混合振荡器的锁相
Phase-locking of hybrid oscillators
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中文总结 AI 辅助
本文结合实验、理论与模拟，以接触电荷电泳（CCEP）振荡器为对象，研究混合振荡器的锁相机制，引入离散时间框架阐明其锁相起源，提供了适用于更广泛耦合混合振荡器的锁相判据。
中文摘要 AI 辅助
具有平滑动力学的振荡器的同步和锁相行为可由Kuramoto连续相位模型很好地描述。然而，这些模型无法无缝适用于混合振荡器——其平滑动力学过程中会发生离散事件。因此，混合振荡器的同步和锁相机制仍未得到充分研究。本文结合实验、理论与模拟，研究并阐明了成对混合振荡器的相干运动。以接触电荷电泳（CCEP）振荡器为实验对象，我们发现尽管振荡器相互排斥，仍可出现同相振荡。我们通过引入显式考虑离散事件的离散时间框架来解释该行为，并阐明了锁相的起源。该模型强调了惯性以及振荡周期内相互作用强度的衰减在促进CCEP振荡器锁相中的作用。更广泛地说，该模型提供了适用于更广泛耦合混合振荡器的锁相判据，揭示了多种机制可导致其相干性。
英文摘要
The synchronization and phase-locking behavior of oscillators with smooth dynamics is well captured by continuous phase-models à la Kuramoto. However, these models do not apply seamlessly for hybrid oscillators, where discrete events occur along their otherwise smooth dynamics. Consequently, the synchronization and phase-locking mechanisms of hybrid oscillators remain overlooked. Here, we combine experiments, theory, and simulations, to investigate and rationalize the coherent motion of pairs of hybrid oscillator. Using contact-charge electrophoretic (CCEP) oscillators as an experimental realization, we show that in-phase oscillations can occur, despite oscillators repelling each other. We rationalize this behavior by introducing a discrete-time framework that explicitly accounts for discrete events and elucidates the origin of phase-locking. Our model highlights the roles played by inertia and the decay of interaction strength along the oscillation cycle in promoting phase-locking of CCEP oscillators. More generally, it provides a phase-locking criterion that holds for a broader class of coupled hybrid oscillators, and reveals that various mechanisms can lead to their coherence.
