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On the uniqueness problem for a central invariant manifold.

On the uniqueness problem for a central invariant manifold.

Authors :
Kulikov, A. N.
Source :
Theoretical & Mathematical Physics. Jul2024, Vol. 220 Issue 1, p1110-1121. 12p.
Publication Year :
2024

Abstract

We consider a system of autonomous nonlinear ordinary differential equations for which the existence conditions for an invariant manifold are satisfied in the case where this manifold is central. It is well known that the theorem on the existence of a central invariant manifold cannot be supplemented with the statement of its uniqueness. We obtain sufficient conditions that guarantee the uniqueness of the central invariant manifold. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00405779
Volume :
220
Issue :
1
Database :
Academic Search Index
Journal :
Theoretical & Mathematical Physics
Publication Type :
Academic Journal
Accession number :
178656060
Full Text :
https://doi.org/10.1134/S0040577924070055