A Note on Linear Differential Equations with Periodic Coefficients Articles
Overview
published in
publication date
- October 2009
start page
- 3197
end page
- 3202
issue
- 7-8
volume
- 71
Digital Object Identifier (DOI)
International Standard Serial Number (ISSN)
- 0362-546X
Electronic International Standard Serial Number (EISSN)
- 1873-5215
abstract
- We consider linear homogeneous differential equations of the form x = A(t)x where A (t) is a square matrix of C1, real and T -periodic functions, with T > 0. We give several criteria on the matrix A(t) to prove the asymptotic stability of the trivial solution to equation x = A(t)x. These criteria allow us to show that any finite configuration of cycles in Rn can be realized as hyperbolic limit cycles of a polynomial vector field