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Synchronization of coupled oscillators is a fundamental phenomenon that has been observed in many natural and engineered systems, ranging from biological cells to electronic circuits. In recent years, spin torque nano-oscillators (STNOs)…

Mesoscale and Nanoscale Physics · Physics 2024-08-22 Fangzhou Ai , Vitaliy Lomakin

In this article I investigate the novel synchronization behaviors of evolving pulse-coupled oscillator networks. Unlike previous models, the time-varying mechanism is inspired by neural network development, where seldom used links die out…

Chaotic Dynamics · Physics 2014-04-15 Yuanzhao Zhang

We numerically study a directed small-world network consisting of attractively coupled, identical phase oscillators. While complete synchronization is always stable, it is not always reachable from random initial conditions. Depending on…

Disordered Systems and Neural Networks · Physics 2015-03-13 Ralf Toenjes , Naoki Masuda , Hiroshi Kori

Networks of coupled nonlinear oscillators have been used to model circadian rhythms, flashing fireflies, Josephson junction arrays, high-voltage electric grids, and many other kinds of self-organizing systems. Recently, several authors have…

Dynamical Systems · Mathematics 2025-10-07 Shriya V. Nagpal , Gokul G. Nair , Steven H. Strogatz , Francesca Parise

A procedure is developed and tested to enforce synchronicity in a family of Stuart-Landau oscillators, coupled through a symmetric network. The proposed method exploits network plasticity, as an inherent non autonomous drive. More…

Adaptation and Self-Organizing Systems · Physics 2020-02-19 Claudio Pereti , Duccio Fanelli

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…

This study investigates remote synchronization in scale-free networks of coupled nonlinear oscillators inspired by synchronization observed in the brain's cortical regions and power grid. We employ the Master Stability Function (MSF)…

Systems and Control · Electrical Eng. & Systems 2024-11-15 Sanjeev Kumar Pandey

Synchronization of many coupled oscillators is widely found in nature and has the potential to revolutionize timing technologies. Here we demonstrate synchronization in arrays of silicon nitride micromechanical oscillators coupled purely…

Mesoscale and Nanoscale Physics · Physics 2015-10-21 Mian Zhang , Shreyas Shah , Jaime Cardenas , Michal Lipson

We propose a methodology to analyze synchronization in an ensemble of diffusively coupled multistable systems. First, we study how two bidirectionally coupled multistable oscillators synchronize and demonstrate the high complexity of the…

Chaotic Dynamics · Physics 2015-06-23 R. Sevilla-Escoboza , J. M. Buldú , A. N. Pisarchik , S. Boccaletti , R. Gutiérrez

In this work, we investigate the synchronization in oscillators with conjugate coupling in which oscillators interact via dissimilar variables. The synchronous dynamics and its stability are investigated theoretically and numerically. We…

Chaotic Dynamics · Physics 2016-10-05 Wenchen Han , Mei Zhang , Junzhong Yang

Oscillatory activity is ubiquitous in natural and engineered network systems. The interaction scheme underlying interdependent oscillatory components governs the emergence of network-wide patterns of synchrony that regulate and enable…

Adaptation and Self-Organizing Systems · Physics 2022-08-12 Tommaso Menara , Giacomo Baggio , Danielle S. Bassett , Fabio Pasqualetti

We examine microscopic mechanisms for coupling stochastic oscillators so that they display similar and correlated temporal variations. Unlike oscillatory motion in deterministic dynamical systems, complete synchronization of stochastic…

Quantitative Methods · Quantitative Biology 2009-09-29 Amitabha Nandi , G. Santhosh , R. K. Brojen Singh , Ram Ramaswamy

We study synchronization in a two-node network built out of the smallest possible self-sustained oscillator: a spin 1. We first demonstrate that phase locking between the quantum oscillators can be achieved, even for limit cycles that…

Quantum Physics · Physics 2018-08-09 Alexandre Roulet , Christoph Bruder

Radiofrequency vortex spin-transfer oscillators based on magnetic tunnel junctions with very low resistance area product were investigated. A high power of excitations has been obtained characterized by a power spectral density containing a…

Mesoscale and Nanoscale Physics · Physics 2013-06-25 S. Martin , N. de Mestier , C. Thirion , C. Hoarau , Y. Conraux , C. Baraduc , B. Diény

We study optimal synchronization in networks of heterogeneous phase oscillators. Our main result is the derivation of a synchrony alignment function that encodes the interplay between network structure and oscillators' frequencies and can…

Adaptation and Self-Organizing Systems · Physics 2014-10-21 Per Sebastian Skardal , Dane Taylor , Jie Sun

Manipulating operation states of coupled spin-torque nano-oscillators (STNOs), including their synchronization, is essential for applications such as complex oscillator networks. In this work we experimentally demonstrate selective control…

Mesoscale and Nanoscale Physics · Physics 2018-01-11 Yi Li , Xavier de Milly , Olivier Klein , Vincent Cros , Julie Grollier , Grégoire de Loubens

We explore a case example of networks of classical electronic oscillators evolving towards the solution of complex optimization problems. We show that when driven into subharmonic response, a network of such nonlinear electrical resonators…

Pattern Formation and Solitons · Physics 2022-04-04 L. Q. English , A. V. Zampetaki , K. P. Kalinin , N. G. Berloff , P. G. Kevrekidis

The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator…

Optimization and Control · Mathematics 2012-09-07 Florian Dörfler , Francesco Bullo

A network of propagating nonlinear oscillatory modes (waves) in the human brain is shown to generate collectively synchronized spiking activity (hypersynchronous spiking) when both amplitude and phase coupling between modes are taken into…

Biological Physics · Physics 2021-04-28 Vitaly L. Galinsky , Lawrence R. Frank

Networks of coupled LC oscillators that do not share a common ground node are studied. Both resistive coupling and inductive coupling are considered. For networks under resistive coupling, it is shown that the oscillator-coupler…

Dynamical Systems · Mathematics 2022-03-08 S. Emre Tuna