A sufficient condition for -stability of vector fields on open manifolds
Compositio Mathematica (1988)
- Volume: 65, Issue: 2, page 171-176
- ISSN: 0010-437X
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topKotus, Janina, and Klok, Fopke. "A sufficient condition for $\Omega $-stability of vector fields on open manifolds." Compositio Mathematica 65.2 (1988): 171-176. <http://eudml.org/doc/89887>.
@article{Kotus1988,
author = {Kotus, Janina, Klok, Fopke},
journal = {Compositio Mathematica},
keywords = {Kupka-Smale properties; R-stable; periodic points; Auslander's recurrent points; R-stability},
language = {eng},
number = {2},
pages = {171-176},
publisher = {Kluwer Academic Publishers},
title = {A sufficient condition for $\Omega $-stability of vector fields on open manifolds},
url = {http://eudml.org/doc/89887},
volume = {65},
year = {1988},
}
TY - JOUR
AU - Kotus, Janina
AU - Klok, Fopke
TI - A sufficient condition for $\Omega $-stability of vector fields on open manifolds
JO - Compositio Mathematica
PY - 1988
PB - Kluwer Academic Publishers
VL - 65
IS - 2
SP - 171
EP - 176
LA - eng
KW - Kupka-Smale properties; R-stable; periodic points; Auslander's recurrent points; R-stability
UR - http://eudml.org/doc/89887
ER -
References
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- 3 J. Guckenheimer, Absolutely Ω-stable diffeomorphisms, Topology11 (1972) 195-197. Zbl0246.58013
- 4 F. Klok, Ω-stability of plane vector fields, Bol. Soc. Bras. Mat.12(1) (1981) 21-28. Zbl0574.58018
- 5 J. Kotus, M. Krych and Z. Nitecki, Global structural stability of flows on open surfaces, Mem. Amer. Math. Soc.37(261) (1982). Zbl0497.58015MR653093
- 6 J. Kotus, Ω = Per for generic vector fields on some open surfaces, Demonstratio MathematicaXVIII(1) (1985) 325-340. Zbl0624.58015
- 7 J. Palis and W. de Melo, Introducao aos sistemas dinamicos, Projéto Euclides, Ed. Edgard Blucher (1978). Zbl0507.58001
- 8 F. Takens and W. White, Vector fields with no wandering points, Amer. J. Math.98 (1976) 415-425. Zbl0339.58009MR418163
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