Title of article
On h, k.Manifolds with Asymptotic Phase*
Author/Authors
Julio L´opez Fenner†، نويسنده , , Manuel Pinto، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 1997
Pages
20
From page
549
To page
568
Abstract
We introduce the notion of h, k.manifolds and give conditions under which the
property of being a manifold with asymptotic phase holds. These conditions allow
the construction of a transformation of the variational equation of a nonlinear
nonautonomous systems with h, k.dichotomies, into an almost decoupled quasilinear
system. The class of admissible h and k functions is also briefly analyzed.
Q 1997 Academic Press
Keywords
trichotomies , Invariant manifolds , asymptotic phase , asymptoticequivalence of solutions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
1997
Journal title
Journal of Mathematical Analysis and Applications
Record number
929850
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