JULIA SETS AND MANDELBROT-LIKE SETS ASSOCIATED WITH HIGHER-ORDER SCHRODER RATIONAL ITERATION FUNCTIONS - A COMPUTER-ASSISTED STUDY

被引:36
作者
VRSCAY, ER
机构
关键词
D O I
10.2307/2008220
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
引用
收藏
页码:151 / 169
页数:19
相关论文
共 35 条
[1]  
AHLFORS L, 1979, COMPLEX ANAL, P219
[2]  
[Anonymous], 1980, ANN NY ACAD SCI
[3]   ITERATED NETWORKS AND THE SPECTRA OF RENORMALIZABLE ELECTROMECHANICAL SYSTEMS [J].
BARNSLEY, MF ;
MORLEY, TD ;
VRSCAY, ER .
JOURNAL OF STATISTICAL PHYSICS, 1985, 40 (1-2) :39-67
[4]   CONDENSED JULIA SETS, WITH AN APPLICATION TO A FRACTAL LATTICE MODEL HAMILTONIAN [J].
BARNSLEY, MF ;
GERONIMO, JS ;
HARRINGTON, AN .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 288 (02) :537-561
[5]   ITERATED FUNCTION SYSTEMS AND THE GLOBAL CONSTRUCTION OF FRACTALS [J].
BARNSLEY, MF ;
DEMKO, S .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1985, 399 (1817) :243-275
[6]   COMPLEX ANALYTIC DYNAMICS ON THE RIEMANN SPHERE [J].
BLANCHARD, P .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 11 (01) :85-141
[7]  
Burckel R.B., 1979, INTRO CLASSICAL COMP
[8]   ON THE ITERATION OF A RATIONAL-FUNCTION - COMPUTER EXPERIMENTS WITH NEWTON METHOD [J].
CURRY, JH ;
GARNETT, L ;
SULLIVAN, D .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 91 (02) :267-277
[9]   SOLUTIONS TO THE SCHRODINGER-EQUATION ON SOME FRACTAL LATTICES [J].
DOMANY, E ;
ALEXANDER, S ;
BENSIMON, D ;
KADANOFF, LP .
PHYSICAL REVIEW B, 1983, 28 (06) :3110-3123
[10]  
DOUADY A, 1982, CR ACAD SCI I-MATH, V294, P123