Lyapunov stability on fiber bundles

被引：6

作者：

Braga Barros, Carlos J. ^{[1
]}

Souza, Josiney A. ^{[1
]}

Rocha, Victor H. L. ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2015年 / 46卷 / 02期

关键词：

Lyapunov stability; semigroup actions; generalized flows; fiber bundles; homogeneous spaces; SEMIGROUP ACTIONS; VECTOR-BUNDLES; FLAG BUNDLES; LINEAR FLOWS; SETS; SEMIFLOWS; SPACES;

D O I：

10.1007/s00574-015-0090-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we develop a theory of Lyapunov stability for generalized flows on principal and associated bundles. We present a study of Lyapunov stability and attraction in the total space of a principal bundle by means of the action of the structure group.We also relate limit sets, prolongations, prolongational limit sets, attracting sets and stable sets in the total space of an associated bundle to the corresponding concepts in the fibers.

引用

页码：181 / 204

页数：24

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