Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. J. Pure and Appl. Math.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2010, Volume 10, Issue 1, Pages 18–28 (Mi vngu28)  
This article is cited in 4 scientific papers (total in 4 papers)

On Some Nonlinear Dynamical Systems Modeling Asymmetric Gene Networks. Part 2

V. P. Golubyatnikova, Yu. A. Gaidovb, V. A. Likhoshvayc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State Pedagogical University
c Institute of Cytology and Genetics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (269 kB) Citations (4)
References:
PDF
HTML
Abstract: We find conditions of existence of periodic trajectories for 3-dimensional nonlinear dynamical systems modeling gene networks regulated by negative feedbacks and by combinations of positive and negative feedbacks described by unimodal functions. For these dynamical systems, we obtain also sufficient conditions of existence of stable cycles and describe the topological indices of their stationary points.
Keywords: periodic trajectories, stable cycles, models of gene networks, positive and negative feedbacks.
Received: 06.01.2010
Document Type: Article
UDC: 514.745.82
Language: Russian
Citation: V. P. Golubyatnikov, Yu. A. Gaidov, V. A. Likhoshvay, “On Some Nonlinear Dynamical Systems Modeling Asymmetric Gene Networks. Part 2”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:1 (2010), 18–28
Citation in format AMSBIB
\Bibitem{GolGaiLik10}
\by V.~P.~Golubyatnikov, Yu.~A.~Gaidov, V.~A.~Likhoshvay
\paper On Some Nonlinear Dynamical Systems Modeling Asymmetric Gene Networks. Part~2
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2010
\vol 10
\issue 1
\pages 18--28
\mathnet{http://mi.mathnet.ru/vngu28}
Linking options:
  • https://www.mathnet.ru/eng/vngu28
  • https://www.mathnet.ru/eng/vngu/v10/i1/p18
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
    Statistics & downloads:
    Abstract page:276
    Full-text PDF :73
    References:48
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024