Algebraic approach for the exploration of the onset of chaos in discrete nonlinear dynamical systems

被引：6
|
作者：
Ragulskis, Minvydas [1 ]
Navickas, Zenonas [2 ]
Palivonaite, Rita [1 ]
Landauskas, Mantas [1 ]
机构：
[1] Kaunas Univ Technol, Res Grp Math & Numer Anal Dynam Syst, LT-51368 Kaunas, Lithuania
[2] Kaunas Univ Technol, Dept Appl Math, LT-51368 Kaunas, Lithuania
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 11期
关键词：
Hankel matrix; Rank of a sequence; Algebraic decomposition; Onset of chaos; NOISE;
D O I：
10.1016/j.cnsns.2012.03.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An algebraic approach based on the rank of a sequence is proposed for the exploration of the onset of chaos in discrete nonlinear dynamical systems. The rank of the partial solution is identified and a special technique based on Hankel matrices is used to decompose the solution into algebraic primitives comprising roots of the modified characteristic equation. The distribution of roots describes the dynamical complexity of a solution and is used to explore properties of the nonlinear system and the onset of chaos. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：4304 / 4315
页数：12
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