Conditions of existence of cycles in two basic models of circadian oscillator of Mammalians

V. P. Golubyatnikov ; O. A. Podkolodnaya ; N. L. Podkolodnyi ; N. B. Ayupova ; N. E. Kirillova ; E. V. Yunosheva

Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 4, pp. 39-53.

Résumé

We construct two non-linear dynamcal systems as models of symplest circadian oscillator's functioning. Conditions of uniqueness of equilibrium point of these systems are described as well as conditions of existence of cycles in their phase portraits.

Détail

Keywords: circadian oscillator, gene network, mathematical model, non-linear dynamical systems, positive and negative feedbacks, hyperbolic equilibrium point, cycle. .
Mots-clés : phase portrait

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