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We study the synchronization of dissipatively-coupled van der Pol oscillators in the quantum limit, when each oscillator is near its quantum ground state. Two quantum oscillators with different frequencies exhibit an entanglement tongue,…

Quantum Physics · Physics 2014-02-14 Tony E. Lee , Ching-Kit Chan , Shenshen Wang

In contrast to the well-known phenomenon of frequency stabilization in a synchronized noisy nonlinear oscillator, little is known about its amplitude stability. In this paper, we investigate experimentally and theoretically the amplitude…

Applied Physics · Physics 2022-05-18 Martial Defoort , Sébastien Hentz , Steven W. Shaw , Oriel Shoshani

Computing with networks of synchronous oscillators has attracted wide-spread attention as novel materials and device topologies have enabled realization of compact, scalable and low-power coupled oscillatory systems. Of particular interest…

Chaotic Dynamics · Physics 2015-06-22 Abhinav Parihar , Nikhil Shukla , Suman Datta , Arijit Raychowdhury

We propose a methodology to analyze synchronization in an ensemble of diffusively coupled multistable systems. First, we study how two bidirectionally coupled multistable oscillators synchronize and demonstrate the high complexity of the…

Chaotic Dynamics · Physics 2015-06-23 R. Sevilla-Escoboza , J. M. Buldú , A. N. Pisarchik , S. Boccaletti , R. Gutiérrez

After decades of study, there are only two known mechanisms to induce global synchronization in a population of oscillators: deterministic coupling and common forcing. The inclusion of independent random forcing in these models typically…

Adaptation and Self-Organizing Systems · Physics 2023-03-31 Jeremy Worsfold , Tim Rogers

In-phase synchronization is a special case of synchronous behavior when coupled oscillators have the same phases for any time moments. Such behavior appears naturally for nearly identical coupled limit-cycle oscillators when the coupling…

Adaptation and Self-Organizing Systems · Physics 2019-09-24 Viktor Novičenko , Irmantas Ratas

We introduce a prototype model for globally-coupled oscillators in which each element is given an oscillation frequency and a preferential oscillation direction (polarization), both randomly distributed. We found two collective transitions:…

Optics · Physics 2009-11-10 Alessandro Scire , Pere Colet , Maxi San Miguel

The phase oscillator model with global coupling is extended to the case of finite-range nonlocal coupling. Under suitable conditions, peculiar patterns emerge in which a quasi-continuous array of identical oscillators separates sharply into…

Statistical Mechanics · Physics 2007-05-23 Yoshiki Kuramoto , Dorjsuren Battogtokh

We study the synchronization of the auto-oscillation signal generated by the spin transfer driven dynamics of two coupled vortices in a spin-valve nanopillar to an external source. Phase-locking to the microwave field hrf occurs in a range…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 A. Hamadeh , Nicolas Locatelli , V. V. Naletov , Romain Lebrun , Grégoire De Loubens , Julie Grollier , Olivier Klein , V. Cros

A long-standing expectation is that two repulsively coupled oscillators tend to oscillate in opposite directions. It has been difficult to achieve complete synchrony in coupled identical oscillators with purely repulsive coupling. Here, we…

Chaotic Dynamics · Physics 2023-01-18 Simin Mirzaei , Md Sayeed Anwar , Fatemeh Parastesh , Sajad Jafari , Dibakar Ghosh

Classical self-sustained oscillators, that generate periodic motion without periodic external forcing, are ubiquitous in science and technology. The realization of nonclassical self-oscillators is an important goal of quantum physics. We…

Quantum Physics · Physics 2025-04-02 Yi Li , Zihan Xie , Xiaodong Yang , Yue Li , Xingyu Zhao , Xu Cheng , Xinhua Peng , Jun Li , Eric Lutz , Yiheng Lin , Jiangfeng Du

Shared upstream dynamical processes are frequently the source of common inputs in various physical and biological systems. However, due to finite signal transmission speeds and differences in the distance to the source, time shifts between…

Neurons and Cognition · Quantitative Biology 2017-03-10 Ehsan Bolhasani , Yousef Azizi , Alireza Valizadeh , Matjaz Perc

Synchronization resulting in unified collective behavior of the individual elements of a system that are weakly coupled to each other has long fascinated scientists. Examples range from the periodic oscillation of coupled pendulum clocks to…

The synchronization of coupled oscillators is a phenomenon found throughout nature. Mechanical oscillators are paradigmatic among such systems, but realising them at the nanoscale is challenging. We report synchronization of the mechanical…

We propose a theoretical framework to study the cooperative behavior of dynamically coupled oscillators (DCOs) that possess dynamical interactions. Then, to understand synchronization phenomena in networks of interneurons which possess…

Disordered Systems and Neural Networks · Physics 2009-11-07 Toru Aonishi , Masato Okada

Synchronization is ubiquitous in nature at various scales and fields. This phenomenon not only offers a window into the intrinsic harmony of complex systems, but also serves as a robust probe for many-body quantum systems. One such system…

We study synchronization in populations of phase-coupled stochastic three-state oscillators characterized by a distribution of transition rates. We present results on an exactly solvable dimer as well as a systematic characterization of…

Statistical Mechanics · Physics 2015-06-25 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg

In this paper, a 3-terminal spin-transfer torque nano-oscillator (STNO) is studied using the concurrent spin injection of a spin-polarized tunneling current and a spin Hall current exciting the free layer into dynamic regimes beyond what is…

We make measurements of power spectral density of the microwave voltage emitted by a spin torque nano-oscillator (STNO) and compare our experimental results to predictions of an analytic theory of a single-mode STNO dynamics by V. S.…

Other Condensed Matter · Physics 2009-11-13 C. Boone , J. A. Katine , J. R. Childress , J. Zhu , X. Cheng , I. N. Krivorotov

The mechanism of synchronization of oscillations in two identical coupled flow systems has beenstudied. The time (past the coupling onset) during which a synchronous oscillation regime is establisheddepends on the oscillation phase…

Chaotic Dynamics · Physics 2015-06-26 A. A. Koronovskii , A. E. Hramov , I. A. Khromova