A multiresolution algorithm to approximate the Hutchinson measure for IFS and GIFS

被引：8
作者：
Cunha, Rudnei D. [1 ,2 ]
Oliveira, Elismar R. [2 ]
Strobin, Filip [3 ]
机构：
[1] Inst Matemat & Estat UFRGS, Av Bento Goncalves 9500, BR-91500900 Porto Alegre, RS, Brazil
[2] Univ Fed Rio Grande do Sul, Porto Alegre, RS, Brazil
[3] Lodz Univ Technol, Inst Math, Wolczaska 215, PL-90924 Lodz, Poland
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2020年 / 91卷
关键词：
Iterated function system (IFS); Generalized iterated function system (GIFS); Markov operator; Invariant measures; Hutchinson measures; Attractor; Discrete deterministic algorithm; Discretization; ITERATED FUNCTION SYSTEMS; INVARIANT-MEASURES; ERGODIC THEOREM;
D O I：
10.1016/j.cnsns.2020.105423
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a discrete version of the Hutchinson-Barnsley theory providing algorithms to approximate the Hutchinson measure for iterated function systems (IFS) and generalized iterated function systems (GIFS), complementing the discrete version of the deterministic algorithm considered in our previous work. (C) 2020 Elsevier B.V. All rights reserved.
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页数：22
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