Trace identification and detection of toxic, flammable, explosive substances, pollen allergens, as well as biological viruses is crucial for public health and safety, chemic production, and scientific research, etc. A single trace is detectable via various nonlinear resonance phenomena, while quantitative detection of two traces is physically limited by the trace ratio even with localized oscillators. We have discovered that, in internal resonance systems, response amplitude of any coupled mode physically reflects multi-modal features. In case of multi-mode coupled duffing oscillators, peaks and jumps in response amplitudes show great potential in synchronous identification and successive detection for multiple traces. With tunable magnetically coupled duffing oscillators, multiple traces are both experimentally and theoretically demonstrated to be synchronously identified and successively detected with multiplied frequency shifts. Measurement ranges and manufacturing errors are adjustable or compensable respectively only through turning the coupling strength. This work not only opens a new avenue in applications of nonlinear resonators, but also provides a new metrological scheme for synchronous identification and successive detection of multiple traces.

有毒、易燃、易爆物质、花粉过敏原以及生物病毒的痕量识别和检测对于公共卫生和安全、化工生产和科学研究等至关重要。通过各种非线性共振现象可以检测到单个痕量，而定量即使使用局部振荡器，对两条迹线的检测也受到迹线比的物理限制。我们发现，在内部共振系统中，任何耦合模式的响应幅度在物理上都反映了多模式特征。在多模耦合达芬振荡器的情况下，响应幅度的峰值和跳跃在多道同步识别和连续检测中显示出巨大的潜力。使用可调磁耦合达芬振荡器，多条轨迹在实验和理论上都被证明可以通过倍频移同步识别和连续检测。测量范围和制造误差仅通过转动耦合强度即可分别调整或补偿。这项工作不仅为非线性谐振器的应用开辟了一条新途径，而且为多道同步识别和连续检测提供了一种新的计量方案。