用一类特定的双耦合Duffing振子系统检测强色噪声背景中的周期信号

通过分析耦合参数作用、系统所呈现大尺度周期相态的复杂性以及与系统在无噪声条件下状态的比较，得出耦合振子系统的动力学行为比同类单振子系统的复杂，周期相态更稳定、抗噪能力更强.用构造的一类含特定恢复力项双中强度耦合Duffing振子系统检测色噪声背景中的谐波、方波信号，信噪比分别达到-111.0和-108.45dB. 关键词： 特定双耦合 Duffing振子系统 色噪声 周期信号 信噪比

Applying a special kind of two coupled Duffing oscillator system to detect periodic signals under the background of strong colored noise

The paper shows that the coupled oscillator systems are more complicated in the dynamic behaviors, more stable in periodic phases and stronger in the anti-noise capacity than the same kind of single oscillator systems by analyzing the function of coupled parameters, the complexity of the large-scale periodic phase states of the system and the comparison with the states of the system under the condition of no noise. Moreover, the harmonious wave and square wave signals are detected under the background of colored noise, applying a kind of constructed middle-intensity two coupled Duffing oscillator system including a special resilience force item. The signal-to-noise ratio reaches to -111.0 and -108.45dB, respectively.