Structural stability of equivariant vector fields on two-manifolds

Transactions of the American Mathematical Society

Volumn 283, Issue 2, 1984, Pages 635-643

  Reis, G L Dos ^a  

^a FEDERAL UNIVERSITY OF GOIÁS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84967728378     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-1984-0737889-8     Document Type: Article

References (22)

1. E. Bierstone, General position of equivariant maps, Trans. Amer. Math. Soc. 234 (1977), 447-466.
2. G. E. Bredon, Introduction to compact transformation groups, Academic Press, New York, 1972.
3. M. J. Field, Equivariant dynamical systems, Bull. Amer. Math. Soc. 76(1970), 1313-1318.
4. M. J. Field, Transversality in G-manifolds, Trans. Amer. Math. Soc. 231 (1977), 429-450.
5. M. J. Field, Equivariant dynamical systems, Trans. Amer. Math. Soc. 259(1980), 185-205.
6. C. T. Gutierrez, Structural stability for flows on the torus with a cross-cap, Trans. Amer. Math. Soc. 241 (1978), 311-320. '
7. P. Hartman, On local homeomorphisms of Euclidean spaces, Bol. Soc. Mat. Mexicana (2) 5 (1960), 220-241.
8. M. W. Hirsch, C. C. Pugh and M. Shub, Invariant manifolds, Lecture Notes in Math., vol. 583, Springer-Verlag, New York, 1977.
9. N. G. Markley, The Poincare-Bendixon theorem for the Klein bottle, Trans. Amer. Math. Soc. 135 (1969), 159-165.
10. W. de Melo, Moduli of stability of two-dimensional diffeomorphism, Topology 19 (1980), 9-21.
11. J. Palis, On Morse-Smale dynamical systems, Topology 8 (1969), 365-404.
12. J. Palis, A differentiable invariant of topological conjugacies and moduli of stability, Asterisque, vol. 49/50, 1977.’
13. J. Palis and W. de Melo, Geometric theory’ of dynamical systems, Springer-Verlag, Berlin and New
14. J. Palis, G. L. dos Reis and G. Tavares, Modulus of stability of SO(2)-equivariant vector fields on S3, S2 X preprint, 1982.
15. J. Palis and S. Smale, Structural stability theorems, Global Analysis, Proc. Sympos. Pure Math., vol. 14, Amer. Math. Soc., Providence, R. I., 1970, pp. 223-231.
16. J. Palis and F. Takens, Topological equivalence of normally hyperbolic dynamical systems, Topology 16(1977), 335-345.
17. M. M. Peixoto, Structural stability on two-dimensional manifolds, Topology 1 (1962), 101-120.
18. C. C. Pugh, The closing lemma, Amer. J. Math. 85 (1967), 956-1009.
19. C. C. Pugh and M. Shub, Axiom A actions, Invent. Math. 29 (1975), 7-35.
20. G. L. dos Reis, Structural stability of equivariant vector fields, An. Acad. Brasil, Cienc. 50 (1978), 273-276.
21. S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747-817.
22. J. Sotomayor, Structural stability and bifurcation theory Dynamical Systems (M. Peixoto, ed.), Academic Press, New York, 1973, pp. 549-560.