Short chaotic strings and their behaviour in the scaling region

被引：5
|
作者：
Groote, Stefan [1 ,2 ]
Veermaee, Hardi [1 ]
机构：
[1] Teoreetilise Fuusika Inst, EE-51010 Tartu, Estonia
[2] Johannes Gutenberg Univ Mainz, Inst Phys, D-55099 Mainz, Germany
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 05期
关键词：
COUPLED MAP LATTICES; LARGEST LYAPUNOV EXPONENT; DENSITIES; SPECTRUM; FIELD; LAW;
D O I：
10.1016/j.chaos.2008.09.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Coupled map lattices are a paradigm of higher-dimensional dynamical systems exhibiting spatio-temporal chaos. A special case of non-hyperbolic maps are one-dimensional map lattices of coupled Chebyshev maps with periodic boundary conditions, called chaotic strings. In this short note we show that the fine structure of the self energy of this chaotic string in the scaling region (i.e. for very small coupling) is retained if we reduce the length of the string to three lattice points. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2354 / 2359
页数：6
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