Unbounded trajectories of dynamical systems

被引：1

作者：

Gascon, FG

Pelayo, A

Peralta-Salas, D ^{[1
]}

机构：

[1] Univ Complutense, Fac Ciencias Fis, Dept Fis Teor 2, E-28040 Madrid, Spain

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 03期

关键词：

divergence-free vector fields; unbounded orbits; topological techniques; foliations;

D O I：

10.1016/S0893-9659(04)90060-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that when a divergence-free vector field without zeros X is defined on a two-dimensional, noncompact manifold, which is not a cylinder, then X must possess an unbounded orbit. (C) 2004 Elsevier Ltd. All rights reserved.

引用

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页码：253 / 259

页数：7

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