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We consider a toy model of two kinetically coupled stochastic oscillators whose dynamics is described as a Markov jump process among $N$ discrete phase states. For large $N$, it maps onto the deterministic two-oscillator Kuramoto model of…

统计力学 · 物理学 2026-03-24 Maciej Chudak , Massimiliano Esposito , Krzysztof Ptaszynski

In exploring the simulation of human rhythmic perception and synchronization capabilities, this study introduces a computational model inspired by the physical and biological processes underlying rhythm processing. Utilizing a reservoir…

神经元与认知 · 定量生物学 2025-03-28 Zhongju Yuan , Wannes Van Ransbeeck , Geraint Wiggins , Dick Botteldooren

In this paper, we study the synchronization problem of nonuniform second-order Kuramoto model with homogeneous dampings and frustration effects on an asymmetric network. More precisely, we focus on the second order model defined on an…

动力系统 · 数学 2025-03-18 Tingting Zhu , Xiongtao Zhang

Synchronization is a ubiquitous phenomenon in nature and we propose its new perspective in ultrafast dynamics in interacting electron systems. In particular, using graphene irradiated by an intense bi-circular pulse laser as a prototypical…

强关联电子 · 物理学 2019-10-02 Tanay Nag , Robert-Jan Slager , Takuya Higuchi , Takashi Oka

We consider a system of globally-coupled phase-only oscillators with distributed intrinsic frequencies and evolving in presence of distributed Gaussian, white noise, namely, a Gaussian, white noise whose strength for every oscillator is a…

统计力学 · 物理学 2023-12-20 Alessandro Campa , Shamik Gupta

The Kuramoto model serves as a paradigm to study the phenomenon of spontaneous collective synchronization. We study here a nontrivial generalization of the Kuramoto model by including an interaction that breaks explicitly the rotational…

适应与自组织系统 · 物理学 2020-09-30 V K Chandrasekar , M Manoranjani , Shamik Gupta

We study the interplay between non-Hermitian dynamics and phase synchronization in a system of $\mathcal{N}$ bosonic modes coupled to an auxiliary mode. The linearity of the evolution in such a system allows for the derivation of fully…

量子物理 · 物理学 2021-11-04 J. Rohn , K. P. Schmidt , C. Genes

Synchronization commonly occurs in many natural and man-made systems, from neurons in the brain to cardiac cells to power grids to Josephson junction arrays. Transitions to or out of synchrony for coupled oscillators depend on several…

适应与自组织系统 · 物理学 2018-05-10 Hui Wu , Mukesh Dhamala

The collective dynamics in populations of magnetic spin torque oscillators (STO) is an intensely studied topic in modern magnetism. Here, we show that arrays of STO coupled via dipolar fields can be modeled using a variant of the Kuramoto…

介观与纳米尺度物理 · 物理学 2016-09-06 Vegard Flovik , Ferran Macià , Erik Wahlström

In this work, we study the synchronization of coupled phase oscillators on the underlying topology of scale-free networks. In particular, we assume that each network's component is an oscillator and that each interacts with the others…

统计力学 · 物理学 2009-11-10 Yamir Moreno , Amalio F. Pacheco

This paper studies a mean field game formulation of the classical Kuramoto model for synchronization. Our model captures the diversity within the population by considering random intrinsic frequencies, which allows us to study the impact of…

泛函分析 · 数学 2025-09-23 Rene Carmona , Quentin Cormier , Mete Soner

We have extended the study of the Kuramoto model with additive Gaussian noise running on the KKI-18 large human connectome graph. We determined the dynamical behavior of this model by solving it numerically in an assumed homeostatic state,…

适应与自组织系统 · 物理学 2021-09-28 Géza Ódor , Jeffrey Kelling , Gustavo Deco

The basic phenomenology of experimentally observed synchronization (i.e., a stochastic phase locking) of identical, beating flagella of a biflagellate alga is known to be captured well by a minimal model describing the dynamics of coupled,…

软凝聚态物质 · 物理学 2019-02-28 V. Dotsenko , A. Maciolek , G. Oshanin , O. A. Vasilyev , S. Dietrich

The emergence of synchrony essentially underlies the functionality of many systems across physics, biology and engineering. In all established synchronization phase transitions so far, a stable synchronous state is connected to a stable…

适应与自组织系统 · 物理学 2025-07-14 Seungjae Lee , Lennart J. Kuklinski , Moritz Thümler , Marc Timme

The Kuramoto model, which serves as a paradigm for investigating synchronization phenomenon of oscillatory system, is known to exhibit second-order, i.e., continuous, phase transitions in the macroscopic order parameter. Here, we generalize…

适应与自组织系统 · 物理学 2020-11-04 Can Xu , Xuebin Wang , Per Sebastian Skardal

The synchronization phenomenon is ubiquitous in nature. In ensembles of coupled oscillators, explosive synchronization is a particular type of transition to phase synchrony that is first-order as the coupling strength increases. Explosive…

适应与自组织系统 · 物理学 2020-01-23 Inmaculada Leyva , Cristina Masoller

A system's response to external periodic changes can provide crucial information about its dynamical properties. We investigate the synchronization transition, an archetypical example of a dynamic phase transition, in the framework of such…

统计力学 · 物理学 2012-02-28 Sang Hoon Lee , Sungmin Lee , Seung-Woo Son , Petter Holme

The sectoral synchronization observed for the Japanese business cycle in the Indices of Industrial Production data is an example of synchronization. The stability of this synchronization under a shock, e.g., fluctuation of supply or demand,…

统计金融 · 定量金融 2011-11-01 Y. Ikeda , H. Aoyama , Y. Fujiwara , H. Iyetomi , K. Ogimoto , W. Souma , H. Yoshikawa

The synchronization of coupled chaotic systems represents a fundamental example of self organization and collective behavior. This well-studied phenomenon is classically characterized in terms of macroscopic parameters, such as Lyapunov…

We generalize the Kuramoto model of coupled oscillators to allow time-delayed interactions. New phenomena include bistability between synchronized and incoherent states, and unsteady solutions with time-dependent order parameters. We derive…

chao-dyn · 物理学 2009-10-31 M. K. Stephen Yeung , Steven H. Strogatz