Journal article

Connectedness and stability of Julia sets of the composition of polynomials of the form z2+cn


Authors listBrück, R

Publication year2000

Pages462-470

JournalJournal of the London Mathematical Society

Volume number61

ISSN0024-6107

eISSN1469-7750

DOI Linkhttps://doi.org/10.1112/S0024610799008509

PublisherWiley


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 styleBrück, 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 styleBrück, 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



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