On absolute stability
Annales de l'Institut Fourier, Tome 22 (1972) no. 4, pp. 265-269.

On caractérise la stabilité absolue d’un ensemble compact par les puissances des systèmes fondamentaux de voisinages positifs invariants.

Absolute stability of a compact set is characterized by the cardinality of a fundamental system of positively invariant neighborhoods.

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     title = {On absolute stability},
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McCann, Roger C. On absolute stability. Annales de l'Institut Fourier, Tome 22 (1972) no. 4, pp. 265-269. doi : 10.5802/aif.440. http://archive.numdam.org/articles/10.5802/aif.440/

[1] J. Auslander, P. Seibert, Prolongations and stability in dynamical systems, Ann. Inst. Fourier, Grenoble, 14 (1964), 237-268. | Numdam | MR | Zbl

[2] O. Hajek, Dynamical Systems in the Plane, Academic Press, London, 1968. | MR | Zbl

[3] O. Hajek, Absolute stability of non-compact sets, J. Differential Equations 9 (1971), 496-508. | MR | Zbl

[4] K. Kuratowski, Topology Vol. I, Academic Press, London, 1966. | MR | Zbl

[5] R. Mccann, Another characterization of absolute stability, Ann. Inst. Fourier, Grenoble, 21,4 (1971), 175-177. | Numdam | MR | Zbl

[6] R. Mccann, A classification of centers, Pacific J. Math., 30 (1969), 733-746. | MR | Zbl

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