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Coupled oscillator networks often display transitions between qualitatively different phase-locked solutions -- such as synchrony and rotating wave solutions -- following perturbation or parameter variation. In the limit of weak coupling,…

Dynamical Systems · Mathematics 2025-10-10 Jorge L. Ocampo-Espindola , István Z. Kiss , Christian Bick , Kyle C. A. Wedgwood

Time synchronization is a critical task in robotic computing such as autonomous driving. In the past few years, as we developed advanced robotic applications, our synchronization system has evolved as well. In this paper, we first introduce…

Robotics · Computer Science 2021-03-31 Shaoshan Liu , Bo Yu , Yahui Liu , Kunai Zhang , Yisong Qiao , Thomas Yuang Li , Jie Tang , Yuhao Zhu

In this paper, we study a system of two Rossler oscillators coupled through a time-varying link, periodically switching between two values. We analyze the system behavior with respect to the frequency of the switching. By applying an…

Numerical and experimental evidence is presented to show that many phase synchronized systems of non-identical chaotic oscillators, where the chaotic state is reached through a period-doubling cascade, show rapid convergence of the…

Statistical Mechanics · Physics 2009-11-10 Jörn Davidsen , István Z. Kiss , John L. Hudson , Raymond Kapral

We consider a stochastic model of clock synchronization in a wireless network consisting of N sensors interacting with one dedicated accurate time server. For large N we find an estimate of the final time sychronization error for global and…

Probability · Mathematics 2013-03-04 Anatoly Manita

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…

Statistical Mechanics · Physics 2009-11-10 Yamir Moreno , Amalio F. Pacheco

We investigate the existence of an optimal interplay between the natural frequencies of a group chaotic oscillators and the topological properties of the network they are embedded in. We identify the conditions for achieving phase…

Adaptation and Self-Organizing Systems · Physics 2017-01-13 Per Sebastian Skardal , Ricardo Sevilla-Escoboza , Victor Vera-Ávila , Javier Martín Buldú

We introduce a distributed algorithm for clock synchronization in sensor networks. Our algorithm assumes that nodes in the network only know their immediate neighborhoods and an upper bound on the network's diameter. Clock-synchronization…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-02-05 Rodolfo M. Pussente , Valmir C. Barbosa

We present and analyze deterministic complex networks of pulse-coupled oscillators that exhibits recurrent events comprised of an increase and a decline in synchrony. Events emerging from the networks may form an oscillatory behavior or may…

Biological Physics · Physics 2014-03-04 Alexander Rothkegel , Klaus Lehnertz

Due to time delays in signal transmission and processing, phase lags are inevitable in realistic complex oscillator networks. Conventional wisdom is that phase lags are detrimental to network synchronization. Here we show that judiciously…

Chaotic Dynamics · Physics 2018-08-15 Huawei Fan , Ying-Cheng Lai , Shi-Xian Qu , Xingang Wang

We investigate synchronization in a Kuramoto-like model with nearest neighbour coupling. Upon analyzing the behaviour of individual oscillators at the onset of complete synchronization, we show that the time interval between bursts in the…

In [1] a new adaptive phase-locked loop scheme for synchronization of a grid connected voltage source converter with guaranteed (almost) global stability properties was reported. To guarantee a suitable synchronization with the angle of the…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Wei He , Jiachen Yan , Romeo Ortega , Daniele Zonetti

Sub-nanosecond precision clock synchronization over the packet network has been achieved by the White Rabbit protocol for a decade. However, few computer systems utilize such a technique. We try to attract more interest in the clock…

Networking and Internet Architecture · Computer Science 2021-07-01 Ying Zhang

Clock asynchronism is a critical issue in integrating radar sensing into communication networks. It can cause ranging ambiguity and prevent coherent processing of dis-continuous measurements in integration with asynchronous transceivers.…

Signal Processing · Electrical Eng. & Systems 2022-07-26 J. Andrew Zhang , Kai Wu , Xiaojing Huang , Y. Jay Guo , Daqing Zhang , Robert W. Heath

We study the efficiency of synchronization in ensembles of identical coupled stochastic oscillator systems. By deriving a chemical Langevin equation, we measure the rate at which the systems synchronize. The rate at which the difference in…

Subcellular Processes · Quantitative Biology 2015-04-03 G. Reenaroy Devi , R. K. Brojen Singh , Ram Ramaswamy

We study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stability of the fully synchronized states depend only on the mean…

Chaotic Dynamics · Physics 2016-07-04 Lucas Wetzel , Luis G. Morelli , Andrew C. Oates , Frank Julicher , Saul Ares

We develop a framework in which the activity of nonlinear pulse-coupled oscillators is posed within the renewal theory. In this approach, the evolution of inter-event density allows for a self-consistent calculation that determines the…

Biological Physics · Physics 2019-12-04 Farzad Farkhooi , Carl van Vreeswijk

By means of numerical integration we investigate the coherent and incoherent phases in a generalized Kuramoto model of phase-coupled oscillators with distance-dependent delay. Preserving the topology of a complete graph, we arrange the…

Chaotic Dynamics · Physics 2010-08-04 Karol Trojanowski , Lech Longa

Distributed wireless clock synchronization is essential for aligning the clocks of distributed transceivers in support of joint transmission and reception techniques. One recently explored method involves synchronizing distributed…

Signal Processing · Electrical Eng. & Systems 2025-10-01 Kumar Sai Bondada , Hiten Kothari , Yibin Liang , Daniel J. Jakubisin , R. Michael Buehrer

We present an enhanced entangled quantum clock protocol that incorporates a quantum phase estimation algorithm to directly estimate proper-time differences as an unknown phase. By employing highly entangled multi-clock states, the…

Quantum Physics · Physics 2026-04-09 Won-Young Hwang