摘要
本文基于混沌动力学与分行几何学理论分析,通过研究机械动态系统的Lypunov指数、关联维数、Kol mogorov熵以及它们对系统吸引子特征的描述,结合递次振幅图方法,提供了一种证明系统状态混沌性的方法。并以变速箱中齿轮运行状态为例,通过对其动态信号混沌特征量的研究,证实了该系统混沌性,进而得出对系统故障进行进一步混沌预测的可行性。
Based on the analysis of theories of chaos and fractals,and by means of reseraching into the Lypunov exponent,relating dimension,Kolmogorov entropy,and the description of the attractor of mechanical kenetics system with them,and combining the method of the gradual swing figure,we give a method to prove system's characteristic of chaos.Taking the running state of gears for example,we prove that it's a chaos system and can be forecasted with the chaos theory.
出处
《运筹与管理》
CSCD
2003年第4期76-80,共5页
Operations Research and Management Science
基金
全国高校博士点科研基金(20020358063)
