Geodesic
On some many-dimensional models of the functioning of gene networks
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 1, pp. 3-9

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We obtain a sufficient condition for the nonuniqueness of cycles in some nonlinear dynamical systems considered as models of the functioning of gene networks. Some constructive methods of determination of these cycles and invariant surfaces containing these cycles are described as well.
Keywords: nonlinear dynamical systems, gene networks models, stationary points
Mots-clés : phase portraits, invariant domains, cycles. 
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     title = {On some many-dimensional models of the functioning of gene networks},
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     url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_1_a0/}
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A. A. Akinshin; V. P. Golubyatnikov; I. V. Golubyatnikov. On some many-dimensional models of the functioning of gene networks. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 1, pp. 3-9. http://geodesic.mathdoc.fr/item/SJIM_2013_16_1_a0/