Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




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

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 132, Pages 161–164 (Mi into189)  
Boundaries of stability domains for equilibrium points of differential equations with parameters

M. G. Yumagulova, L. S. Ibragimovab, I. Zh. Mustafinaa

a Bashkir State University, Ufa
b Bashkir State Agricultural University, Ufa
Full-text PDF (262 kB)
Abstract: We consider autonomous and periodic differential equations containing two scalar parameters and analyze the construction of boundaries of stability domains of equilibrium points for such equations in the plane of parameters. We indicate conditions under which a unique smooth boundary curve passes through a given point. We propose a scheme of approximate construction of this curve.
Keywords: autonomous system, periodic system, equilibrium point, stability, stability domain, parameter.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 230, Issue 5, Pages 818–821
DOI: https://doi.org/10.1007/s10958-018-3797-x
Bibliographic databases:
Document Type: Article
UDC: 517.925
MSC: 34D20
Language: Russian
Citation: M. G. Yumagulov, L. S. Ibragimova, I. Zh. Mustafina, “Boundaries of stability domains for equilibrium points of differential equations with parameters”, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132, VINITI, Moscow, 2017, 161–164; J. Math. Sci. (N. Y.), 230:5 (2018), 818–821
Citation in format AMSBIB
\Bibitem{YumIbrMus17}
\by M.~G.~Yumagulov, L.~S.~Ibragimova, I.~Zh.~Mustafina
\paper Boundaries of stability domains for equilibrium points of differential equations with parameters
\inbook Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 132
\pages 161--164
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into189}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801409}
\zmath{https://zbmath.org/?q=an:1393.34057}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 230
\issue 5
\pages 818--821
\crossref{https://doi.org/10.1007/s10958-018-3797-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044456496}
Linking options:
  • https://www.mathnet.ru/eng/into189
  • https://www.mathnet.ru/eng/into/v132/p161
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
    Statistics & downloads:
    Abstract page:137
    Full-text PDF :52
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024