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.

引用

页码：29 / 43

页数：15

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