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

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

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

@article{AIF_1972__22_4_265_0,
     author = {McCann, Roger C.},
     title = {On absolute stability},
     journal = {Annales de l'Institut Fourier},
     pages = {265--269},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {22},
     number = {4},
     year = {1972},
     doi = {10.5802/aif.440},
     zbl = {0252.34050},
     mrnumber = {48 #11687},
     language = {en},
     url = {https://aif.centre-mersenne.org/articles/10.5802/aif.440/}
}
TY  - JOUR
AU  - McCann, Roger C.
TI  - On absolute stability
JO  - Annales de l'Institut Fourier
PY  - 1972
SP  - 265
EP  - 269
VL  - 22
IS  - 4
PB  - Institut Fourier
PP  - Grenoble
UR  - https://aif.centre-mersenne.org/articles/10.5802/aif.440/
DO  - 10.5802/aif.440
LA  - en
ID  - AIF_1972__22_4_265_0
ER  - 
%0 Journal Article
%A McCann, Roger C.
%T On absolute stability
%J Annales de l'Institut Fourier
%D 1972
%P 265-269
%V 22
%N 4
%I Institut Fourier
%C Grenoble
%U https://aif.centre-mersenne.org/articles/10.5802/aif.440/
%R 10.5802/aif.440
%G en
%F AIF_1972__22_4_265_0
McCann, Roger C. On absolute stability. Annales de l'Institut Fourier, Volume 22 (1972) no. 4, pp. 265-269. doi : 10.5802/aif.440. https://aif.centre-mersenne.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

Cited by Sources: