On Conditions for the Existence of Cycles in Two Models of a Circadian Oscillator of Mammals

V. P. Golubyatnikov, O. A. Podkolodnaya, N. L. Podkolodnyy, N. B. Ayupova, N. E. Kirillova, E. V. Yunosheva

Research output: Contribution to journalArticlepeer-review

Abstract

We construct two nonlinear dynamical systems of the functioning simplest circadianoscillator. Some conditions of the uniqueness of the equilibrium point of these systems aredescribed as well as the conditions for the existence of cycles in their phase portraits.

Translated title of the contributionОб условиях существования циклов в двух базовых моделях циркадного осциллятора млекопитающих
Original languageEnglish
Pages (from-to)597-608
Number of pages12
JournalJournal of Applied and Industrial Mathematics
Volume15
Issue number4
DOIs
Publication statusPublished - Nov 2021

Keywords

  • circadian oscillator
  • gene network
  • hyperbolic equilibrium point
  • limit cycle
  • mathematical model
  • nonlinear dynamical system
  • phase portrait
  • positive and negative feedback

OECD FOS+WOS

  • 1.01 MATHEMATICS
  • 2.03 MECHANICAL ENGINEERING

Fingerprint

Dive into the research topics of 'On Conditions for the Existence of Cycles in Two Models of a Circadian Oscillator of Mammals'. Together they form a unique fingerprint.

Cite this