stability of this cycle. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index