A note on the connectedness locus of the families of polynomials Pc(z)=z n - cz n-j

DOI10.1590/S0001-37652012005000004zbMath1272.37026MaRDI QIDQ4914589

Carlos L. Arteaga, Alexandre Miranda Alves

Publication date: 15 April 2013

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

zbMATH Keywords

Julia setprincipal componentshyperbolic componentsconnectedness locus

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Polynomials and rational functions of one complex variable (30C10)

Related Items (2)

Dynamical convergence of polynomials to products of power maps and the exponential ⋮ Geometric limits of Julia  sets and connectedness locus of the family of polynomials P_c(z) = zⁿ + cz^k

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