耦合与驱动的相互作用：非线性延迟振荡器中的相干性
Interplay of coupling and forcing: Coherence in a nonlinear delayed oscillator
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中文总结 AI 辅助
本文研究耦合与外部驱动对非线性延迟振荡器的相互作用，发现二者协同产生耦合-驱动诱导相干性，该效应可与传输共振共存，且可通过频域和时域诊断识别其参数区域。
中文摘要 AI 辅助
耦合振荡器通常会受到两种不同的影响：一种是通过耦合从驱动子系统传输过来的内部输入，另一种是直接施加于响应的外部周期驱动。本文探讨这两种影响如何相互作用，以及它们的组合作用是否能组织响应动力学。研究表明，耦合与驱动可协同在参数空间产生局域化组织，此时响应同时呈现增强的稳态振幅和驱动频率下的谱集中度，该效应被称为耦合-驱动诱导相干性。在驱动趋近稳态的延迟区域，耦合充当有效偏置，移动响应工作点，提供类似共振的机制以帮助锚定相干带的起始。当驱动也受外部驱动时，耦合-驱动诱导相干性可与传输共振（通过耦合路径从驱动传递至响应的放大作用）共存。研究采用频域和时域诊断，识别由耦合-驱动诱导相干性、传输共振或两者共同作用主导的参数区域。
英文摘要
Coupled oscillators often experience two distinct influences: an internal input transmitted through coupling from a driver subsystem, and an external periodic forcing applied directly to the response. Here we ask how these two influences interact and whether their combined action can organize the response dynamics. We show that coupling and forcing can cooperate to produce a localized organization in parameter space, where the response displays simultaneously enhanced steady-state amplitudes and increased spectral concentration at the forcing frequency; we term this effect coupling-forcing induced coherence. In delay regimes where the driver approaches a steady state, the coupling acts as an effective bias that shifts the response operating point, providing a resonance-like mechanism that helps anchor the onset of the coherent band. When the driver is also externally forced, coupling-forcing induced coherence can coexist with transmitted resonance (amplification conveyed from the driver to the response through the coupling pathway). We use frequency- and time-domain diagnostics to identify parameter regions dominated by coupling-forcing induced coherence, by transmitted resonance, or by their combined action.
