# A sufficient condition for $\Omega $-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

top- 1 N.P. Bhatia and G.P. Szegö, Dynamical systems: stability theory and applications, Lecture Notes in Math.35 (1967). Zbl0155.42201MR219843
- 2 C. Camacho, M. Krych, R. Mané and Z. Nitecki, An extension of Peixoto's structural stability theorem to open surfaces with finite genus, Lecture Notes in Math.1007 (1983) pp. 60-87. Zbl0537.58031
- 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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