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Author Aleshin, S. V. ♦ Glyzin, S. D. ♦ Kaschenko, S. A.
Source Directory of Open Access Journals (DOAJ)
Content type Text
Publisher Yaroslavl State University
File Format HTM / HTML
Date Created 2016-11-15
Copyright Year ©2015
Language English ♦ Russian
Subject Domain (in LCC) T58.5-58.64
Subject Keyword Ginzburg–Landau equation ♦ Bifurcation ♦ Attractor ♦ Fisher–Kolmogorov equation ♦ Information technology ♦ Industrial engineering ♦ Technology ♦ Management engineering
Abstract We considered the problem of density wave propagation in a logistic equation with delay and diffusion (Fisher–Kolmogorov equation with delay). It was constructed a Ginzburg–Landau equation in order to study the qualitative behavior of the solution near the equilibrium state. The numerical analysis of wave propagation shows that for a sufficiently small delay this equation has a solution similar to the solution of a classical Fisher–Kolmogorov equation. The delay increasing leads to existence of the oscillatory component in spatial distribution of solutions. A further increase of delay leads to the destruction of the traveling wave. That is expressed in the fact that undamped spatio-temporal fluctuations exist in a neighborhood of the initial perturbation. These fluctuations are close to the solution of the corresponding boundary value problem with periodic boundary conditions. Finally, when the delay is sufficiently large we observe intensive spatio-temporal fluctuations in the whole area of wave propagation.
ISSN 23135417
Age Range 18 to 22 years ♦ above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 2015-01-01
e-ISSN 18181015
Journal Modelirovanie i Analiz Informacionnyh Sistem
Volume Number 22
Issue Number 2
Page Count 18
Starting Page 304
Ending Page 321


Source: Directory of Open Access Journals (DOAJ)