A new simple 2-D piecewise linear map

被引：9
|
作者：
Elhadj, Zeraoulia [1 ]
Sprott, Julien Clinton [1 ]
机构：
[1] Univ Wisconsin, Dept Phys, Madison, WI 53706 USA
来源：
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2010年 / 23卷 / 02期
关键词：
Border collision bifurcation; new chaotic attractor; piecewise linear map; MULTISCROLL CHAOTIC ATTRACTORS; BIFURCATIONS; DYNAMICS; SYSTEMS; SERIES;
D O I：
10.1007/s11424-010-7184-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new simple piecewise linear map of the plane is presented and analyzed, then a detailed study of its dynamical behaviour is described, along with some other dynamical phenomena, especially fixed points and their stability, observation of a new chaotic attractors obtained via border collision bifurcation. An important result about coexisting chaotic attractors is also numerically studied and discussed.
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页码：379 / 389
页数：11
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