Abstract: Considering the effect of initial value on the output state of chaotic oscillator based weak signal detection system, this paper has done an in-depth analysis on the global behavior nearby bifurcation point with generalized cell mapping method. According to the simulated numerical analysis results, a method for detection system without false positive rate is proposed. Response step is defined as the index to measure the detection speed, with which the speed of detection system responding weak signal has been analyzed. The conclusion provides support for implementation of chaotic oscillator detection system.

Key words: chaotic oscillator, weak signal detection, constructive method, response speed

摘要： 针对混沌振子微弱信号检测系统中初值影响检测系统输出状态的问题，利用广义胞映射方法对检测系统分岔点附近的全局性态进行分析，根据所获得的数值分析结果，给出一种构成无误判性检测系统的方法，并进一步定义了响应步长作为衡量检测速度的指标，利用该指标对无误判性检测系统响应微弱信号的速度进行了分析，所得的结论可为混沌振子检测系统的工程实施提供有效的理论支撑。

关键词: 混沌振子, 微弱信号检测, 构成方法, 响应速度