Journal article
Authors list: Brück, R
Publication year: 2000
Pages: 462-470
Journal: Journal of the London Mathematical Society
Volume number: 61
ISSN: 0024-6107
eISSN: 1469-7750
DOI Link: https://doi.org/10.1112/S0024610799008509
Publisher: 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.
Citation Styles
Harvard Citation style: Brück, R. (2000) Connectedness and stability of Julia sets of the composition of polynomials of the form z2+cn, Journal of the London Mathematical Society, 61, pp. 462-470. https://doi.org/10.1112/S0024610799008509
APA Citation style: Brück, R. (2000). Connectedness and stability of Julia sets of the composition of polynomials of the form z2+cn. Journal of the London Mathematical Society. 61, 462-470. https://doi.org/10.1112/S0024610799008509
Keywords
RANDOM ITERATIONS