Spatial properties of high-mode bifurcations of distributed logistic equations

The local dynamics of the solution of spatially distributed logistic equations are studied. It is shown that critical cases in the problem of equilibrium stability have infinite dimension. New bifurcation phenomena that only arise in the case of a two-dimensional spatial variable are revealed.

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Bibliographic Details
Published in:Automatic control and computer sciences 2013-12, Vol.47 (7), p.516-525
Main Author: Kashchenko, I. S.
Format: Article
Language:English
Subjects:
Computer Science
Control Structures and Microprogramming
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Summary:The local dynamics of the solution of spatially distributed logistic equations are studied. It is shown that critical cases in the problem of equilibrium stability have infinite dimension. New bifurcation phenomena that only arise in the case of a two-dimensional spatial variable are revealed.
ISSN:0146-4116
1558-108X
DOI:10.3103/S0146411613070080