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Synchronization phenomena have been recently reported in the quantum realm at atomic level due to collective dissipation. In this work we propose a dimer lattice of trapped atoms realizing a dissipative spin model where quantum…

Quantum Physics · Physics 2019-07-19 Albert Cabot , Gian Luca Giorgi , Fernando Galve , Roberta Zambrini

We investigate the temporal dynamics of the PT-Symmetric nonlinear oscillators in the presence of Duffing nonlinearity for two forms of oscillator configuration. In the former, we consider two oscillator coupled to each other. One…

Adaptation and Self-Organizing Systems · Physics 2023-10-20 Jyoti Prasad Deka

We consider dissipative dynamics of atoms in a strong standing laser wave and find a nonlinear dynamical effect of synchronization between center-of-mass motion and internal Rabi oscillations. The synchronization manifests itself in the…

Quantum Physics · Physics 2009-11-10 V. Yu. Argonov , S. V. Prants

A system of two enzymes mechanically coupled to each other in a viscous medium was recently studied, and conditions for obtaining synchronization and an enhanced average rate of the thermally-activated catalytic reactions of the enzymes…

Statistical Mechanics · Physics 2023-09-29 Michalis Chatzittofi , Ramin Golestanian , Jaime Agudo-Canalejo

We study how quantum and thermal noise affects synchronization of two optomechanical limit-cycle oscillators. Classically, in the absence of noise, optomechanical systems tend to synchronize either in-phase or anti-phase. Taking into…

Quantum Physics · Physics 2016-01-26 Talitha Weiss , Andreas Kronwald , Florian Marquardt

We analyze the phase conjugate coupling of a pair of optomechanical oscillator modes driven by the time-dependent beat-note due to a two-color optical field. The dynamics of the direct and phase conjugate modes exhibit familiar…

Quantum Physics · Physics 2015-06-15 L. F. Buchmann , E. M. Wright , P. Meystre

We report a spectrum of exotic frequency-locked states in a ring of phase oscillators with pure three-body interactions. For identical oscillators, the system hosts a vast multiplicity of stable quantized frequency-locked states without…

Pattern Formation and Solitons · Physics 2025-12-23 Jinfeng Liang , Shanshan Zhu , Yang Li , Qionglin Dai , Haihong Li , Junzhong Yang

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 investigate synchronization in complex networks of noisy phase oscillators. We find that, while too weak a coupling is not sufficient for the whole system to synchronize, too strong a coupling induces a nontrivial type of phase slip…

Adaptation and Self-Organizing Systems · Physics 2016-07-27 Yasuaki Kobayashi , Hiroshi Kori

In this article we study synchronization of systems of homogeneous phase-coupled oscillators with plastic coupling strengths and arbitrary underlying topology. The dynamics of the coupling strength between two oscillators is governed by the…

Dynamical Systems · Mathematics 2016-02-24 Andrey Gushchin , Enrique Mallada , Ao Tang

We consider here a model previously introduced to describe the collective behavior of an ensemble of cold atoms interacting with a coherent electromagnetic field. The atomic motion along the self-generated spatially-periodic force field can…

Optics · Physics 2009-11-13 J. Javaloyes , M. Perrin , A. Politi

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of…

Chaotic Dynamics · Physics 2007-09-10 M. Ciszak , A. Montina , F. T. Arecchi

We numerically study the synchronization of two nonidentical pendulum motions, pivoting on a common movable frame in the point of view of the dynamic phase transition. When the difference in the pendulum lengths is not too large, it is…

Statistical Mechanics · Physics 2011-07-14 Il Gu Yi , Hyun Keun Lee , Sung Hyun Jeon , Beom Jun Kim

A novel regime of synchronization, called remote synchronization, where the peripheral nodes form a phase synchronized cluster not including the hub, was recently observed in star motifs. We show the existence of a more general dynamical…

We begin with the simple model of phase sychronization in open classical nonlinear system which is represented in the language of angular momentum variables. After that we propose the relevant quantum counterpart of this system. Using the…

Quantum Physics · Physics 2015-11-17 E. D. Vol

The phenomenon of frequency and phase synchronization in stochastic systems requires a revision of concepts originally phrased in the context of purely deterministic systems. Various definitions of an instantaneous phase are presented and…

Statistical Mechanics · Physics 2009-11-07 Jan A. Freund , Lutz Schimansky-Geier , Peter Haenggi

The temporal behaviour of segmentation clock oscillations show phase synchrony via mean field like coupling of delta protein restricting to nearest neighbours only, in a configuration of cells arranged in a regular three dimensional array.…

Synchronization is a ubiquitous phenomenon occurring in social, biological, and technological systems when the internal rhythms of their constituents are adapted to be in unison as a result of their coupling. This natural tendency towards…

Statistical Mechanics · Physics 2014-11-11 Ignacio Hermoso de Mendoza , Leonardo A. Pachón , Jesús Gómez-Gardeñes , David Zueco

The collective phase response to a macroscopic external perturbation of a population of interacting nonlinear elements exhibiting collective oscillations is formulated for the case of globally-coupled oscillators. The macroscopic phase…

Adaptation and Self-Organizing Systems · Physics 2008-07-09 Yoji Kawamura , Hiroya Nakao , Kensuke Arai , Hiroshi Kori , Yoshiki Kuramoto

We describe the effects of the asymmetry of cycles and non-stationarity in time series on the phase synchronization method. We develop a modified method that overcomes these effects and apply this method to study parkinsonian tremor. Our…

Statistical Mechanics · Physics 2007-05-23 Avi Gozolchiani , Shay Moshel , Jeffrey M. Hausdorff , Ely Simon , Jurgen Kurths , Shlomo Havlin