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

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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, Poincaré mapping, fixed point, limit cycle.
Mots-clés : invariant torus 
@article{SJIM_2022_25_3_a2,
     author = {V. V. Ivanov},
     title = {An attracting limit cycle of an odd-dimensional circular gene network model},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {25--32},
     publisher = {mathdoc},
     volume = {25},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2022_25_3_a2/}
}
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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/