BASIN BIFURCATIONS OF 2-DIMENSIONAL NONINVERTIBLE MAPS - FRACTALIZATION OF BASINS

被引：91

作者：

MIRA, C

FOURNIERPRUNARET, D

GARDINI, L

KAWAKAMI, H

CATHALA, JC

机构：

[1] UNIV MACERATA,IST ECON & FINANSA,MACERATA,ITALY

[2] UNIV URBINO,I-61029 URBINO,ITALY

[3] UNIV TOKUSHIMA,DEPT ELECT ENGN,TOKUSHIMA 770,JAPAN

[4] UNIV PROVENCE,DEPT AUTOMAT,F-13013 MARSEILLE,FRANCE

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1994年 / 4卷 / 02期

关键词：

D O I：

10.1142/S0218127494000241

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Properties of the basins of noninvertible maps of a plane are studied using the method of critical curves. Different kinds of basin bifurcation, some of them leading to basin boundary fractalization are described. More particularly the paper considers the simplest class of maps that of a phase plane which is made up of two regions, one with two preimages, the other with no preimage.

引用

页码：343 / 381

页数：39

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