DESIGN OF HYPERCHAOTIC FLOWS

被引：67
|
作者：
BAIER, G
SAHLE, S
机构：
[1] Institute for Chemical Plant Physiology, University of Tübingen
来源：
PHYSICAL REVIEW E | 1995年 / 51卷 / 04期
关键词：
D O I：
10.1103/PhysRevE.51.R2712
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
We present a design strategy in terms of ordinary differential equations which creates chaotic attractors with an increasing number of positive Lyapunov exponents as the (finite) dimension of the system is increased. First, we introduce the most simple abstract equation containing only one nonlinearity. Second, we suggest a piecewise linear version of the abstract equation. Third, we propose a set of chemical reactions and demonstrate that the corresponding rate equations produce hyperchaotic behavior equivalent to the abstract system. © 1995 The American Physical Society.
引用
收藏
页码：R2712 / R2714
页数：3
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