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We study the synchronization of Kuramoto oscillators on networks where only a fraction of them is subjected to a periodic external force. When all oscillators receive the external drive the system always synchronize with the periodic force…

适应与自组织系统 · 物理学 2018-10-09 Carolina A. Moreira , Marcus A. M. de Aguiar

A recently proposed dimensional reduction approach for studying synchronization in the Kuramoto model is employed to build optimal network topologies to favor or to suppress synchronization. The approach is based in the introduction of a…

适应与自组织系统 · 物理学 2015-12-02 Rafael S. Pinto , Alberto Saa

In this work we study the synchronization of Kuramoto oscillators driven by external forces in complex modular networks. The motivation is the neuronal dynamics that takes place during information processing in the neural cortex. The neuron…

适应与自组织系统 · 物理学 2020-04-02 Carolina Arruda Moreira

Based on a local greedy numerical algorithm, we compute the topology of weighted, directed, and of unlimited extension networks of non identical Kuramoto oscillators which simultaneously satisfy 2 criteria: i) global frequency…

适应与自组织系统 · 物理学 2021-11-03 Lionel Gil

Synchronizing phase frustrated Kuramoto oscillators, a challenge that has found applications from neuronal networks to the power grid, is an eluding problem, as even small phase-lags cause the oscillators to avoid synchronization. Here we…

适应与自组织系统 · 物理学 2018-01-19 Prosenjit Kundu , Chittaranjan Hens , Baruch Barzel , Pinaki Pal

Synchronization is crucial for the correct functionality of many natural and man-made complex systems. In this work we characterize the formation of synchronization patterns in networks of Kuramoto oscillators. Specifically, we reveal…

最优化与控制 · 数学 2017-09-20 Lorenzo Tiberi , Chiara Favaretto , Mario Innocenti , Danielle S. Bassett , Fabio Pasqualetti

In this letter we discuss a method for generating synchrony-optimized coupling architectures of Kuramoto oscillators with a heterogeneous distribution of native frequencies. The method allows us to relate the properties of the coupling…

斑图形成与孤子 · 物理学 2009-11-13 Markus Brede

In a large variety of systems (biological, physical, social etc.), synchronization occurs when different oscillating objects tune their rhythm when they interact with each other. The different underlying network defining the connectivity…

适应与自组织系统 · 物理学 2023-03-07 Juliette Courson , Thanos Manos , Mathias Quoy

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

By means of numerical analysis conducted with the aid of the computer, the collective synchronization of coupled phase oscillators in the Kuramoto model in the connected regime of random networks of various sizes is studied. The oscillators…

网络与互联网体系结构 · 计算机科学 2024-11-20 Agostino Funel

In this paper we address two questions about the synchronization of coupled oscillators in the Kuramoto model with all-to-all coupling. In the first part we use some classical results in convex geometry to prove bounds on the size of the…

动力系统 · 数学 2021-08-11 Jared C. Bronski , Thomas E. Carty , Lee DeVille

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

Synchronization of an ensemble of oscillators is an emergent phenomenon present in several complex systems, ranging from social and physical to biological and technological systems. The most successful approach to describe how coherent…

适应与自组织系统 · 物理学 2016-01-19 Francisco A. Rodrigues , Thomas K. DM. Peron , Peng Ji , Jürgen Kurths

Synchronization underlies phenomena including memory and perception in the brain, coordinated motion of animal flocks, and stability of the power grid. These synchronization phenomena are often modeled through networks of phase-coupled…

系统与控制 · 计算机科学 2015-11-02 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

We propose a framework for achieving perfect synchronization in complex networks of Sakaguchi-Kuramoto oscillators in presence of higher order interactions (simplicial complexes) at a targeted point in the parameter space. It is achieved by…

物理与社会 · 物理学 2023-03-17 Sangita Dutta , Prosenjit Kundu , Pitambar Khanra , Chittaranjan Hens , Pinaki Pal

We investigate synchronization in networks of Kuramoto oscillators with inertia. More specifically, we introduce a rewiring algorithm consisting basically in a {\em hill climb} scheme in which the edges of the network are swapped in order…

适应与自组织系统 · 物理学 2016-08-01 Rafael S. Pinto , Alberto Saa

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

The understanding of synchronization ranging from natural to social systems has driven the interests of scientists from different disciplines. Here, we have investigated the synchronization dynamics of the Kuramoto dynamics departing from…

无序系统与神经网络 · 物理学 2009-09-29 Jie Ren , Huijie Yang

Synchronization is a universal phenomenon found in many non-equilibrium systems. Much recent interest in this area has overlapped with the study of complex networks, where a major focus is determining how a system's connectivity patterns…

适应与自组织系统 · 物理学 2015-08-19 Jason Hindes , Christopher R. Myers

Synchronization in coupled oscillators networks is a remarkable phenomenon of relevance in numerous fields. For Kuramoto oscillators the loss of synchronization is determined by a trade-off between coupling strength and oscillator…

最优化与控制 · 数学 2018-07-27 Saber Jafarpour , Francesco Bullo
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