Structurally stable perturbations of polynomials in the Riemann sphere
J. Iglesias, A. Portela, A. Rovella (2008)
Annales de l'I.H.P. Analyse non linéaire
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J. Iglesias, A. Portela, A. Rovella (2008)
Annales de l'I.H.P. Analyse non linéaire
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Milnor, John (2004)
Experimental Mathematics
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Feliks Przytycki (1996)
Fundamenta Mathematicae
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Let be the set of all rational maps of degree d ≥ 2 on the Riemann sphere, expanding on their Julia set. We prove that if and all, or all but one, critical points (or values) are in the basin of immediate attraction to an attracting fixed point then there exists a polynomial in the component H(f) of containing f. If all critical points are in the basin of immediate attraction to an attracting fixed point or a parabolic fixed point then f restricted to the Julia set is conjugate...
Adam Epstein, Thomas Sharland (2012)
Annales de la faculté des sciences de Toulouse Mathématiques
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We give a Thurston classification of those bicritical rational maps which have two period two superattracting cycles. We also show that all such maps are constructed by the mating of two unicritical degree polynomials.
de Melo, W. (1998)
Documenta Mathematica
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Simin Li, Weixiao Shen (2006)
Fundamenta Mathematicae
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It is proved that a smooth unimodal interval map with critical order 2 + ε has no wild attractor if ε >0 is small.
Lisa R. Goldberg, John Milnor (1993)
Annales scientifiques de l'École Normale Supérieure
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Lei Tan (2002)
Annales scientifiques de l'École Normale Supérieure
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