Adaptation to the edge of chaos in the self-adjusting logistic map

被引：34
|
作者：
Melby, P [1 ]
Kaidel, J [1 ]
Weber, N [1 ]
Hübler, A [1 ]
机构：
[1] Univ Illinois, Dept Phys, Ctr Complex Syst Res, Urbana, IL 61801 USA
来源：
PHYSICAL REVIEW LETTERS | 2000年 / 84卷 / 26期
关键词：
D O I：
10.1103/PhysRevLett.84.5991
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Self-adjusting, or adaptive, systems have gathered much recent interest. We present a model for self-adjusting systems which treats the control parameters of the system as slowly varying, rather than constant. The dynamics of these parameters is governed by a low-pass filtered feedback from the dynamical variables of the system. We apply this model to the logistic map and examine the behavior of the control parameter. We find that the parameter leaves the chaotic regime. We observe a high probability of finding the parameter at the boundary between periodicity and chaos. We therefore find that this system exhibits adaptation to the edge of chaos.
引用
收藏
页码：5991 / 5993
页数：3
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