Topological properties of asymptotically stable sets

DOI10.1016/j.na.2010.04.043zbMath1196.37031OpenAlexW1996610046MaRDI QIDQ984078

Emmanuel Moulay, Sanjay P. Bhat

Publication date: 13 July 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.04.043

zbMATH Keywords

domain of attractionretractasymptotically stable set

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25)

Related Items (4)

On Wilson's theorem about domains of attraction and tubular neighborhoods ⋮ On the topological structure of attraction basins for differential inclusions ⋮ Conley index condition for asymptotic stability ⋮ Attractors of dynamical systems in locally compact spaces

Cites Work

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• Retracts in equiconnected spaces
• Local semi-dynamical systems
• Existence of generalized equilibria
• Stability theory of dynamical systems.
• A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon

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