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On Dynamical Stability in General Dynamical Systems

✍ Scribed by Desheng Li

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 160 KB
Volume: 263
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7620

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✦ Synopsis

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 attractors. We also give a characterization of asymptotic stability of general dynamical systems via uniformly unbounded Lyapunov functions.

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