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


Model. Anal. Inform. Sist., 2014, Volume 21, Number 1, Pages 94–114 (Mi mais363)  

This article is cited in 1 scientific paper (total in 1 paper)

Asymptotics of a Steady-State Condition of Finite-Difference Approximation of a Logistic Equation with Delay and Small Diffusion

S. A. Kaschenkoab, V. E. Frolovb

a P. G. Demidov Yaroslavl State University, Sovetskaya str., 14, Yaroslavl, 150000, Russia
b National Research Nuclear University MEPhI, Kashirskoye shosse, 31, Moscow, 115409, Russia

Abstract: We study the dynamics of finite-difference approximation on spatial variables of a logistic equation with delay and diffusion. It is assumed that the diffusion coefficient is small and the Malthusian coefficient is large. The question of the existence and asymptotic behavior of attractors was studied with special asymptotic methods.
It is shown that there is a rich array of different types of attractors in the phase space: leading centers, spiral waves, etc. The main asymptotic characteristics of all solutions from the corresponding attractors are adduced in this work. Typical graphics of wave fronts motion of different structures are represented in the article.

Keywords: logistic equation, attractor, guiding center, helicon waves, asymptotics, stability.

Full text: PDF file (627 kB)
References: PDF file   HTML file
UDC: 517.9
Received: 05.01.2014

Citation: S. A. Kaschenko, V. E. Frolov, “Asymptotics of a Steady-State Condition of Finite-Difference Approximation of a Logistic Equation with Delay and Small Diffusion”, Model. Anal. Inform. Sist., 21:1 (2014), 94–114

Citation in format AMSBIB
\Bibitem{KasFro14}
\by S.~A.~Kaschenko, V.~E.~Frolov
\paper Asymptotics of a Steady-State Condition of Finite-Difference Approximation of a Logistic Equation with Delay and Small Diffusion
\jour Model. Anal. Inform. Sist.
\yr 2014
\vol 21
\issue 1
\pages 94--114
\mathnet{http://mi.mathnet.ru/mais363}


Linking options:
  • http://mi.mathnet.ru/eng/mais363
  • http://mi.mathnet.ru/eng/mais/v21/i1/p94

    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. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “A self-symmetric cycle in a system of two diffusely connected Hutchinson's equations”, Sb. Math., 210:2 (2019), 184–233  mathnet  crossref  crossref  adsnasa  isi  elib
  • Моделирование и анализ информационных систем
    Number of views:
    This page:199
    Full text:77
    References:23

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020