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The mechanism of phase synchronization between uncoupled limit-cycle oscillators induced by common external impulsive forcing is analyzed. By reducing the dynamics of the oscillator to a random phase map, it is shown that phase…

Adaptation and Self-Organizing Systems · Physics 2007-06-13 H. Nakao , K. Arai , K. Nagai , Y. Tsubo , Y. Kuramoto

In lossless acoustic systems, mode transitions are always time-reversible, consistent with Lorentz reciprocity, giving rise to symmetric sound manipulation in space-time. To overcome this fundamental limitation and break space-time…

We study the collective dynamics of repulsive self-propelled particles. The particles are governed by coupled equations of motion that include polar self-propulsion, damping of velocity and of polarity, repulsive particle-particle…

Statistical Mechanics · Physics 2017-01-04 Takayuki Hiraoka , Takashi Shimada , Nobuyasu Ito

We study the effect of introducing separable quenched disorder on a non-equilibrium mean-field spin model exhibiting a phase transition to an oscillating state in the absence of disorder, due to non-reciprocal interactions. In the…

Disordered Systems and Neural Networks · Physics 2026-02-03 Laura Guislain , Eric Bertin

We show that a lattice of phase oscillators with random natural frequencies, described by a generalization of the nearest-neighbor Kuramoto model with an additional cosine coupling term, undergoes a phase transition from a desynchronized to…

Quantum Gases · Physics 2022-01-20 John P. Moroney , Paul R. Eastham

We investigate the effects of quenched disorder on the coherent response in a driven system of coupled oscillators. In particular, the interplay between quenched noise and periodic driving is explored, with particular attention to the…

Statistical Mechanics · Physics 2009-11-10 H. Hong

We investigate the dynamical motion of particles on a two-dimensional symmetric periodic substrate in the presence of both a dc drive along a symmetry direction of the periodic substrate and an additional circular ac drive. For large enough…

Statistical Mechanics · Physics 2009-11-10 C. Reichhardt , C. J. Olson Reichhardt , M. B. Hastings

We show that, in periodically perturbed chaotic systems, Phase Synchronization appears, associated to a special type of stroboscopic map, in which not only averages quantities are equal to invariants of the perturbation, the angular…

Statistical Mechanics · Physics 2007-05-23 M. S. Baptista , T. Pereira , J. C. Sartorelli , I. L. Caldas , J. Kurths

A system of two coupled ensembles of phase oscillators can follow different routes to inter-ensemble synchronization. Following a short report of our preliminary results [Phys. Rev. E. {\bf 78}, 025201(R) (2008)], we present a more detailed…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Jane H. Sheeba , V. K. Chandrasekar , Aneta Stefanovska , Peter V. E. McClintock

We demonstrate the real-time detection of dynamical phase transitions (DPTs) in lattice-confined spinor gases subject to a priori unknown time-variant interactions, via the temporal behaviors of both the system energy and spinor phases…

Quantum Gases · Physics 2026-04-07 J. O. Austin-Harris , Z. N. Hardesty-Shaw , C. Binegar , P. Sigdel , T. Bilitewski , Y. Liu

Synchronization is a widespread phenomenon observed in physical, biological, and social networks, which persists even under the influence of strong noise. Previous research on oscillators subject to common noise has shown that noise can…

Adaptation and Self-Organizing Systems · Physics 2021-06-02 Zachary G. Nicolaou , Michael Sebek , Istvan Z. Kiss , Adilson E. Motter

Spontaneous synchronization between coupled periodic systems occur in a wealth of classical physical setups. Here, we show theoretically that the phase of two distinct quantum harmonic oscillators spontaneously when they are strongly…

Quantum Physics · Physics 2019-09-04 Loic Henriet

The synchronized phase of globally coupled nonlinear oscillators subject to noise fluctuations is studied by means of a new analytical approach able to tackle general couplings, nonlinearities, and noise temporal correlations. Our results…

Disordered Systems and Neural Networks · Physics 2009-10-31 Esteban Moro , Angel Sanchez

We study a generalized Kuramoto model in which each oscillator carries two coupled phase variables, representing a minimal swarmalator system. Assuming perfect correlation between the intrinsic frequencies associated with each phase…

Statistical Mechanics · Physics 2025-11-12 Hyunsuk Hong , Jae Sung Lee , Hyunggyu Park

Systems of oscillators subject to time-dependent noise typically achieve synchronization for long times when their mutual coupling is sufficiently strong. The dynamical process whereby synchronization is reached can be thought of as a…

Statistical Mechanics · Physics 2024-11-11 Ricardo Gutierrez , Rodolfo Cuerno

We study the structural correlations and the nonlinear response to a driving force of a two-dimensional phase-field-crystal model with random pinning. The model provides an effective continuous description of lattice systems in the presence…

Statistical Mechanics · Physics 2011-09-02 E. Granato , J. A. P. Ramos , C. V. Achim , J. Lehikoinen , S. C. Ying , T. Ala-Nissila , K. R. Elder

We show that a class of random all-to-all spin models, realizable in systems of atoms coupled to an optical cavity, gives rise to a rich dynamical phase diagram due to the pairwise separable nature of the couplings. By controlling the…

A universal mechanism underlying generalized synchronization conditions in unidirectionally coupled stochastic oscillators is considered. The consideration is carried out in the framework of a modified system with additional dissipation.…

Chaotic Dynamics · Physics 2009-11-11 A. A. Koronovskii , O. I. Moskalenko , A. E. Hramov

In this study, we examine the domain wall within the framework of a cosmological harmonic oscillator. We investigate the interaction between the domain wall and a periodic background field, which can induce perturbations in the oscillatory…

High Energy Physics - Phenomenology · Physics 2025-12-01 Bo-Qiang Lu

Semiconductor $p^+ - p^- - n - p^+ - n^{++}$ structures with large junction and contact areas are treated as 1 \times 2-dimensional active media, in which self-organized pattern formation can be expected. The local bistable behavior of the…

patt-sol · Physics 2009-10-31 A. V. Gorbatyuk , F. -J. Niedernostheide
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