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We study the noise effects in a driven system of globally coupled oscillators, with particular attention to the interplay between driving and noise. The self-consistency equation for the order parameter, which measures the collective…

Statistical Mechanics · Physics 2009-10-31 H. Hong , M. Y. Choi , K. Park , B. -G. Yoon , K. -S. Soh

Synchronization is a phenomenon where interacting particles lock their motion and display non-trivial dynamics. Despite intense efforts studying synchronization in systems without clear classical limits, no comprehensive theory has been…

Quantum Physics · Physics 2022-03-23 Berislav Buca , Cameron Booker , Dieter Jaksch

We explore, experimentally and theoretically, the emergence of coherent coupled oscillations and synchronization between a pair of non-Hermitian, stochastic, opto-mechanical oscillators, levitated in vacuum. Each oscillator consists of a…

Spontaneous locking of the phase of a coherent phonon source to an external reference is demonstrated in an optomechanical oscillator based on a self-triggered free-carrier/temperature limit cycle. Synchronization is observed when the pump…

Synchronization, the emergence of spontaneous order in coupled systems, is of fundamental importance in both physical and biological systems. We demonstrate the synchronization of two dissimilar silicon nitride micromechanical oscillators,…

We study the phenomenon of synchronization in pairs of doubly clamped, mechanically coupled silicon micro-oscillators. A continuous-wave laser beam is used to drive the micro-beams into limit cycle oscillations and to detect the…

Pattern Formation and Solitons · Physics 2022-12-27 Aditya Bhaskar , Mark Walth , Richard H. Rand , Alan T. Zehnder

Synchronization is one of the paradigmatic phenomena in the study of complex systems. It has been explored theoretically and experimentally mostly to understand natural phenomena, but also in view of technological applications. Although…

We study the synchronization phenomena in a system of globally coupled oscillators with time delay in the coupling. The self-consistency equations for the order parameter are derived, which depend explicitly on the amount of delay. Analysis…

Statistical Mechanics · Physics 2009-10-31 M. Y. Choi , H. J. Kim , D. Kim , H. Hong

The dynamics of an oscillator driven by both low- and high- frequency external signals is studied. It is shown that both two- and three-frequency resonances arise due to a nonlinear interaction of these harmonic forces. Conditions which…

Chaotic Dynamics · Physics 2017-03-30 Anastasiia Y. Nimets , Klaus Schuenemann , Dmytro M. Vavriv

Synchronizing a few-level quantum system is of fundamental importance to understanding synchronization in deep quantum regime. Whether a two-level system, the smallest quantum system, can be synchronized has been theoretically debated for…

Quantum Physics · Physics 2023-11-09 Liyun Zhang , Zhao Wang , Yucheng Wang , Junhua Zhang , Zhigang Wu , Jianwen Jie , Yao Lu

With growing interest in quantum technologies, possibilities of synchronizing quantum systems has garnered significant recent attention. In experiments with dilute ensemble of laser cooled spin-1 $^{87}{Rb}$ atoms, we observe phase…

Nonautonomous driving of an oscillator has been shown to enlarge the Arnold tongue in parameter space, but little is known about the analogous effect for a network of oscillators. To test the hypothesis that deterministic nonautonomous…

Adaptation and Self-Organizing Systems · Physics 2019-01-16 Maxime Lucas , Duccio Fanelli , Aneta Stefanovska

Experimental exploration of synchronization in scalable oscillator micro systems has unfolded a deeper understanding of networks, collective phenomena, and signal processing. Cavity optomechanical devices have played an important role in…

We investigate collective nonlinear dynamics in a blue-detuned optomechanical cavity that is mechanically coupled to an undriven mechanical resonator. By controlling the strength of the driving field, we engineer a mechanical gain that…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 P. Djorwé , Y. Pennec , B. Djafari-Rouhani

Nonlinear oscillators can mutually synchronize when they are driven by common external impulses. Two important scenarios are (i) synchronization resulting from phase locking of each oscillator to regular periodic impulses and (ii)…

Adaptation and Self-Organizing Systems · Physics 2015-05-19 Shigefumi Hata , Takeaki Shimokawa , Kensuke Arai , Hiroya Nakao

Self-oscillations underlie many natural phenomena such as heartbeat, ocean waves, and the pulsation of variable stars. From pendulum clocks to the behavior of animal groups, self-oscillation is one of the keys to the understanding of…

We study the motion of two atoms trapped at distant positions in the field of a driven standing wave high-Q optical resonator. Even without any direct atom-atom interaction the atoms are coupled through their position dependent influence on…

Quantum Physics · Physics 2007-05-23 J. K. Asbóth , P. Domokos , H. Ritsch

Synchronization is a universal phenomenon found in many non-equilibrium systems. Much recent interest in this area has overlapped with the study of complex networks, where a major focus is determining how a system's connectivity patterns…

Adaptation and Self-Organizing Systems · Physics 2015-08-19 Jason Hindes , Christopher R. Myers

In this study we demonstrate a self-oscillating acoustic meta-atom functioning as an amplifying transistor, where a steady external flow serves as a control signal to switch between reflective (off-state) and transmissive (on-state)…

Applied Physics · Physics 2025-08-25 Alexander K. Stoychev , Xinxin Guo , Ulrich Kuhl , Nicolas Noiray

We show that a suspension of non-interacting deformable particles subjected to an oscillatory shear flow leads to development of nematic order that arises from the phenomenon of phase synchronization. The synchronized state corresponds to a…

Soft Condensed Matter · Physics 2025-07-10 Ioannis Hadjifrangiskou , Sumesh P. Thampi , Rahil N. Valani