A DOUBLE LOGISTIC MAP

被引：58

作者：

GARDINI, L

ABRAHAM, R

RECORD, RJ

FOURNIERPRUNARET, D

机构：

[1] UNIV CALIF SANTA CRUZ,DEPT MATH,SANTA CRUZ,CA 95064

[2] GESNLA,INST NATL SCI APPL,F-31077 TOULOUSE,FRANCE

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1994年 / 4卷 / 01期

关键词：

D O I：

10.1142/S0218127494000125

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Several endomorphisms of a plane have been constructed by coupling two logistic maps. Here we study the dynamics occurring in one of them, a twisted version due to J. Dorband, which (like the other models) is rich in global bifurcations. By use of critical curves, absorbing and invariant areas are determined, inside which global bifurcations of the attracting sets (fixed points, closed invariant curves, cycles or chaotic attractors) take place. The basins of attraction of the absorbing areas are determined together with their bifurcations.

引用

页码：145 / 176

页数：32

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