Geodesic
Lyapunov Stability and Attraction Under Equivariant Maps
Canadian journal of mathematics, Tome 67 (2015) no. 6, pp. 1247-1269

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DOI

Let $M$ and $N$ be admissible Hausdorff topological spaces endowed with admissible families of open coverings. Assume that $\mathcal{S}$ is a semigroup acting on both $M$ and $N$ . In this paper we study the behavior of limit sets, prolongations, prolongational limit sets, attracting sets, attractors, and Lyapunov stable sets (all concepts defined for the action of the semigroup $\mathcal{S}$ ) under equivariant maps and semiconjugations from $M$ to $N$ .
DOI : 10.4153/CJM-2015-007-7
Mots-clés : 37B25, 37C75, 34C27, 34D05, Lyapunov stability, semigroup actions, generalized flows, equivariant maps, admissible topological spaces 
Barros, Carlos Braga; Rocha, Victor; Souza, Josiney. Lyapunov Stability and Attraction Under Equivariant Maps. Canadian journal of mathematics, Tome 67 (2015) no. 6, pp. 1247-1269. doi: 10.4153/CJM-2015-007-7
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     author = {Barros, Carlos Braga and Rocha, Victor and Souza, Josiney},
     title = {Lyapunov {Stability} and {Attraction} {Under} {Equivariant} {Maps}},
     journal = {Canadian journal of mathematics},
     pages = {1247--1269},
     year = {2015},
     volume = {67},
     number = {6},
     doi = {10.4153/CJM-2015-007-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2015-007-7/}
}
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