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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…

Disordered Systems and Neural Networks · Physics 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…

Adaptation and Self-Organizing Systems · Physics 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…

Chaotic Dynamics · Physics 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…

Physics and Society · Physics 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,…

Disordered Systems and Neural Networks · Physics 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…

Dynamical Systems · Mathematics 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…

Signal Processing · Electrical Eng. & Systems 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…

Adaptation and Self-Organizing Systems · Physics 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…

Adaptation and Self-Organizing Systems · Physics 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…

Pattern Formation and Solitons · Physics 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…

Optics · Physics 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…

Statistical Mechanics · Physics 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…

Dynamical Systems · Mathematics 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…

Statistical Mechanics · Physics 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…

Disordered Systems and Neural Networks · Physics 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…

Dynamical Systems · Mathematics 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…

Optimization and Control · Mathematics 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…

Networking and Internet Architecture · Computer Science 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…

Adaptation and Self-Organizing Systems · Physics 2011-11-08 Ming Luo , Yongjun Wu
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