Geodesic
An attracting limit cycle of an odd-dimensional circular gene network model
Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 3, pp. 25-32 Cet article a éte moissonné depuis la source Math-Net.Ru

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For an odd-dimensional autonomous system which simulates functioning of a circular gene network regulated by negative feedbacks only, we construct an invariant domain homeomorphic to torus. This domain contains a limit cycle of this system, and trajectories of all its points are attracted by this cycle.
Keywords: circular gene network model, negative feedbacks, fixed point, limit cycle.
Mots-clés : invariant torus, Poincaré mapping 
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V. V. Ivanov. An attracting limit cycle of an odd-dimensional circular gene network model. Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 3, pp. 25-32. http://geodesic.mathdoc.fr/item/SJIM_2022_25_3_a2/

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[2] V. P. Golubyatnikov, V. V. Ivanov, L. S. Minushkina, “O suschestvovanii tsikla v odnoi nesimmetrichnoi modeli koltsevoi gennoi seti”, Sib. zhurn. chistoi i prikl. matematiki, 18:3 (2018), 26–32

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[4] N. B. Ayupova, V. P. Golubyatnikov, “Ob odnom tsikle v pyatimernoi modeli koltsevoi gennoi seti”, Sib. zhurn. industr. matematiki, 24:3 (2021), 19–29