A. A. Akinshin, N. B. Ayupova, V. P. Golubyatnikov, N. E. Kirillova, O. A. Podkolodnaya, N. L. Podkolodnyi, “On one numerical model of a circadian oscillator”, Sib. Zh. Vychisl. Mat., 2022, Volume 25, Number 3,Pages <nobr>227

This article is cited in 1 paper

On one numerical model of a circadian oscillator

A. A. Akinshin^a, N. B. Ayupova^b, V. P. Golubyatnikov^b, N. E. Kirillova^b, O. A. Podkolodnaya^c, N. L. Podkolodnyi^cd

^a JetBrains, просп. Приморский, 70, строение 1, Санкт-Петербург, 197183
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^c Institute of Cytology and Genetics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^d Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk

Abstract: For a model of circadian oscilator represented in the form of 6-dimensional nonlinear dynamical system, conditions of uniqueness of an equilibrium point, and conditions of existence of a periodic trajectory (cycle) are established. One client-server application is elaborated in order to fulfill numerical experiments with this model on a cloud server, and to visualize results of these experiments.

Key words: nonlinear dynamical system, phase portrait, hyperbolic equilibrium point, linearization matrix, periodic trajectory, cycle, mathematical model, circadian oscillator.

UDC: 517.938

Received: 20.12.2021
Revised: 21.01.2022
Accepted: 24.04.2022

DOI: 10.15372/SJNM20220301