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We study synchronization in a system of phase-only oscillators residing on the sites of a one-dimensional periodic lattice. The oscillators interact with a strength that decays as a power law of the separation along the lattice length and…

Chaotic Dynamics · Physics 2013-12-04 Shamik Gupta , Max Potters , Stefano Ruffo

The coupled electron-nuclear spin system in an InGaAs semiconductor as testbed of nonlinear dynamics can develop auto-oscillations, resembling time-crystalline behavior, when continuously excited by a circularly polarized laser. We expose…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Alex Greilich , Nataliia E. Kopteva , Vladimir L. Korenev , Manfred Bayer

Spontaneous synchronization is a significant collective behavior of weakly coupled systems. Due to their inherent nonlinear nature, optomechanical systems can exhibit self-sustained oscillations which can be exploited for synchronizing…

Quantum Physics · Physics 2017-10-11 F. Bemani , Ali Motazedifard , R. Roknizadeh , M. H. Naderi , D. Vitali

Synchronization, a ubiquitous phenomenon in classical systems, has recently been extended to the quantum domain. Here, we show quantum synchronization of a bosonic mode exhibiting a Fock state-like limit cycle, manifesting as a steady state…

Quantum Physics · Physics 2026-05-29 Fabian Hassler , David Scheer , Samah Saquaque , Steven Kim

An oscillatory system can have clockwise and anticlockwise senses of rotation. We propose a general rule how to obtain counter-rotating oscillators from the definition of a dynamical system and then investigate synchronization. A type of…

Chaotic Dynamics · Physics 2015-05-28 S. K. Bhowmick , Dibakar Ghosh , Syamal K. Dana

In this paper, we study typical nonlinear phenomenon of phase-locking or synchronization in spin-torque nano oscillators (STNOs). To start with the oscillators are considered as uncoupled but interlinked through either a common microwave…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 R. Gopal , B. Subash , V. K. Chandrasekar , M. Lakshmanan

Oscillator networks display intricate synchronization patterns. Determining their stability typically requires incorporating the symmetries of the network coupling. Going beyond analyses that appeal only to a network's automorphism group,…

Dynamical Systems · Mathematics 2020-12-14 J. Emenheiser , A. Salova , J. Snyder , J. P. Crutchfield , R. M. D'Souza

We study the synchronization of Kuramoto oscillators with all-to-all coupling in the presence of slow, noisy frequency adaptation. In this paper we develop a new model for oscillators which adapt both their phases and frequencies. It is…

Statistical Mechanics · Physics 2015-05-13 Dane Taylor , Edward Ott , Juan G. Restrepo

We have conducted experiments to probe how the dynamics of nanocontact vortex oscillators can be modulated by an external signal. We explore the phase-locking properties in both the commensurate and chaotic regimes, where chaos appears to…

Mesoscale and Nanoscale Physics · Physics 2019-10-25 Jérémy Létang , Sébastien Petit-Watelot , Myoung-Woo Yoo , Thibaut Devolder , Karim Bouzehouane , Vincent Cros , Joo-Von Kim

We study dynamics of a serial array of spin-torque-oscillators with a parallel inductor-capacitor-resistor (LCR) load. In a large range of parameters the fully synchronous regime, where all the oscillators have the same state and the output…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 Arkady Pikovsky

Synchronization is of importance in both fundamental and applied physics, but their demonstration at the micro/nanoscale is mainly limited to low-frequency oscillations like mechanical resonators. Here, we report the synchronization of two…

Optics · Physics 2019-07-09 Da Xu , Zi-Zhao Han , Yu-Kun Lu , Qihuang Gong , Cheng-Wei Qiu , Gang Chen , Yun-Feng Xiao

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…

The control of complex systems and network-coupled dynamical systems is a topic of vital theoretical importance in mathematics and physics with a wide range of applications in engineering and various other sciences. Motivated by recent…

Adaptation and Self-Organizing Systems · Physics 2015-08-24 Per Sebastian Skardal , Alex Arenas

In this paper, we study geometric features of orientation-preserving random dynamical systems on the circle driven by memoryless noise that exhibit stable synchronisation: we consider crack points, invariant measures, and the link between…

Dynamical Systems · Mathematics 2017-08-15 Julian Newman

The phase and the frequency of an exciton polariton condensate excited by a nonresonant pump can be efficiently manipulated by an external coherent light. Being tuned close to the resonance with the condensate eigenfrequency, the external…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 I. Y. Chestnov , A. V. Kanokin , A. V. Yulin

We study synchronization of sinusoidally coupled phase oscillators on networks with modular structure and a large number of oscillators in each community. Of particular interest is the hierarchy of local and global synchrony, i.e.,…

Chaotic Dynamics · Physics 2012-01-19 Per Sebastian Skardal , Juan G. Restrepo

We implement nonlinear anharmonic interaction in the coupled van der Pol oscillators to investigate the quantum synchronization behaviour of the systems. We study the quantum synchronization in two oscillator models, coupled quantum van der…

Quantum Physics · Physics 2022-07-27 Niss Thomas , M. Senthilvelan

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…

According to the acoustic fluidization hypothesis, elastic waves at a characteristic frequency form inside seismic faults even in the absence of an external perturbation. These waves are able to generate a normal stress which contrasts the…

Statistical Mechanics · Physics 2018-02-14 F. Giacco , L. de Arcangelis , M. Pica Ciamarra , E. Lippiello

Recent work has shown that the synchronization process in lattices of self-sustained (phase and limit-cycle) oscillators displays universal scale-invariant behavior previously studied in the physics of surface kinetic roughening. The type…

Statistical Mechanics · Physics 2025-02-14 Ricardo Gutierrez , Rodolfo Cuerno
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