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.
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页码：253 / 259
页数：7
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