Geodesic
On existence of a~cycle in one asymmetric model of a~molecular repressilator
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 20 (2017) no. 2, pp. 121-129

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We consider a nonlinear $6$-dimensional dynamic system which is a model of functioning of one simple molecular repressilator and find sufficient conditions of existence of a cycle $\mathcal C$ in the phase portrait of this system. An invariant neighborhood of $\mathcal C$ which retracts to $\mathcal C$ has been constructed. 
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     author = {N. B. Ayupova and V. P. Golubyatnikov and M. V. Kazantsev},
     title = {On existence of a~cycle in one asymmetric model of a~molecular repressilator},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {121--129},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2017_20_2_a0/}
}
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N. B. Ayupova; V. P. Golubyatnikov; M. V. Kazantsev. On existence of a~cycle in one asymmetric model of a~molecular repressilator. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 20 (2017) no. 2, pp. 121-129. http://geodesic.mathdoc.fr/item/SJVM_2017_20_2_a0/