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Uniformly asymptotically Zhukovskij stable orbits

✍ Scribed by Changming Ding; J.M. Soriano


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
250 KB
Volume
49
Category
Article
ISSN
0898-1221

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✦ Synopsis


This article deals with Zhukovskij stability of planar systems. We prove that if the omega limit set of a nonclosed orbit is a stable limit cycle, then, the orbit is uniformly asymptotically Zhukovskij stable. @ 2005 Elsevier Ltd. All rights reserved.


πŸ“œ SIMILAR VOLUMES


The limit sets of uniformly asymptotical
✍ Changming Ding πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 278 KB

In this article, we prove that the omega limit set of a uniformly asymptotically Zhukovskij stable orbit of a differential system in R n 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 R n and each orbit is uniformly asy