Geodesic
On the uniqueness of a~cycle in an asymmetric $3$-dimensional model of a~molecular repressilator
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 1, pp. 3-7

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We obtain sufficient conditions for the uniqueness of cycles in some nonlinear dynamical systems considered as models for the functioning of a molecular repressilator. A constructive method for the determination of the invariant surface containing this cycle is described as well.
Keywords: nonlinear dynamical system, molecular repressilator, cycle
Mots-clés : phase portrait, invariant domain, projective transformation. 
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     author = {N. B. Ayupova and V. P. Golubyatnikov},
     title = {On the uniqueness of a~cycle in an asymmetric $3$-dimensional model of a~molecular repressilator},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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N. B. Ayupova; V. P. Golubyatnikov. On the uniqueness of a~cycle in an asymmetric $3$-dimensional model of a~molecular repressilator. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 1, pp. 3-7. http://geodesic.mathdoc.fr/item/SJIM_2014_17_1_a0/