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Synchronization of two or more self-sustained oscillators is a well-known and studied phenomenon, appearing both in natural and designed systems. In some cases, the synchronized state is undesired, and the aim is to destroy synchrony by…

Chaotic Dynamics · Physics 2024-08-14 Erik T. K. Mau , Michael Rosenblum

How do the combined effects of phase frustration, noise, and higher-order interactions govern synchronization in globally coupled heterogeneous Kuramoto oscillators? To address this question, we investigate a globally coupled network of…

Chaotic Dynamics · Physics 2025-12-12 Asutosh Anand Singh , Chandrakala Meena

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 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…

Statistical Mechanics · Physics 2023-08-21 D. S. Goldobin , A. V. Dolmatova , M. Rosenblum , A. Pikovsky

Synchronization is ubiquitous in nature, which is mathematically described by coupled oscillators. Synchronization strongly depends on the interaction network, and the network plays a crucial role in controlling the dynamics. To understand…

Adaptation and Self-Organizing Systems · Physics 2025-08-19 Akari Matsuki , Hiroshi Kori , Ryota Kobayashi

We formulate a phase-reduction method for a general class of noisy limit cycle oscillators and find that the phase equation is parametrized by the ratio between time scales of the noise correlation and amplitude relaxation of the limit…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Jun-nosuke Teramae , Hiroya Nakao , G. Bard Ermentrout

We address the exploitation of an optical parametric oscillator (OPO) in the task of mitigating, at least partially, phase noise produced by phase diffusion. In particular, we analyze two scenarios where phase diffusion is typically…

A model of two self-sustained oscillators interacting through memristive coupling is studied. Memristive coupling is realized by using a cubic memristor model. Numerical simulation is combined with theoretical analysis by means of…

Chaotic Dynamics · Physics 2019-07-16 Ivan A. Korneev , Vladimir V. Semenov , Tatiana E. Vadivasova

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

An oscillatory system can have clockwise and anticlockwise senses of rotation. We propose a general rule how to obtain counter-rotating oscillators from the definition of a dynamical system and then investigate synchronization. A type of…

Chaotic Dynamics · Physics 2015-05-28 S. K. Bhowmick , Dibakar Ghosh , Syamal K. Dana

The theoretical description of synchronization phenomena often relies on coupled units of continuous time noisy Markov chains with a small number of states in each unit. It is frequently assumed, either explicitly or implicitly, that…

Adaptation and Self-Organizing Systems · Physics 2016-12-21 Daniel Escaff , Alexandre Rosas , Raul Toral , Katja Lindenberg

Two types of phase synchronization (accordingly, two scenarios of breaking phase synchronization) between coupled stochastic oscillators are shown to exist depending on the discrepancy between the control parameters of interacting…

Chaotic Dynamics · Physics 2007-05-23 A. A. Koronovskii , M. K. Kurovskaya , O. I. Moskalenko , A. E. Hramov

Physiological networks are usually made of a large number of biological oscillators evolving on a multitude of different timescales. Phase oscillators are particularly useful in the modelling of the synchronization dynamics of such systems.…

Adaptation and Self-Organizing Systems · Physics 2026-01-27 Melvyn Tyloo

We study under which conditions systems of coupled oscillators on complex networks display remote synchronization, a situation where pairs of vertices, not necessarily physically linked, but with the same network symmetry, are synchronized.

Adaptation and Self-Organizing Systems · Physics 2016-12-05 Rafael S. Pinto

We experimentally study the synchronization of two chaotic electronic circuits whose dynamics is relayed by a third parameter-matched circuit, to which they are coupled bidirectionally in a linear chain configuration. In a wide range of…

Chaotic Dynamics · Physics 2016-08-16 Iacyel Gomes Da Silva , Javier M. Buldú , Claudio R. Mirasso , Jordi García-Ojalvo

We report on the optical and mechanical characterization of arrays of parallel micromechanical membranes. Pairs of high-tensile stress, 100 nm-thick silicon nitride membranes are assembled parallel with each other with separations ranging…

Optics · Physics 2017-05-01 Bhagya Nair , Andreas Naesby , Aurélien Dantan

Optical parametric oscillators are widely used to generate coherent light at frequencies not accessible by conventional laser gain. However, chip-based parametric oscillators operating in the visible spectrum have suffered from…

Optics · Physics 2024-06-12 Jordan R. Stone , Xiyuan Lu , Gregory Moille , Kartik Srinivasan

We report on finite-sized-induced transitions to synchrony in a population of phase oscillators coupled via a nonlinear mean field, which microscopically is equivalent to a hypernetwork organization of interactions. Using a self-consistent…

Adaptation and Self-Organizing Systems · Physics 2017-03-01 Maxim Komarov , Arkady Pikovsky

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…

Neurons and Cognition · Quantitative Biology 2017-03-10 Ehsan Bolhasani , Yousef Azizi , Alireza Valizadeh , Matjaz Perc

We introduce a prototype model for globally-coupled oscillators in which each element is given an oscillation frequency and a preferential oscillation direction (polarization), both randomly distributed. We found two collective transitions:…

Optics · Physics 2009-11-10 Alessandro Scire , Pere Colet , Maxi San Miguel