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Symmetries are an essential feature of complex networks as they regulate how the graph collective dynamics organizes into clustered states. We here show how to control network symmetries, and how to enforce patterned states of…

物理与社会 · 物理学 2020-11-24 L. V. Gambuzza , M. Frasca , F. Sorrentino , L. M. Pecora , S. Boccaletti

This work introduces a methodology for studying synchronization in adaptive networks with heterogeneous plasticity (adaptation) rules. As a paradigmatic model, we consider a network of adaptively coupled phase oscillators with…

动力系统 · 数学 2021-06-25 Rico Berner , Serhiy Yanchuk

A reflection of our ultimate understanding of a complex system is our ability to control its behavior. Typically, control has multiple prerequisites: It requires an accurate map of the network that governs the interactions between the…

系统与控制 · 计算机科学 2016-09-21 Yang-Yu Liu , Albert-Laszló Barabási

We investigate the stability of synchronization in networks of dynamical systems with strongly delayed connections. We obtain strict conditions for synchronization of periodic and equilibrium solutions. In particular, we show the existence…

动力系统 · 数学 2017-11-10 Daniel M. N. Maia , Elbert E. N. Macau , Tiago Pereira , Serhiy Yanchuk

In this paper we study synchronized motions in complex networks in which there are distinct groups of nodes where the dynamical systems on each node within a group are the same but are different for nodes in different groups. Both…

无序系统与神经网络 · 物理学 2009-11-13 Francesco Sorrentino , Edward Ott

The stability analysis of synchronization in time-varying higher-order networked structures (simplicial complexes) is one of the challenging problem due to the presence of time-varying group interactions. In this context, most of the…

适应与自组织系统 · 物理学 2023-08-11 Md Sayeed Anwar , Dibakar Ghosh

In this paper, we establish a few new synchronization conditions for complex networks with nonlinear and nonidentical self-dynamics with switching directed communication graphs. In light of the recent works on distributed sub-gradient…

系统与控制 · 计算机科学 2015-10-19 Guodong Shi , Alexandre Proutiere , Karl Henrik Johansson

This paper investigates the autonomous synchronization problem for discrete-time heterogeneous multiagent systems. The synchronization problem is transformed into the asymptotic decoupling problem of stable modes in a class of discrete-time…

多智能体系统 · 计算机科学 2026-05-07 Wei Hu , Quanyi Liang

Recently, evolving networks are becoming a suitable form to model many real-world complex systems, due to their peculiarities to represent the systems and their constituting entities, the interactions between the entities and the…

人工智能 · 计算机科学 2017-09-21 Angelo Impedovo , Corrado Loglisci , Michelangelo Ceci

Synchronization is one of the paradigmatic phenomena in the study of complex systems. It has been explored theoretically and experimentally mostly to understand natural phenomena, but also in view of technological applications. Although…

We study the effects of nonzero time delays in stochastic synchronization problems with linear couplings in complex networks. We consider two types of time delays: transmission delays between interacting nodes and local delays at each node…

统计力学 · 物理学 2012-12-03 D. Hunt , B. K. Szymanski , G. Korniss

The process of pattern formation for a multi-species model anchored on a time varying network is studied. A non homogeneous perturbation superposed to an homogeneous stable fixed point can amplify, as follows a novel mechanism of…

统计力学 · 物理学 2017-10-11 Julien Petit , Ben Lauwens , Duccio Fanelli , Timoteo Carletti

We study experimentally the synchronization patterns in time-delayed directed Boolean networks of excitable systems. We observe a transition in the network dynamics when the refractory time of the individual systems is adjusted. When the…

适应与自组织系统 · 物理学 2013-03-07 David P. Rosin , Damien Rontani , Daniel J. Gauthier , Eckehard Schöll

Temporal dynamics, characterised by time-varying degree heterogeneity and homophily effects, are often exhibited in many real-world networks. As observed in an MIT Social Evolution study, the in-degree and out-degree of the nodes show…

统计方法学 · 统计学 2025-07-29 Yuguo Chen , Lianqiang Qu , Jinfeng Xu , Ting Yan , Yunpeng Zhou

We consider the External Clock Synchronization problem in dynamic sensor networks. Initially, sensors obtain inaccurate estimations of an external time reference and subsequently collaborate in order to synchronize their internal clocks…

分布式、并行与集群计算 · 计算机科学 2015-08-11 Ofer Feinerman , Amos Korman

In this thesis we contribute to the understanding of the pivotal role of the temporal dimension in networked social systems, previously neglected and now uncovered by the data revolution recently blossomed in this field. To this aim, we…

物理与社会 · 物理学 2016-08-15 Michele Starnini

The identification and modeling of time-varying systems is a fundamental challenge in signal processing and system identification. To address this challenge, we propose a class of time-varying state-space model (SSM) based neural networks…

机器学习 · 计算机科学 2026-05-18 Sanja Karilanova , Subhrakanti Dey , Ayça Özçelikkale

We analyze the dynamics of networks of spiking neural oscillators. First, we present an exact linear stability theory of the synchronous state for networks of arbitrary connectivity. For general neuron rise functions, stability is…

神经元与认知 · 定量生物学 2009-11-11 Marc Timme , Theo Geisel , Fred Wolf

The ability to achieve coordinated behavior --engineered or emergent-- on networked systems has attracted widespread interest over several fields. This has led to remarkable advances on the development of a theoretical understanding of the…

系统与控制 · 计算机科学 2019-09-16 Hancheng Min , Enrique Mallada

We explore the interplay of network structure, topology, and dynamic interactions between nodes using the paradigm of distributed synchronization in a network of coupled oscillators. As the network evolves to a global steady state,…

无序系统与神经网络 · 物理学 2015-06-04 Kristina Lerman , Rumi Ghosh