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The limit sets of uniformly asymptotically Zhukovskij stable orbits
- Source :
-
Computers & Mathematics with Applications . Mar2004, Vol. 47 Issue 6/7, p859-862. 4p. - Publication Year :
- 2004
-
Abstract
- In this article, we prove that the omega limit set of a uniformly asymptotically Zhukovskij stable orbit of a differential system in <f>Rn</f> is a closed orbit or a fixed point and also it is a uniform attractor. Further, if the system is defined on a compact subset of <f>Rn</f> and each orbit is uniformly asymptotically Zhukovskij stable, then the set of fixed points and closed orbits is finite. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 47
- Issue :
- 6/7
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 13955065
- Full Text :
- https://doi.org/10.1016/S0898-1221(04)90070-3