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

共 50 条

[41] THEORY OF INVARIANT MANIFOLDS FOR INFINITE-DIMENSIONAL NONAUTONOMOUS DYNAMICAL SYSTEMS AND APPLICATIONS
Wang, Rong-nian
Wu, Jianhong
Zhao, Jia-cheng
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023, 55 (05) : 5386 - 5431
[42] Invariant manifolds for difference equations with generalized trichotomies
Bento, Antonio J. G.
CARPATHIAN JOURNAL OF MATHEMATICS, 2022, 38 (03) : 819 - 837
[43] Riemann invariant manifolds for the multidimensional Euler equations
Lappas, T
Leonard, A
Dimotakis, PE
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1999, 20 (04): : 1481 - 1512
[44] Slow Manifolds and Invariant Sets of the Primitive Equations
Temam, R.
Wirosoetisno, D.
JOURNAL OF THE ATMOSPHERIC SCIENCES, 2011, 68 (03) : 675 - 682
[45] Invariant manifolds and limiting equations for a hyperbolic problem
Pereira, AL
de Oliveira, LAF
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS, 2000, 7 (04): : 503 - 524
[46] Involutive Distributions, Invariant Manifolds, and Defining Equations
O. V. Kaptsov
Siberian Mathematical Journal, 2002, 43 : 428 - 438
[47] STOCHASTIC INVARIANT MANIFOLDS FOR STOCHASTIC DIFFERENTIAL EQUATIONS
Lv, Wenxuan
Shen, Jun
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2024,
[48] INVARIANT MANIFOLDS OF SEMILINEAR SOBOLEV TYPE EQUATIONS
Kitaeva, O. G.
BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 2022, 15 (01): : 101 - 111
[49] INVARIANT DIFFERENTIAL-EQUATIONS ON HOMOGENEOUS MANIFOLDS
HELGASON, S
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 83 (05) : 751 - 774
[50] ON DESCRIPTION OF GENERALIZED INVARIANT MANIFOLDS FOR NONLINEAR EQUATIONS
Khakimova, A. R.
UFA MATHEMATICAL JOURNAL, 2018, 10 (03): : 106 - 116

← 1 2 3 4 5 →