THE PARAMETER SPACES OF THE CUBIC POLYNOMIALS

Authors
LIAW SS
Citation
Ss. Liaw, THE PARAMETER SPACES OF THE CUBIC POLYNOMIALS, Fractals, 6(2), 1998, pp. 181-189
Citations number
11
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Fractals → ACNP
ISSN journal
0218348X
Volume
6
Issue
2
Year of publication
1998
Pages
181 - 189
Database
ISI
SICI code
0218-348X(1998)6:2<181:TPSOTC>2.0.ZU;2-Q
Abstract
We plot the two-dimensional projections of the parameter spaces of the cubic mappings. The projection of the parameter points that have non- totally disconnected Julia sets can be seen as a combination of Mandel brot-like sets. The regularities of these projections with respect to parameters are explained using elementary analysis.