On the existence and stability of cycles in five-dimensional models of gene networks
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 4, pp. 403-411
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We obtain sufficient conditions for the existence and stability of closed trajectories in five-dimensional nonlinear dynamical systems which model gene networks with negative feedbacks.
@article{SJVM_2010_13_4_a3,
author = {V. P. Golubyatnikov and I. V. Golubyatnikov and V. A. Likhoshvai},
title = {On the existence and stability of cycles in five-dimensional models of gene networks},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {403--411},
publisher = {mathdoc},
volume = {13},
number = {4},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2010_13_4_a3/}
}
TY - JOUR AU - V. P. Golubyatnikov AU - I. V. Golubyatnikov AU - V. A. Likhoshvai TI - On the existence and stability of cycles in five-dimensional models of gene networks JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2010 SP - 403 EP - 411 VL - 13 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2010_13_4_a3/ LA - ru ID - SJVM_2010_13_4_a3 ER -
%0 Journal Article %A V. P. Golubyatnikov %A I. V. Golubyatnikov %A V. A. Likhoshvai %T On the existence and stability of cycles in five-dimensional models of gene networks %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2010 %P 403-411 %V 13 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2010_13_4_a3/ %G ru %F SJVM_2010_13_4_a3
V. P. Golubyatnikov; I. V. Golubyatnikov; V. A. Likhoshvai. On the existence and stability of cycles in five-dimensional models of gene networks. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 4, pp. 403-411. http://geodesic.mathdoc.fr/item/SJVM_2010_13_4_a3/