ON THE DYNAMICS OF A NEW SIMPLE 2-D RATIONAL DISCRETE MAPPING

被引：16

作者：

Elhadj, Zeraoulia ^{[1
]}

Sprott, J. C. ^{[2
]}

机构：

[1] Univ Tebessa, Dept Math, Tebessa 12002, Algeria

[2] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 01期

关键词：

Rational chaotic map; quasi-periodic route to chaos; coexisting attractors; CHAOTIC SYSTEM; FRACTION;

D O I：

10.1142/S0218127411028325

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the analysis of a new simple rational map of the plane. Its dynamics are described in some detail, along with some other dynamical phenomena. In particular, the map under consideration is the first simple rational map whose fraction has no vanishing denominator that gives chaotic attractors via a quasi-periodic route to chaos.

引用

页码：155 / 160

页数：6

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