PARAMETRIC ITERATIVE FUNCTION SYSTEM for the CONTINUUM GROWTH: CANTOR SET CASE

Sebastián Gutiérrez-Hernández; Juan Bory-Reyes

doi:10.1142/S0218348X19500737

PARAMETRIC ITERATIVE FUNCTION SYSTEM for the CONTINUUM GROWTH: CANTOR SET CASE

Sebastián Gutiérrez-Hernández, Juan Bory-Reyes

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper, we present examples of one-parametric iterated function systems converging to the standard middle-third Cantor set. The main goal is the study of the continuous growth of the attractor of the corresponding parametrization.

Original language	English
Article number	1950073
Journal	Fractals
Volume	27
Issue number	5
DOIs	https://doi.org/10.1142/S0218348X19500737
State	Published - 1 Aug 2019

Keywords

Cantor Set
Continuous Growth
Parametric Iterated Function Systems
Rate of Change

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10.1142/S0218348X19500737

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title = "PARAMETRIC ITERATIVE FUNCTION SYSTEM for the CONTINUUM GROWTH: CANTOR SET CASE",

abstract = "In this paper, we present examples of one-parametric iterated function systems converging to the standard middle-third Cantor set. The main goal is the study of the continuous growth of the attractor of the corresponding parametrization.",

keywords = "Cantor Set, Continuous Growth, Parametric Iterated Function Systems, Rate of Change",

author = "Sebasti{\'a}n Guti{\'e}rrez-Hern{\'a}ndez and Juan Bory-Reyes",

note = "Publisher Copyright: {\textcopyright} 2019 World Scientific Publishing Company.",

year = "2019",

month = aug,

day = "1",

doi = "10.1142/S0218348X19500737",

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T1 - PARAMETRIC ITERATIVE FUNCTION SYSTEM for the CONTINUUM GROWTH

T2 - CANTOR SET CASE

AU - Gutiérrez-Hernández, Sebastián

AU - Bory-Reyes, Juan

PY - 2019/8/1

Y1 - 2019/8/1

N2 - In this paper, we present examples of one-parametric iterated function systems converging to the standard middle-third Cantor set. The main goal is the study of the continuous growth of the attractor of the corresponding parametrization.

AB - In this paper, we present examples of one-parametric iterated function systems converging to the standard middle-third Cantor set. The main goal is the study of the continuous growth of the attractor of the corresponding parametrization.

KW - Cantor Set

KW - Continuous Growth

KW - Parametric Iterated Function Systems

KW - Rate of Change

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U2 - 10.1142/S0218348X19500737

DO - 10.1142/S0218348X19500737

M3 - Artículo

SN - 0218-348X

VL - 27

JO - Fractals

JF - Fractals

IS - 5

M1 - 1950073

ER -

PARAMETRIC ITERATIVE FUNCTION SYSTEM for the CONTINUUM GROWTH: CANTOR SET CASE

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Keywords

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