Journalartikel

Jahr der Veröffentlichung: 2000

Seiten: 462-470

Zeitschrift: Journal of the London Mathematical Society

Bandnummer: 61

ISSN: 0024-6107

eISSN: 1469-7750

DOI Link: https://doi.org/10.1112/S0024610799008509

Verlag: Wiley

Abstract: 
For a sequence (c(n)) of complex numbers, the quadratic polynomials f(cn)(z) := z(2) + c(n) and the sequence (F-n) of iterates F-n := f(cn)o...of(c1) are considered. The Fatou set F-(cN) is by definition the set of all z is an element of C such that (F-n) is normal in some neighbourhood of z, while the complement of F-(cn) is called the Julia set J((cn)). The aim of this article is to study the connectedness and stability of the Julia set J((cn)) provided that the sequence (c(n)) is bounded.

Harvard-Zitierstil: Brück, R. (2000) Connectedness and stability of Julia sets of the composition of polynomials of the form z²+c_n, Journal of the London Mathematical Society, 61, pp. 462-470. https://doi.org/10.1112/S0024610799008509

APA-Zitierstil: Brück, R. (2000). Connectedness and stability of Julia sets of the composition of polynomials of the form z²+c_n. Journal of the London Mathematical Society. 61, 462-470. https://doi.org/10.1112/S0024610799008509