Geodesic
Conditions of existence of cycles in two basic models of circadian oscillator of Mammalians
Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 4, pp. 39-53

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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.
Keywords: circadian oscillator, gene network, mathematical model, non-linear dynamical systems, positive and negative feedbacks, hyperbolic equilibrium point, cycle. .
Mots-clés : phase portrait 
@article{SJIM_2021_24_4_a2,
     author = {V. P. Golubyatnikov and O. A. Podkolodnaya and N. L. Podkolodnyi and N. B. Ayupova and N. E. Kirillova and E. V. Yunosheva},
     title = {Conditions of existence of cycles in two basic models of circadian oscillator of {Mammalians}},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {39--53},
     publisher = {mathdoc},
     volume = {24},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2021_24_4_a2/}
}
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V. P. Golubyatnikov; O. A. Podkolodnaya; N. L. Podkolodnyi; N. B. Ayupova; N. E. Kirillova; E. V. Yunosheva. Conditions of existence of cycles in two basic models of circadian oscillator of Mammalians. Sibirskij žurnal industrialʹnoj matematiki, Tome 24 (2021) no. 4, pp. 39-53. http://geodesic.mathdoc.fr/item/SJIM_2021_24_4_a2/