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Topological properties of asymptotically stable sets

✍ Scribed by Emmanuel Moulay; Sanjay P. Bhat


Book ID
108216584
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
251 KB
Volume
73
Category
Article
ISSN
0362-546X

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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