This paper is concerned with dynamical stability of general dynamical systems. We discuss invariance properties of some limit sets, investigate connections between various notions and definitions related to stability and attraction properties, and establish existence results for invariant uniform at
Stability of Skew Dynamical Systems
โ Scribed by Kenneth R. Meyer; Xiujun Zhang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 620 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0022-0396
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โฆ Synopsis
We study discrete skew product systems over an almost periodic system. We generalize the concepts of hyperbolic structure, shadowing, basic set, etc., in order to prove the natural generalization of Smale's 0-stability theorem for skew product systems. Some of the lemmas are extensions of classical results on almost periodic differential equations.
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