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Floquet theory is a widely used framework to describe the dynamics of periodically-driven quantum systems. The usual set up to describe such kind of systems is to consider the effect of an external control with a definite period in time…

量子物理 · 物理学 2025-10-10 V. M. Bastidas

We consider an extension of Kuramoto's model of coupled phase oscillators where oscillator pairs interact with different strengths. When the coupling coefficient of each pair can be separated into two different factors, each one associated…

斑图形成与孤子 · 物理学 2009-11-13 Gabriel H. Paissan , Damian H. Zanette

This paper deals with an optimal control problem associated to the Kuramoto model describing the dynamical behavior of a network of coupled oscillators. Our aim is to design a suitable control function allowing us to steer the system to a…

适应与自组织系统 · 物理学 2020-05-15 Umberto Biccari , Enrique Zuazua

When modeling the classical Kuramoto model, one of the key features is the tendency to synchronize. Accordingly, the most well-adopted choice of the coupling function is the sine function. Due to the oddness of the sine function, the…

动力系统 · 数学 2024-04-02 Chun-Hsiung Hsia , Chung-En Tsai

Optomechanical oscillators stand out as high-performance and versatile candidates for serving as reference clocks in sequential photonic integrated circuits. Indeed, they have the unique capability of simultaneously generating mechanical…

The Kuramoto model is a classical mathematical model in the field of non-linear dynamical systems that describes the evolution of coupled oscillators in a network that may reach a synchronous state. The relationship between the network's…

概率论 · 数学 2024-02-16 Pedro Abdalla , Afonso S. Bandeira , Clara Invernizzi

Can synchronization properties of a network of identical oscillators in the presence of noise be improved through appropriate rewiring of its connections? What are the optimal network architectures for a given total number of connections?…

适应与自组织系统 · 物理学 2013-05-30 Tatsuo Yanagita , Alexander S. Mikhailov

Coupled oscillators have been used to study synchronization in a wide range of social, biological, and physical systems, including pedestrian-induced bridge resonances, coordinated lighting up of firefly swarms, and enhanced output peak…

适应与自组织系统 · 物理学 2021-11-01 Can Xu , Xiaohuan Tang , Huaping Lü , Karin Alfaro-Bittner , Stefano Boccaletti , Matjaz Perc , Shuguang Guan

A family of stochastic processes has quasi-cycle oscillations if the oscillations are sustained by noise. For such a family we define a Kuramoto-type coupling of both phase and amplitude processes. We find that synchronization, as measured…

动力系统 · 数学 2015-11-30 Priscilla E. Greenwood , Lawrence M. Ward

We study the phenomenon of synchronization in pairs of doubly clamped, mechanically coupled silicon micro-oscillators. A continuous-wave laser beam is used to drive the micro-beams into limit cycle oscillations and to detect the…

斑图形成与孤子 · 物理学 2022-12-27 Aditya Bhaskar , Mark Walth , Richard H. Rand , Alan T. Zehnder

This paper studies the stability of synchronized states in networks where couplings between nodes are characterized by some distributed time delay, and develops a generalized master stability function approach. Using a generic example of…

混沌动力学 · 物理学 2014-10-28 Y. N. Kyrychko , K. B. Blyuss , E. Schoell

We extend the concepts of quantum complete synchronization and phase synchronization, which are proposed firstly in [Phys. Rev. Lett, 111 103605 (2013)], to more widespread quantum generalized synchronization. The generalized…

量子物理 · 物理学 2016-07-20 Wenlin Li , Chong Li , Heshan Song

Floquet engineering is the concept of tailoring a system by a periodic drive. It has been very successful in opening new classes of Hamiltonians to the study with ultracold atoms in optical lattices, such as artificial gauge fields,…

量子气体 · 物理学 2021-08-13 Christof Weitenberg , Juliette Simonet

We investigate collective nonlinear dynamics in a blue-detuned optomechanical cavity that is mechanically coupled to an undriven mechanical resonator. By controlling the strength of the driving field, we engineer a mechanical gain that…

介观与纳米尺度物理 · 物理学 2020-10-21 P. Djorwé , Y. Pennec , B. Djafari-Rouhani

We study a Kuramoto-like model of coupled identical phase oscillators on a network, where attractive and repulsive couplings are balanced dynamically due to nonlinearity in interaction. Under a week force, an oscillator tends to follow the…

适应与自组织系统 · 物理学 2015-01-28 Celso Freitas , Elbert Macau , Arkady Pikovsky

We study the effects of synchronization and desynchronization in ensembles of phase oscillators with the global Kuramoto-Sakaguchi coupling under common noise driving. Since the mechanisms of synchronization by coupling and by common noise…

统计力学 · 物理学 2023-08-21 D. S. Goldobin , A. V. Dolmatova , M. Rosenblum , A. Pikovsky

Synchronization of non-identical oscillators coupled through complex networks is an important example of collective behavior. It is interesting to ask how the structural organization of network interactions influences this process. Several…

适应与自组织系统 · 物理学 2017-09-13 Lia Papadopoulos , Jason Kim , Jurgen Kurths , Danielle S. Bassett

Recently, the first-order synchronization transition has been studied in systems of coupled phase oscillators. In this paper, we propose a framework to investigate the synchronization in the frequency-weighted Kuramoto model with all-to-all…

适应与自组织系统 · 物理学 2015-11-18 Can Xu , Yuting Sun , Jian Gao , Tian Qiu , Zhigang Zheng , Shuguang Guan

Floquet engineering, the control of quantum systems using periodic driving, is an old concept in condensed matter physics, dating back to ideas such as the inverse Faraday effect. There is a renewed interest in this concept owing to the…

强关联电子 · 物理学 2018-12-20 Takashi Oka , Sota Kitamura

We study the emergence of synchronization in the Kuramoto model on a digraph in the presence of time delays. Assuming the digraph is strongly connected, we first establish a uniform bound on the phase diameter and subsequently prove the…

最优化与控制 · 数学 2024-06-05 Conor Carty , Young-Pil Choi , Chiara Cicolani , Cristina Pignotti