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Weak insensitivity to initial conditions at the edge of chaos in the logistic map

被引：9
作者：
Coraddu, M [1 ]
Meloni, F
Mezzorani, G
Tonelli, R
机构：
[1] Univ Cagliari, Dipartimento Fis, Ist Nazl Fis Nucl, I-09042 Cagliari, Monserrato, Italy
[2] Univ Cagliari, INFM, SLACS Lab, I-09042 Monserrato, Italy
[3] Univ Cagliari, Dept Phys, I-09042 Monserrato, Italy
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2004年 / 340卷 / 1-3期
关键词：
nonextensive statistical mechanics; entropy; power law; logistic map; chaos;
D O I：
10.1016/j.physa.2004.04.012
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We extend existing studies of weakly sensitive points within the framework of Tsallis non-extensive thermodynamics to include weakly insensitive points at the edge of chaos. Analyzing tangent points of the logistic map we have verified that the generalized entropy with suitable entropic index q correctly describes the approach to the attractor. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：234 / 239
页数：6
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