THE DISCRETE HYPERCHAOTIC DOUBLE SCROLL

被引：12
|
作者：
Elhadj, Zeraoulia [1 ]
Sprott, J. C. [2 ]
机构：
[1] Univ Tebessa, Dept Math, Tebessa 12000, Algeria
[2] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2009年 / 19卷 / 03期
关键词：
Piecewise linear map; border collision bifurcation; discrete hyperchaotic double scroll; CHUAS CIRCUIT; MAP; SYSTEMS;
D O I：
10.1142/S0218127409023433
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we present and analyze a new piecewise linear map of the plane capable of generating chaotic attractors with one and two scrolls. Due to the shape of the attractor and its hyperchaoticity, we call it "the discrete hyperchaotic double scroll." It has the same nonlinearity as used in the well-known Chua circuit. A rigorous proof of the hyperchaoticity of this attractor is given and numerically justified.
引用
收藏
页码：1023 / 1027
页数：5
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