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Rotating periodic solutions in complete degeneracy.
- Source :
-
Applied Mathematics Letters . Jun2022, Vol. 128, pN.PAG-N.PAG. 1p. - Publication Year :
- 2022
-
Abstract
- In the present paper, we are concerned with the existence of Q 0 -rotating periodic solutions on a class of perturbed systems in R 2 n. This type of rotating periodic solutions has the form of X (t + T) = Q 0 X (t) , ∀ t ∈ R with T > 0 and Q 0 an orthogonal matrix. The systems under consideration are linear but completely degenerate, in another word, completely resonant. In general it is quite difficult to the situation. We establish a persistence result about Q 0 -rotating periodic solutions undergoing small perturbations. Our transversality condition is based on the topological degree, but easily verifiable in applications. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TOPOLOGICAL degree
Subjects
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 128
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 155208065
- Full Text :
- https://doi.org/10.1016/j.aml.2022.107945