RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor

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

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2012, Volume 12, Issue 2, Pages 3–12 (Mi vngu114)  
This article is cited in 5 scientific papers (total in 5 papers)

Geometric characteristics of cycles in some symmetric dynamical systems

A. A. Akinshina, V. P. Golubyatnikovbc

a Altai State Technical University, Barnaul, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
c Novosibirsk State University, Novosibirsk, Russia

Abstract: We show non-uniqueness of cycles in phase portraits of some odd-dimensional nonlinear dynamical systems considered as models of gene networks regulated by negative feedbacks. We find geometric and analytic characteristics of these cycles and construct a graph, which describes qualitative behavior of trajectories of these dynamical systems.

Keywords: gene networks models, nonlinear dynamical systems, stationary points, invariant domains, periodic trajectories, unstable cycles, graphs, numerical modeling.

Full text: PDF file (883 kB)
References: PDF file   HTML file

Document Type: Article
UDC: 514.745.82
Received: 03.02.2012

Citation: A. A. Akinshin, V. P. Golubyatnikov, “Geometric characteristics of cycles in some symmetric dynamical systems”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:2 (2012), 3–12

Citation in format AMSBIB
\Bibitem{AkiGol12}
\by A.~A.~Akinshin, V.~P.~Golubyatnikov
\paper Geometric characteristics of cycles in some symmetric dynamical systems
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2012
\vol 12
\issue 2
\pages 3--12
\mathnet{http://mi.mathnet.ru/vngu114}


Linking options:
  • http://mi.mathnet.ru/eng/vngu114
  • http://mi.mathnet.ru/eng/vngu/v12/i2/p3

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. A. Akinshin, V. P. Golubyatnikov, I. V. Golubyatnikov, “O nekotorykh mnogomernykh modelyakh funktsionirovaniya gennykh setei”, Sib. zhurn. industr. matem., 16:1 (2013), 3–9  mathnet  mathscinet
    2. A. A. Akinshin, “Bifurkatsiya Andronova–Khopfa dlya nekotorykh nelineinykh uravnenii s zapazdyvaniem”, Sib. zhurn. industr. matem., 16:3 (2013), 3–15  mathnet  mathscinet
    3. N. B. Ayupova, V. P. Golubyatnikov, “On two classes of nonlinear dynamical systems: The four-dimensional case”, Siberian Math. J., 56:2 (2015), 231–236  mathnet  crossref  mathscinet  isi  elib  elib
    4. M. V. Kazantsev, “O nekotorykh svoistvakh grafov domenov dinamicheskikh sistem”, Sib. zhurn. industr. matem., 18:4 (2015), 42–48  mathnet  crossref  mathscinet  elib
    5. V. P. Golubyatnikov, A. E. Kalenykh, “On structure of phase portraits of some nonlinear dynamical systems”, J. Math. Sci., 215:4 (2016), 475–483  mathnet  crossref
    		• Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
    Number of views:
    This page:170
    Full text:43
    References:22
    First page:3
     
    Contact us:
    		  Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2018