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@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/
[1] Likhoshvai V. A., Golubyatnikov V. P., Demidenko G. V., Evdokimov A. A., Fadeev S. I., “Teoriya gennykh setei”, Sistemnaya kompyuternaya biologiya. Integratsionnye proekty, 14, eds. N. A. Kolchanov, C. S. Goncharov, SO RAN, Novosibirsk, 2008, 395–480
[2] Golubyatnikov V. P., Likhoshvai V. A., Volokitin E. P., Gaidov Yu. A., Osipov A. F., “Periodic trajectories and Andronov–Hopf bifurcations in models of gene networks”, Bioinformatics of Genome Regulation and Structure, v. II, Springer Science, Business Media Inc., 2006, 405–414
[3] Golubyatnikov V. P., Kleschev A. G., Klescheva K. A., Kudryavtseva A. V., “Issledovanie fazovykh portretov trekhmernykh modelei gennykh setei”, Sibirskii zhurn. industrialnoi matematiki, 9:1 (2006), 75–84 | MR
[4] Gaidov Yu. A., Golubyatnikov V. P., “O nekotorykh dinamicheskikh sistemakh, modeliruyuschikh nesimmetrichnye gennye seti”, Vestnik NGU. Seriya matematicheskaya, 7:2 (2007), 8–17
[5] Volokitin E. P., Treskov S. A., “Bifurkatsiya Andronova–Khopfa v modeli gipoteticheskikh gennykh setei”, Sibirskii zhurn. industrialnoi matematiki, 8:1 (2005), 30–40 | MR
[6] Gaidov Yu. A., “Ob ustoichivosti periodicheskikh traektorii v nekotorykh modelyakh gennykh setei”, Sibirskii zhurn. industrialnoi matematiki, 11:1 (2008), 57–62 | MR
[7] Hastings S., Tyson J., Webster D., “Existence of periodic solutions for negative feedback cellular control systems”, J. of Diff. Equations, 25 (1977), 39–64 | DOI | MR | Zbl
[8] Likhoshvai V. A., Matushkin Yu. G., Fadeev S. I., “Zadachi teorii funktsionirovaniya gennykh setei”, Sibirskii zhurn. industrialnoi matematiki, 6:2 (2003), 64–80 | MR | Zbl
[9] Golubyatnikov V. P., Gaidov Yu. A., Kleshchev A. G., Volokitin E. P., “Modeling of asymmetric gene networks functioning with different types of regulation”, Biophysics, 51:1 (2006), 61–65 | DOI
[10] Smith R. A., “Orbital stability for ordinary differential equations”, J. of Diff. Equations, 69 (1987), 265–287 | DOI | MR | Zbl
[11] Leonov G. A., “Ob ustoichivosti fazovykh sistem”, Sibirskii matem. zhurn., 15:1 (1974), 49–60 | MR | Zbl
[12] Prasolov V. V., Zadachi i teoremy lineinoi algebry, Nauka, M., 1996 | Zbl