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Dynamics of a System of Two Equations with a Large Delay.
- Source :
-
Doklady Mathematics . Oct2023, Vol. 108 Issue 2, p369-373. 5p. - Publication Year :
- 2023
-
Abstract
- The local dynamics of systems of two equations with delay is considered. The main assumption is that the delay parameter is large enough. Critical cases in the problem of the stability of the equilibrium state are identified, and it is shown that they are of infinite dimension. Methods of infinite-dimensional normalization are used and further developed. The main result is the construction of special nonlinear boundary value problems that play the role of normal forms. Their nonlocal dynamics determine the behavior of all solutions of the original system in a neighborhood of the equilibrium state. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10645624
- Volume :
- 108
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Doklady Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 175720161
- Full Text :
- https://doi.org/10.1134/S1064562423701259