The parameter spaces of the cubic polynomials

被引：6
|
作者：
Liaw, SS [1 ]
机构：
[1] Natl Chung Hsing Univ, Dept Phys, Taichung 40227, Taiwan
来源：
FRACTALS-AN INTERDISCIPLINARY JOURNAL ON THE COMPLEX GEOMETRY OF NATURE | 1998年 / 6卷 / 02期
关键词：
D O I：
10.1142/S0218348X98000223
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 Mandelbrot-like sets. The regularities of these projections with respect to parameters are explained using elementary analysis.
引用
收藏
页码：181 / 189
页数：9
相关论文
共 50 条
  • [21] On the Structure of Cubic and Quartic Polynomials
    Haramaty, Elad
    Shpilka, Amir
    STOC 2010: PROCEEDINGS OF THE 2010 ACM SYMPOSIUM ON THEORY OF COMPUTING, 2010, : 331 - 340
  • [22] Cubic polynomials and quadratic forms
    Iwaniec, Henryk
    Munshi, Ritabrata
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2010, 81 : 45 - 64
  • [23] ON CUBIC TRANSFORMATIONS OF ORTHOGONAL POLYNOMIALS
    BARRUCAND, P
    DICKINSON, D
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 17 (04) : 810 - +
  • [24] Cubic polynomials on SO(3)
    Camarinha, M
    Abrunheiro, L
    EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS, 2005, : 1036 - 1038
  • [25] Splitting Fields of Cubic Polynomials
    Nakhash, Achava
    AMERICAN MATHEMATICAL MONTHLY, 2011, 118 (04): : 374 - 374
  • [26] Flokki planes and cubic polynomials
    Kantor, William M.
    Penttila, Tim
    NOTE DI MATEMATICA, 2009, 29 : 211 - 221
  • [27] ON THE FAMILY OF CUBIC PARABOLIC POLYNOMIALS
    Alves, Alexandre
    Salarinoghabi, Mostafa
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (04): : 2051 - 2064
  • [28] Cubic polynomials with a parabolic point
    Roesch, P.
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2010, 30 : 1843 - 1867
  • [29] ORTHOGONAL POLYNOMIALS AND CUBIC TRANSFORMATIONS
    MARCELLAN, F
    SANSIGRE, G
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1993, 49 (1-3) : 161 - 168
  • [30] Topological noetherianity for cubic polynomials
    Derksen, Harm
    Eggermont, Rob H.
    Snowden, Andrew
    ALGEBRA & NUMBER THEORY, 2017, 11 (09) : 2197 - 2212
12345