噪声与振动控制2011，Vol.31Issue(2)：7-11,5.DOI:10.3969/j.issn.1006-1355-2011.02.003
有界噪声激励下典型非线性系统响应的最大Lyapunov指数估计
Estimation on the Leading Lyapunov Exponent of the Response in a Typical Nonlinear System under the Bounded Noise Excitation
摘要
Abstract
In this paper, the influence of the bounded noise excitation on the dynamical behaviors in a typical nonlinear oscillatory system is discussed.By using the Monte-Carlo method and small data sets method, the results of the system’s noise responses and their corresponding leading Lyapunov exponents are presented when the Holmes-type Duffing oscillator is subjected to the bounded noise excitation.It is shown that the leading Lyapunov exponent can be employed to identify chaos when the system is oriented by the determinatc harmonic excitation, from which it can be deduced that the bounded noise excitation can induce or suppress chaos.However, it is difficult to identify chaos from the sample responses and the leading Lyapunov exponents when the system is excited by bounded noise excitation only.关键词
声学/有界噪声/相空间重构/小数据量法/最大Lyapunov指数/混沌Key words
acoustics / bounded noise excitation / phase space reconstruction / small data sets / Lyapunov exponent / chaos分类
数理科学引用本文复制引用
谢潮涌,雷华,甘春标..有界噪声激励下典型非线性系统响应的最大Lyapunov指数估计[J].噪声与振动控制,2011,31(2):7-11,5.基金项目
国家自然科学基金资助项目(10672140) （10672140）
