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特征模态函数缺失和等比例缩小对系统非线性特征影响

Wei Huang,Yongfeng Yang

Journal of Dynamics and Control（2018）

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Abstract
针对经验模态分解得到的特征模态函数,研究了其缺失和等比例缩小时Duffing系统和Lorenz系统的最大Lyapunov指数.结果表明:低阶特征模态函数对吸引子破坏较小,最大Lyapunov指数较大;当缺失、比例缩小低阶特征模态函数时,系统的最大Lyapunov指数有较为明显的减小;特征模态函数缩小比例越大,最大Lyapunov指数和原信号相比减小越多.
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Key words
empirical mode decomposition,nonlinear,largest Lyapunov exponent,intrinsic mode functions
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