no. 6
Structurally stable perturbations of polynomials in the Riemann sphere
Annales de l'I.H.P. Analyse non linéaire, Tome 25 (2008) no. 6, pp. 1209-1220. 
@article{AIHPC_2008__25_6_1209_0,
     author = {Iglesias, J. and Portela, A. and Rovella, A.},
     title = {Structurally stable perturbations of polynomials in the {Riemann} sphere},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1209--1220},
     publisher = {Elsevier},
     volume = {25},
     number = {6},
     year = {2008},
     doi = {10.1016/j.anihpc.2008.02.001},
     mrnumber = {2466327},
     zbl = {1153.37329},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1016/j.anihpc.2008.02.001/}
}
TY  - JOUR
AU  - Iglesias, J.
AU  - Portela, A.
AU  - Rovella, A.
TI  - Structurally stable perturbations of polynomials in the Riemann sphere
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2008
SP  - 1209
EP  - 1220
VL  - 25
IS  - 6
PB  - Elsevier
UR  - http://archive.numdam.org/articles/10.1016/j.anihpc.2008.02.001/
DO  - 10.1016/j.anihpc.2008.02.001
LA  - en
ID  - AIHPC_2008__25_6_1209_0
ER  - 
%0 Journal Article
%A Iglesias, J.
%A Portela, A.
%A Rovella, A.
%T Structurally stable perturbations of polynomials in the Riemann sphere
%J Annales de l'I.H.P. Analyse non linéaire
%D 2008
%P 1209-1220
%V 25
%N 6
%I Elsevier
%U http://archive.numdam.org/articles/10.1016/j.anihpc.2008.02.001/
%R 10.1016/j.anihpc.2008.02.001
%G en
%F AIHPC_2008__25_6_1209_0
Iglesias, J.; Portela, A.; Rovella, A. Structurally stable perturbations of polynomials in the Riemann sphere. Annales de l'I.H.P. Analyse non linéaire, Tome 25 (2008) no. 6, pp. 1209-1220. doi : 10.1016/j.anihpc.2008.02.001. http://archive.numdam.org/articles/10.1016/j.anihpc.2008.02.001/

[1] Aoki N., Moriyasu K., Sumi N., C 1 maps having hyperbolic periodic points, Fund. Math. 169 (2001) 1-49. | EuDML | MR | Zbl

[2] Franks J., Necessary conditions for stability of diffeomorphisms, Trans. Amer. Math. Soc. 158 (1971) 301-308. | MR | Zbl

[3] Golubitsky M., Guillemin V., Stable Mappings and Their Singularities, Graduate Texts in Mathematics, vol. 14, Springer, New York, 1973. | MR | Zbl

[4] Hirsch M., Differential Topology, Springer-Verlag, New York, 1976. | MR | Zbl

[5] Iglesias J., Portela A., Real Perturbations of complex polynomials, Bull. Braz. Math. Soc. (N.S.) 38 (1) (2007) 129-155. | MR | Zbl

[6] Mañé R., A proof of the C 1 stability conjecture, Publ. Math. Inst. Hautes Études Sci. 66 (1987) 161-210, (in English). | EuDML | Numdam | MR | Zbl

[7] Mañé R., Sad P., Sullivan D., On the dynamics of rational maps, Ann. Sci. École Norm. Sup. (4) 16 (2) (1983) 193-217. | EuDML | Numdam | MR | Zbl

[8] Milnor J., Dynamics in One Complex Variable, Annals of Mathematics Studies, vol. 160, Princeton Univ. Press, 2006. | MR | Zbl

[9] Przytycki F., On Ω-stability and structural stability of endomorphisms satisfying Axiom A, Studia Math. 60 (1976) 61-77. | EuDML | MR | Zbl

[10] Robinson C., Structural stability of C 1 diffeomorphisms, J. Differential Equations 22 (1976) 28-73. | MR | Zbl

[11] Shub M., Endomorphisms of compact differentiable manifolds, Amer. J. Math. 91 (1969) 175-199. | MR | Zbl

[12] Steinmetz N., Rational Iteration, de Gruyter Studies in Mathematics, vol. 16, 1993. | MR | Zbl

Cité par Sources :