Geodesic
On invariant surfaces in gene network models
Sibirskij žurnal industrialʹnoj matematiki, Tome 23 (2020) no. 4, pp. 69-76 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct an invariant two-dimensional surface in the phase portrait of a certain six-dimensional dynamical system which is considered as a model for the circular gene network functioning. This invariant surface contains an equilibrium point $S_0$ of the system, and if $S_0$ is hyperbolic then this surface contains a cycle of the system. The conditions for the existence of a cycle of this and similar systems were obtained earlier.
Keywords: circular gene network model, cycle, hyperbolic equilibrium point
Mots-clés : phase portrait, invariant surface. . 
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     author = {N. E. Kirillova},
     title = {On invariant surfaces in gene network models},
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     pages = {69--76},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2020_23_4_a4/}
}
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N. E. Kirillova. On invariant surfaces in gene network models. Sibirskij žurnal industrialʹnoj matematiki, Tome 23 (2020) no. 4, pp. 69-76. http://geodesic.mathdoc.fr/item/SJIM_2020_23_4_a4/

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