@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://www.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://www.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://www.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://www.numdam.org/articles/10.1016/j.anihpc.2008.02.001/
[1] maps having hyperbolic periodic points, Fund. Math. 169 (2001) 1-49. | EuDML | MR | Zbl
, , ,[2] Necessary conditions for stability of diffeomorphisms, Trans. Amer. Math. Soc. 158 (1971) 301-308. | MR | Zbl
,[3] Stable Mappings and Their Singularities, Graduate Texts in Mathematics, vol. 14, Springer, New York, 1973. | MR | Zbl
, ,[4] Differential Topology, Springer-Verlag, New York, 1976. | MR | Zbl
,[5] Real Perturbations of complex polynomials, Bull. Braz. Math. Soc. (N.S.) 38 (1) (2007) 129-155. | MR | Zbl
, ,[6] A proof of the stability conjecture, Publ. Math. Inst. Hautes Études Sci. 66 (1987) 161-210, (in English). | EuDML | Numdam | MR | Zbl
,[7] On the dynamics of rational maps, Ann. Sci. École Norm. Sup. (4) 16 (2) (1983) 193-217. | EuDML | Numdam | MR | Zbl
, , ,[8] Dynamics in One Complex Variable, Annals of Mathematics Studies, vol. 160, Princeton Univ. Press, 2006. | MR | Zbl
,[9] On Ω-stability and structural stability of endomorphisms satisfying Axiom A, Studia Math. 60 (1976) 61-77. | EuDML | MR | Zbl
,[10] Structural stability of diffeomorphisms, J. Differential Equations 22 (1976) 28-73. | MR | Zbl
,[11] Endomorphisms of compact differentiable manifolds, Amer. J. Math. 91 (1969) 175-199. | MR | Zbl
,[12] Rational Iteration, de Gruyter Studies in Mathematics, vol. 16, 1993. | MR | Zbl
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