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Journal of Applied and Industrial Mathematics

Published in:

01-11-2021

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

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

Published in: Journal of Applied and Industrial Mathematics | Issue 4/2021

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Abstract

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

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Title: On Conditions for the Existence of Cycles in Two Models of a Circadian Oscillator of Mammals
Authors: V. P. Golubyatnikov
O. A. Podkolodnaya
N. L. Podkolodnyy
N. B. Ayupova
N. E. Kirillova
E. V. Yunosheva
Publication date: 01-11-2021
Publisher: Pleiades Publishing
Published in: Journal of Applied and Industrial Mathematics / Issue 4/2021
Print ISSN: 1990-4789
Electronic ISSN: 1990-4797
DOI: https://doi.org/10.1134/S1990478921040037

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