ANALYTIC INVARIANT MANIFOLDS FOR NONAUTONOMOUS EQUATIONS

被引：0
|
作者：
Barreira, Luis [1 ]
Valls, Claudia [1 ]
机构：
[1] Univ Lisbon, Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2015年 / 46卷 / 01期
关键词：
Analytic invariant manifolds; nonuniform hyperbolicity; HOLOMORPHIC DIFFEOMORPHISMS; POLYNOMIAL DIFFEOMORPHISMS; STABLE MANIFOLDS; CURRENTS; C-2;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct real analytic stable invariant manifolds for sufficiently small perturbations of a linear equation v' = A(t)v admitting a nonuniform exponential dichotomy. As a byproduct of our approach we obtain an exponential control not only of the trajectories on the invariant manifolds, but also of all their derivatives.
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页码：29 / 43
页数：15
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