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Networks of coupled nonlinear oscillators have been used to model circadian rhythms, flashing fireflies, Josephson junction arrays, high-voltage electric grids, and many other kinds of self-organizing systems. Recently, several authors have…

动力系统 · 数学 2025-10-07 Shriya V. Nagpal , Gokul G. Nair , Steven H. Strogatz , Francesca Parise

We derive variational equations to analyze the stability of synchronization for coupled near-identical oscillators. To study the effect of parameter mismatch on the stability in a general fashion, we define master stability equations and…

混沌动力学 · 物理学 2015-05-13 Jie Sun , Erik M. Bollt , Takashi Nishikawa

We consider the problem of synchronizing two electric power generators, one of which (the leader) is serving a time-varying electrical load, so that they can ultimately be connected to form a single power system. Each generator is described…

系统与控制 · 电气工程与系统科学 2019-09-11 Olaoluwapo Ajala , Alejandro Dominguez-Garcia , Daniel Liberzon

Integration of large-scale renewable energy sources and increasing uncertainty has drastically changed the dynamics of power system and has consequently brought various challenges. Rapid transient stability assessment of modern power system…

系统与控制 · 电气工程与系统科学 2022-06-15 Umair Shahzad

This paper proposes to analyze the motion stability of synchro-nous generator power systems using a Lagrangian model derived in the configuration space of generalized position and speed. In the first place, a Lagrangian model of synchronous…

系统与控制 · 电气工程与系统科学 2024-12-23 Feng Ji , Lu Gao , Chang Lin , Yang Liu

We provide a rigorous solution to the problem of constructing a structural evolution for a network of coupled identical dynamical units that switches between specified topologies without constraints on their structure. The evolution of the…

物理与社会 · 物理学 2016-01-20 Charo I. del Genio , Miguel Romance , Regino Criado , Stefano Boccaletti

To address challenges in improving self-consumption of renewables and resilience in local residential power systems, the earlier work of the authors introduced a novel multi-energy management concept, integrating bidirectional power routing…

系统与控制 · 电气工程与系统科学 2025-07-01 Shiu Mochiyama , Ryo Takahashi , Yoshihiko Susuki

Load side participation can provide support to the power network by appropriately adapting the demand when required. In addition, it enables an economically improved power allocation. In this study, we consider the problem of providing an…

最优化与控制 · 数学 2021-05-10 Andreas Kasis , Stelios Timotheou , Marios Polycarpou

We reply to the recent note "Comment on Synchronization dynamics in non-normal networks: the trade-off for optimality", showing that the authors base their claims mainly on general theoretical arguments that do not necessarily invalidate…

适应与自组织系统 · 物理学 2022-06-20 Riccardo Muolo , Timoteo Carletti , James P. Gleeson , Malbor Asllani

Electrical power grids are vulnerable to cascading failures that can lead to large blackouts. Detection and prevention of cascading failures in power grids is impor- tant. Currently, grid operators mainly monitor the state (loading level)…

物理与社会 · 物理学 2015-07-20 Martijn Warnier , Stefan Dulman , Yakup Koç , Eric Pauwels

We analyze the stability of synchronized state for coupled nearly identical dynamical systems on networks by deriving an approximate Master Stability Function (MSF). Using this MSF we treat the problem of designing a network having the best…

混沌动力学 · 物理学 2014-04-01 Suman Acharyya , R. E. Amritkar

Network remodeling, or adaptation, in the presence of periodically driven forcings has hereto remained largely unexplored, despite the fact that a broad class of biological transport networks, e.g. animal vasculature, depends on periodic…

适应与自组织系统 · 物理学 2026-01-01 Purba Chatterjee , Eleni Katifori

Inter-layer synchronization is a dynamical state occurring in multi-layer networks composed of identical nodes. The state corresponds to have all layers synchronized, with nodes in each layer which do not necessarily evolve in unison. So…

适应与自组织系统 · 物理学 2016-10-06 I. Leyva , R. Sevilla-Escoboza , I. Sendiña-Nadal , R. Gutiérrez , J. M. Buldú , S. Boccaletti

Finding conditions that support synchronization is a fertile and active area of research with applications across multiple disciplines. Here we present and analyze a scheme for synchronizing chaotic dynamical systems by transiently…

混沌动力学 · 物理学 2015-08-27 Malte Schröder , Manu Mannattil , Debabrata Dutta , Sagar Chakraborty , Marc Timme

We analyse a collection of empirical networks in a wide spectrum of disciplines and show that strong non-normality is ubiquitous in network science. Dynamical processes evolving on non-normal networks exhibit a peculiar behaviour, as…

适应与自组织系统 · 物理学 2018-11-09 Malbor Asllani , Renaud Lambiotte , Timoteo Carletti

In this paper, subgraphs and complementary graphs are used to analyze the network synchronizability. Some sharp and attainable bounds are provided for the eigenratio of the network structural matrix, which characterizes the network…

网络与互联网体系结构 · 计算机科学 2009-11-13 Zhisheng Duan , Chao Liu , Guanrong Chen

Most real-world networks display not only a heterogeneous distribution of degrees, but also a heterogeneous distribution of weights in the strengths of the connections. Each of these heterogeneities alone has been shown to suppress…

无序系统与神经网络 · 物理学 2009-11-11 Adilson E. Motter , Changsong Zhou , Juergen Kurths

The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator…

最优化与控制 · 数学 2012-09-07 Florian Dörfler , Francesco Bullo

The cooperative behavior of neurons and neuronal areas associated with the synchronization behavior proves to be a fundamental neural mechanism. In addition, abnormal levels of synchronization have been related to unhealthy neural…

生物物理 · 物理学 2023-11-16 Bruno R. R. Boaretto

In this research paper novel real/complex valued recurrent Hopfield Neural Network (RHNN) is proposed. The method of synthesizing the energy landscape of such a network and the experimental investigation of dynamics of Recurrent Hopfield…

神经与进化计算 · 计算机科学 2015-02-10 Rama Garimella , Berkay Kicanaoglu , Moncef Gabbouj