摘要
在对动力学结构进行动力学特性分析时,首先对结构进行非线性检测,并判断该系统的非线性因素是否可以忽略非常重要。根据复杂度的物理意义和系统单一变量的时间序列隐含着整个系统运动规律的特性,本文提出系统变量的Lempel-Z iv复杂度与动力学结构的非线性程度有一定的关系,并通过计算系统变量的Lempel-Z iv复杂度对动力学结构的非线性进行检测。数值模拟结果表明,系统变量的Lempel-Z iv复杂度值的大小可以反映系统的非线性程度。
It is very crucial to make a nonlinear detecting of dynamical structure for dynamic analyzing.Based on the intrinsic meaning of the system variable complexity and a single variable time series includes the whole systematic character,this paper proposed that there is a relation between the Lempel-Ziv complexity and the nonlinear degree of the system.So we can make a nonlinear detecting with Lempel-Ziv complexity.At last,a numerical simulation result indicates that the systematic variable Lempel-Ziv complexity value can reflect the nonlinear degree of the system.
出处
《复杂系统与复杂性科学》
EI
CSCD
2005年第3期61-66,共6页
Complex Systems and Complexity Science
关键词
非线性检测
复杂度
时间序列
nonlinear detecting
complexity
time series
