Modelirovanie i Analiz Informatsionnykh Sistem
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Model. Anal. Inform. Sist.:
Year:
Volume:
Issue:
Page:
Find




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

Modelirovanie i Analiz Informatsionnykh Sistem, 2012, Volume 19, Number 3, Pages 32–61 (Mi mais228)  
This article is cited in 16 scientific papers (total in 16 papers)

Asymptotics of Solutions of the Generalized Hutchinson's Equation

S. A. Kaschenko

P. G. Demidov Yaroslavl State University
Full-text PDF (565 kB) Citations (16)
References:
PDF
HTML
Abstract: We discuss the dynamics of the Hutchinson's equation and its generalizations. An estimate of the global stability region of a positive steady state is obtained. The main results refer to existence, stability and asymptotics of a slow oscillating solution. New asymptotic methods are applied to a problem of dynamical properties of ODE system describing Belousov–Zhabotinsky reaction.
Keywords: delay differential equation, Hutchinson's equation, large parameter, asymptotic, periodic solution.
Received: 20.02.2012
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. A. Kaschenko, “Asymptotics of Solutions of the Generalized Hutchinson's Equation”, Model. Anal. Inform. Sist., 19:3 (2012), 32–61
Citation in format AMSBIB
\Bibitem{Kas12}
\by S.~A.~Kaschenko
\paper Asymptotics of Solutions of the Generalized Hutchinson's Equation
\jour Model. Anal. Inform. Sist.
\yr 2012
\vol 19
\issue 3
\pages 32--61
\mathnet{http://mi.mathnet.ru/mais228}
Linking options:
  • https://www.mathnet.ru/eng/mais228
  • https://www.mathnet.ru/eng/mais/v19/i3/p32
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Моделирование и анализ информационных систем
    Statistics & downloads:
    Abstract page:1212
    Full-text PDF :605
    References:76
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024