Transient chaos measurements using finite-time Lyapunov exponents

被引：12
|
作者：
Stefanski, K. [1 ]
Buszko, K. [1 ]
Piecyk, K. [2 ]
机构：
[1] Nicolaus Copernicus Univ, Dept Theoret Fdn Biomed Sci & Med Informat, Coll Med Bydgoszcz, PL-85094 Bydgoszcz, Poland
[2] Kielce Univ Technol, Fac Management & Comp Modelling, PL-27314 Kielce, Poland
来源：
CHAOS | 2010年 / 20卷 / 03期
关键词：
chaos; Lyapunov methods; CRITICAL STATES; ATTRACTORS; WINDOWS;
D O I：
10.1063/1.3483877
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The notion of finite-time Lyapunov exponent averaged over initial conditions is used for characterizing transient chaos observed in one-dimensional maps. A model of its dependence on time is verified by comparing theoretically predicted values with those obtained numerically. Finally, the same model is used for estimating duration of transient chaos (rambling time) for some maps from the logistic family. (c) 2010 American Institute of Physics. [doi: 10.1063/1.3483877]
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页数：13
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