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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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/}
}
TY  - JOUR
AU  - V. V. Ivanov
TI  - An attracting limit cycle of an odd-dimensional circular gene network model
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2022
SP  - 25
EP  - 32
VL  - 25
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2022_25_3_a2/
LA  - ru
ID  - SJIM_2022_25_3_a2
ER  - 
%0 Journal Article
%A V. V. Ivanov
%T An attracting limit cycle of an odd-dimensional circular gene network model
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2022
%P 25-32
%V 25
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2022_25_3_a2/
%G ru
%F SJIM_2022_25_3_a2
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/

[1] V. P. Golubyatnikov, V. V. Ivanov, “Tsikly v nechetnomernykh modelyakh koltsevykh gennykh setei”, Sib. zhurn. industr. matematiki, 21:4 (2018), 28–38

[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

[3] V. P. Golubyatnikov, V. V. Ivanov, “Edinstvennost i ustoichivost tsikla v trekhmernykh blochnolineinykh modelyakh koltsevykh gennykh setei”, Sib. zhurn. chistoi i prikl. matematiki, 18:4 (2018), 19–28

[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