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

Abstract

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.