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Many biological and physical systems exhibit population-density dependent transitions to synchronized oscillations in a process often termed "dynamical quorum sensing". Synchronization frequently arises through chemical communication via…

细胞行为 · 定量生物学 2010-12-23 David J. Schwab , Ania Baetica , Pankaj Mehta

Limit-cycle oscillators are the basic building blocks for synchronization; yet, the notion of a quantum limit cycle has remained unclear. Here, we study quantum limit cycles and synchronization in the presence of continuous heterodyne…

量子物理 · 物理学 2026-04-16 Tobias Nadolny , Christoph Bruder

Many biological and chemical systems could be modeled by a population of oscillators coupled indirectly via a dynamical environment. Essentially, the environment by which the individual elements communicate is heterogeneous. Nevertheless,…

混沌动力学 · 物理学 2017-05-24 Bing-Wei Li , Xiao-Zhi Cao , Chenbo Fu

Synchronization is a hallmark of collective behavior that emerges when nonlinear systems interact, spanning scales from mechanical oscillators to planetary orbits. As a universal phenomenon it underpins the study of complex systems and has…

量子物理 · 物理学 2025-11-20 Jiarui Liu , Qiming Wu , Joel E. Moore , Hartmut Haeffner , Christopher W. Wächtler

We develop a general theoretical framework of semiclassical phase reduction for analyzing synchronization of quantum limit-cycle oscillators. The dynamics of quantum dissipative systems exhibiting limit-cycle oscillations are reduced to a…

适应与自组织系统 · 物理学 2019-10-16 Yuzuru Kato , Naoki Yamamoto , Hiroya Nakao

We analyse the properties of the synchronisation transition in a many-body system consisting of quantum van der Pol oscillators with all-to-all coupling using a self-consistent mean-field method. We find that the synchronised state, which…

量子物理 · 物理学 2018-11-14 C. Davis-Tilley , C. K. Teoh , A. D. Armour

Recently, several studies have investigated synchronization in quantum-mechanical limit-cycle oscillators. However, the quantum nature of these systems remained partially hidden, since the dynamics of the oscillator's phase was overdamped…

量子物理 · 物理学 2017-04-19 Talitha Weiss , Stefan Walter , Florian Marquardt

We employ a quantum trajectory approach to characterize synchronization and phase-locking between open quantum systems in nonequilibrium steady states. We exemplify our proposal for the paradigmatic case of two quantum Van der Pol…

量子物理 · 物理学 2020-05-12 Najmeh Es'haqi-Sani , Gonzalo Manzano , Roberta Zambrini , Rosario Fazio

Shared upstream dynamical processes are frequently the source of common inputs in various physical and biological systems. However, due to finite signal transmission speeds and differences in the distance to the source, time shifts between…

神经元与认知 · 定量生物学 2017-03-10 Ehsan Bolhasani , Yousef Azizi , Alireza Valizadeh , Matjaz Perc

Demographic oscillators are individual-based systems exhibiting temporal cycles sustained by the stochastic dynamics of the microscopic interacting particles. We here use the example of coupled predator-prey oscillators to show that…

适应与自组织系统 · 物理学 2008-11-26 Tobias Galla

Driven classical self-sustained oscillators have been studied extensively in the context of synchronization. Using the master equation, this work considers the classically driven generalized quantum Rayleigh-van der Pol oscillator, which is…

量子物理 · 物理学 2024-01-09 A. J. Sudler , J. Talukdar , D. Blume

Classical self-sustained oscillators, that generate periodic motion without periodic external forcing, are ubiquitous in science and technology. The realization of nonclassical self-oscillators is an important goal of quantum physics. We…

量子物理 · 物理学 2025-04-02 Yi Li , Zihan Xie , Xiaodong Yang , Yue Li , Xingyu Zhao , Xu Cheng , Xinhua Peng , Jun Li , Eric Lutz , Yiheng Lin , Jiangfeng Du

Synchronization is a major concept in nonlinear physics. In a large number of systems, it is observed at long times for a sinusoidal excitation. In this paper, we design a transiently non-sinusoidal driving to reach the synchronization…

量子物理 · 物理学 2023-01-11 François Impens , David Guéry-Odelin

We propose a method for detecting the presence of synchronization of self-sustained oscillator by external driving with linearly varying frequency. The method is based on a continuous wavelet transform of the signals of self-sustained…

We study the synchronization phenomena in a system of globally coupled oscillators with time delay in the coupling. The self-consistency equations for the order parameter are derived, which depend explicitly on the amount of delay. Analysis…

统计力学 · 物理学 2009-10-31 M. Y. Choi , H. J. Kim , D. Kim , H. Hong

In systems of coupled oscillators, the effects of complex signaling can be captured by time delays and phase shifts. Here, we show how time delays and phase shifts lead to different oscillator dynamics and how synchronization rates can be…

适应与自组织系统 · 物理学 2018-03-30 David J. Jörg , Luis G. Morelli , Saúl Ares , Frank Jülicher

Experiments and supporting theoretical analysis is presented to describe the synchronization patterns that can be observed with a population of globally coupled electrochemical oscillators close to a homoclinic, saddle-loop bifurcation,…

适应与自组织系统 · 物理学 2018-04-10 Hiroshi Kori , István Z. Kiss , Swati Jain , John L. Hudson

To observe synchronization in a large network of classical or quantum systems demands both excellent control of the interactions between the nodes and very accurate preparation of the initial conditions due to the involved nonlinearities…

量子物理 · 物理学 2023-04-14 Christopher W. Wächtler , Gloria Platero

In this technical note, we propose a practicable quantized sampled velocity data coupling protocol for synchronization of a set of harmonic oscillators. The coupling protocol is designed in a quantized way via interconnecting the velocities…

最优化与控制 · 数学 2019-02-28 Jingyi Wang , Jianwen Feng , Yijun Lou , Guanrong Chen

This paper proposes a novel method to achieve and preserve synchronization for a set of connected heterogeneous Van der Pol oscillators. Unlike the state-of-the-art synchronization methods, in which a large coupling gain is applied to…

系统与控制 · 电气工程与系统科学 2023-03-29 Tabea Trummel , Zonglin Liu , Olaf Stursberg
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