Direct Dynamical Test for Deterministic Chaos.
会议日期：2004年
学科分类：07[理学] 08[工学] 070201[理学-理论物理] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学]
摘 要：We present a direct and dynamical method to distinguish low-dimensional deterministic chaos from noise. We define a series of time-dependent curves which are closely related to the largest Lyapunov exponent. For a chaotic time series, there exists an envelope to the time-dependent curves, while for a white noise or a noise with the same power spectrum as that of a chaotic time series, the envelope cannot be defined. When a noise is added to a chaotic time series, the envelope is eventually destroyed with the increasing of the amplitude of the noise.