Abstract
Bounded-phase dynamics, also called phase-trapping or frequency-locking without phase-locking, is a synchronization regime found when a phase-locked state bifurcates via a Hopf bifurcation to self-sustained phase and amplitude oscillations. After the instability, the coupled oscillators are not phase-locked anymore, yet they maintain frequency-locking and synchronization [1]. This phenomenon is rather universal, and has been demonstrated for instance in semiconductor and solid-state lasers, in hydrodynamics and in nanomechanical resonators. Recently, the relevance of these underdamped and self-sustained phase oscillations has also started to be investigated for the synchronization of quantum systems [2].
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