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We study the transition from incoherence to coherence in large networks of coupled phase oscillators. We present various approximations that describe the behavior of an appropriately defined order parameter past the transition, and…

无序系统与神经网络 · 物理学 2009-11-10 Juan G. Restrepo , Brian R. Hunt , Edward Ott

We aim to increase the ability of a of coupled phase oscillators to maintain the synchronization when the system is affected by stochastic disturbances. We model the disturbances by Gaussian noise and use the mean first hitting time when…

适应与自组织系统 · 物理学 2023-04-26 Xian Wu , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H. van Schuppen

Cluster synchronization is a phenomenon in which oscillators in a given network are partitioned into synchronous clusters. As recently shown, diverse cluster synchronization patterns can be found using network symmetry when the oscillators…

混沌动力学 · 物理学 2019-05-24 Young Sul Cho

We study synchronization dynamics in networks of coupled oscillators with bimodal distribution of natural frequencies. This setup can be interpreted as a simple model of frequency synchronization dynamics among generators and loads working…

物理与社会 · 物理学 2012-07-03 Sergi Lozano , Lubos Buzna , Albert Díaz-Guilera

Synchronization of neurons forming a network with a hierarchical structure is essential for the brain to be able to function optimally. In this paper we study synchronization of phase oscillators on the most basic example of such a network,…

无序系统与神经网络 · 物理学 2019-07-29 Diego Garlaschelli , Frank den Hollander , Janusz Meylahn , Benthen Zeegers

Based on recent advances in fibration symmetry theory, we investigate how structural symmetries influence synchronization in systems with higher-order interactions (HOI). Using bipartite graph representations, we identify a node partition…

动力系统 · 数学 2026-01-12 Margherita Bertè , Tommaso Gili

Carrier frequency and timing synchronization play the fundamental roles in cooperative integrating communication and sensing (ISAC). To mitigate the effects of synchronization error, this paper develops a novel synchronization scheme in…

信号处理 · 电气工程与系统科学 2025-02-03 Qihao Peng , Hong Ren , Zhendong Peng , Cunhua Pan , Maged Elkashlan , Dongming Wang , Jiangzhou Wang , Xiaohu You

We study the interplay between network topology and complex space-time patterns and introduce a concept to analytically predict complex patterns in networks of Stuart-Landau oscillators with linear symmetric and instantaneous coupling based…

适应与自组织系统 · 物理学 2015-02-19 Winnie Poel , Anna Zakharova , Eckehard Schöll

We present an adaptive coupling strategy to induce hysteresis/explosive synchronization (ES) in complex networks of phase oscillators Sakaguchi-Kuramoto model). The coupling strategy ensures explosive synchronization with significant…

适应与自组织系统 · 物理学 2021-04-15 Pitambar Khanra , Prosenjit Kundu , Pinaki Pal , Peng Ji , Chittaranjan Hens

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

The inevitable random frequency differences among semiconductor lasers present an obstacle to achieving their collective coherence, but previous worked showed that fully (all-to-all) coupled networks can still be synchronized even in the…

光学 · 物理学 2025-11-06 Li-Li Ye , Nathan Vigne , Fan-Yi Lin , Hui Cao , Ying-Cheng Lai

We consider networks of coupled stochastic oscillators. When coupled we find strong collective oscillations, while each unit remains stochastic. In the limit (N\to \infty) we derive a system of integro-delay equations and show analytically…

统计力学 · 物理学 2007-05-23 B. Naundorf , T. Prager , L. Schimansky-Geier

We introduce the concept of synchronization bombs as large networks of coupled heterogeneous oscillators that operate in a bistable regime and abruptly transit from incoherence to phase-locking (or vice-versa) by adding (or removing) one or…

In networks of identical linear oscillators (e.g. pendulums undergoing small vibrations) coupled through both dissipative connectors (e.g. dampers) and restorative connectors (e.g. springs) the relation between asymptotic synchronization…

动力系统 · 数学 2019-12-30 S. Emre Tuna

We study the emergence of synchronization in scale-free networks by considering the Kuramoto model of coupled phase oscillators. The natural frequencies of oscillators are assumed to be correlated with their degrees and a time delay is…

统计力学 · 物理学 2012-03-07 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

We modify the Kuramoto model for synchronization on complex networks by introducing a gauge term that depends on the edge betweenness centrality (BC). The gauge term introduces additional phase difference between two vertices from 0 to…

无序系统与神经网络 · 物理学 2009-11-13 E. OH , C. Choi , B. Kahng , D. Kim

Synchronization is an ubiquitous phenomenon in dynamical systems of networked oscillators. While it is often a goal to achieve, in some context one would like to decrease it, e.g., although synchronization is essential to the good…

动力系统 · 数学 2025-04-07 Martin Moriamé , Timoteo Carletti

The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing…

最优化与控制 · 数学 2015-06-05 Florian Dörfler , Michael Chertkov , Francesco Bullo

Time synchronization is an important aspect of sensor network operation. However, it is well known that synchronization error accumulates over multiple hops. This presents a challenge for large-scale, multi-hop sensor networks with a large…

网络与互联网体系结构 · 计算机科学 2007-07-13 An-swol Hu , Sergio D. Servetto

A universal approach is proposed for suppression of collective synchrony in a large population of interacting rhythmic units. We demonstrate that provided that the internal coupling is weak, stabilization of overall oscillations with…

适应与自组织系统 · 物理学 2011-11-08 Ming Luo , Yongjun Wu