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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Funding
The authors were supported within the framework of the State Contract of Institute of Cytology and Genetics (project no. FWNR–2022–0020), the State Contract of Institute of Computational Mathematics and Mathematical Geophysics (project no. 0251–2021–0004), the State Contract of Sobolev Institute of Mathematics (project no. FWNF–2022–0009), and partially by the Russian Foundation for Basic Research (project no. 20–31–90011).
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Golubyatnikov, V.P., Podkolodnaya, O.A., Podkolodnyy, N.L. et al. On Conditions for the Existence of Cycles in Two Models of a Circadian Oscillator of Mammals. J. Appl. Ind. Math. 15, 597–608 (2021). https://doi.org/10.1134/S1990478921040037
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DOI: https://doi.org/10.1134/S1990478921040037