中文摘要：

噪声是影响Duffing振子相态跃迁的重要因素,其结果导致Duffing检测可靠性降低,从而影响其在实际工程中的应用。为此,提出了一种含强非线性阻尼项的广义Van der Pol振子相态跃迁模型,从理论上证明了其用于弱信号检测的可行性。与经典Duffing振子相比,新模型具有更强的状态稳定性和噪声免疫性。仿真实验表明,基于新模型的检测方法可以有效降低噪声对相态跃迁的影响,改善弱信号检测的可靠性。

英文摘要：

Recent studies suggest that noise could cause the occurrence of Duffing oscillator＇s phase-state transition, which is one of the most important reasons for the low system detection reliability and has been restricting the application of chaos theory in practical engineering. And hence one novel detection model containing nonlinear damping term is proposed in the paper based on generalized Van der Pol oscillator. And then it is proved feasible for weak signal detection by theoretical analyses. Compared to classical chaotic oscillators, the new model has stronger state robustness and noise immunity with equal complexity. Finally, Simulation results show that the application of the new model can reduce the impacts of noise on the phase-state transition and improve the detection reliability of weak signals.