驱动输入白噪声对Duffing振子运动影响分析

强噪声背景下混沌弱信号检测是利用弱信号的周期扰动使系统运动状态发生改变实现的，研究了数值解算时计算步长和驱动输入白噪声对弱信号检测中Duffing振子运动特征的影响，重点研究了对Duffing振子混沌临界态和大尺度周期态的影响，结果表明采用数值解算的步长不同系统运动状态不相同，与统计意义下任何零均值噪声都不会改变系统原有运行轨迹不同，不同功率的驱动输入白噪声会导致系统状态改变，分析了产生原因。

ANALYSIS OF DRIVE INPUT WHITE NOISE EFFECT ON MOVEMENT OF A DUFFING OSCILLATOR

Chaotic weak signals with strong back ground noise can be detected through changing of the movement state of the corresponding system disturbed periodically by known weak signals. The effects of time step of numerical computing and drive input white noise on movement features of a Duffing oscillator in weak signal detection, especially, their effects on its chaotic critical state and big scale periodic state, are studied. The results show that different time steps cause different movement states of the Duffing oscillator; Contrarily, any noise with zero mean value can not statistically change the original trajectory of the oscillator; drive input white noise with different powers may lead to the state change of the oscillator. The reasons causing those are analyzed at last.