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We investigate the emergence of synchronization in the second-order Kuramoto model with adaptive simplicial interactions on a globally connected network. This inertial Kuramoto framework describes systems, where oscillator frequencies…

适应与自组织系统 · 物理学 2026-04-14 Priyanka Rajwani , Sarika Jalan

Maintaining the stability of synchronization state is crucial for the functioning of many natural and artificial systems. In this study, we develop methods to optimize the synchronization stability of the Kuramoto model by minimizing the…

最优化与控制 · 数学 2017-01-18 Bo Li , K. Y. Michael Wong

We study the synchronization and stability of power grids within the Kuramoto phase oscillator model with inertia with a bimodal frequency distribution representing the generators and the loads. We identify critical nodes through solitary…

适应与自组织系统 · 物理学 2019-12-18 Halgurd Taher , Simona Olmi , Eckehard Schöll

This study investigates perturbation strategies inspired by adversarial attack principles from deep learning, designed to control synchronization dynamics through strategically crafted weak perturbations. We propose a gradient-based…

适应与自组织系统 · 物理学 2025-10-07 Yasutoshi Nagahama , Kosuke Miyazato , Kazuhiro Takemoto

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

In view of highly decentralized and diversified power generation concepts, in particular with renewable energies such as wind and solar power, the analysis and control of the stability and the synchronization of power networks is an…

无序系统与神经网络 · 物理学 2018-11-14 Volker Mehrmann , Riccardo Morandin , Simona Olmi , Eckehard Schöll

In networks of coupled oscillators, it is of interest to understand how interaction topology affects synchronization. Many studies have gained key insights into this question by studying the classic Kuramoto oscillator model on static…

适应与自组织系统 · 物理学 2020-09-29 William Qian , Lia Papadopoulos , Zhixin Lu , Keith Wiley , Fabio Pasqualetti , Danielle S. Bassett

We study the synchronisation properties of the Kuramoto model of coupled phase oscillators on a general network. Here we distinguish the ability of such a system to self-synchronise from the stability of this behaviour. While…

斑图形成与孤子 · 物理学 2015-05-14 Alexander C. Kalloniatis

We present a novel interdisciplinary framework that bridges synchronization theory and multi-agent AI systems by adapting the Kuramoto model to describe the collective dynamics of heterogeneous AI agents engaged in complex task execution.…

多智能体系统 · 计算机科学 2025-08-20 Chiranjit Mitra

Many coordination phenomena are based on a synchronisation process, whose global behaviour emerges from the interactions among the individual parts. Often in Nature, such self-organising mechanism allows the system to behave as a whole and…

适应与自组织系统 · 物理学 2017-02-22 Oltiana Gjata , Malbor Asllani , Luigi Barletti , Timoteo Carletti

The expansion of inverter-connected generation facilities (i.e. wind and photovoltaics) and the removal of conventional power plants is necessary to mitigate the impacts of climate change. Whereas conventional generation with large rotating…

适应与自组织系统 · 物理学 2020-01-20 Philipp C. Böttcher , Andreas Otto , Stefan Kettemann , Carsten Agert

Motivated by recent interest for multi-agent systems and smart power grid architectures, we discuss the synchronization problem for the network-reduced model of a power system with non-trivial transfer conductances. Our key insight is to…

最优化与控制 · 数学 2011-06-28 Florian Dorfler , Francesco Bullo

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

Synchronization processes are ubiquitous despite the many connectivity patterns that complex systems can show. Usually, the emergence of synchrony is a macroscopic observable, however, the microscopic details of the system, as e.g. the…

物理与社会 · 物理学 2018-06-08 Lluis Arola-Fernandez , Albert Diaz-Guilera , Alex Arenas

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

We propose new mathematical optimization models for generating sparse dynamical graphs, or networks, that can achieve synchronization. The synchronization phenomenon is studied using the Kuramoto model, defined in terms of the adjacency…

最优化与控制 · 数学 2020-06-23 Regina S. Burachik , Alexander C. Kalloniatis , C. Yalçın Kaya

The behavior of weakly coupled self-sustained oscillators can often be well described by phase equations. Here we use the paradigm of Kuramoto phase oscillators which are coupled in a network to calculate first and second order corrections…

无序系统与神经网络 · 物理学 2009-08-25 R. Toenjes , B. Blasius

We investigate the role of inertia in the asynchronous state of a disordered Kuramoto model. We extend an iterative simulation scheme to the case of the Kuramoto model with inertia in order to determine the self-consistent fluctuation…

混沌动力学 · 物理学 2025-03-12 Yagmur Kati , Ralf Toenjes , Benjamin Lindner

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

Synchronization in networks of coupled oscillators is classically studied via the Kuramoto model, whose intrinsic nonlinearity limits analytical tractability and complicates control design. Complex-valued extensions circumvent this by…

系统与控制 · 电气工程与系统科学 2026-04-09 Lorenzo Giordano , Josep M. Olm , Mario di Bernardo
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