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Synchronization processes in populations of locally interacting elements are in the focus of intense research in physical, biological, chemical, technological and social systems. The many efforts devoted to understand synchronization…

Physics and Society · Physics 2009-09-29 Alex Arenas , Albert Diaz-Guilera , Jurgen Kurths , Yamir Moreno , Changsong Zhou

Reconfigurable optical topologies are emerging as a promising technology to improve the efficiency of datacenter networks. This paper considers the problem of scheduling opportunistic links in such reconfigurable datacenters. We study the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-16 Janardhan Kulkarni , Stefan Schmid , Paweł Schmidt

We study a way to set the natural frequency of a newly added oscillator in a growing network to enhance synchronization. Population growth is one of the typical features of many oscillator systems for which synchronization is required to…

Statistical Mechanics · Physics 2023-04-05 Jong-Min Park , Daekyung Lee , Heetae Kim

In this Rapid Communication we investigate spatially constrained networks that realize optimal synchronization properties. After arguing that spatial constraints can be imposed by limiting the amount of `wire' available to connect nodes…

Adaptation and Self-Organizing Systems · Physics 2015-05-18 Markus Brede

We investigate the synchronization features of a network of spiking neurons under a distance-dependent coupling following a power-law model. The interplay between topology and coupling strength leads to the existence of different…

Neurons and Cognition · Quantitative Biology 2020-11-11 R. C. Budzinski , K. L. Rossi , B. R. R. Boaretto , T. L. Prado , S. R. Lopes

Real-world networks in technology, engineering and biology often exhibit dynamics that cannot be adequately reproduced using network models given by smooth dynamical systems and a fixed network topology. Asynchronous networks give a…

Dynamical Systems · Mathematics 2017-02-07 Christian Bick , Michael Field

By employing a recently introduced optimization algorithm we explicitely design optimally synchronizable (unweighted) networks for any given scale-free degree distribution. We explore how the optimization process affects degree-degree…

Disordered Systems and Neural Networks · Physics 2009-11-13 Luca Donetti , Pablo I. Hurtado , Miguel A. Munoz

We investigate simplified models of computer data networks and examine how the introduction of additional random links influences the performance of these net works. In general, the impact of additional random links on the performance of…

adap-org · Physics 2023-12-18 Henryk Fuks , Anna T. Lawniczak

Complex systems in the real world can be modeled as a network of connected components. The human brain, as a network of neurons among which the interactions cause perception, is a complex network. Synchronization is a dynamical phenomenon…

Biological Physics · Physics 2019-04-30 Arefeh Mazarei , Mohammad Amirian Matlob , Gholamhossein Riazi , Yousef Jamali

Adaptive network is a powerful presentation to describe different real-world phenomena. However, current models often neglect higher-order interactions (beyond pairwise interactions) and diverse adaptation types (cooperative and…

Adaptation and Self-Organizing Systems · Physics 2025-01-24 S. Nirmala Jenifer , Dibakar Ghosh , Paulsamy Muruganandam

By a model of coupled phase oscillators, we show analytically how synchronization in {\em non-identical} complex networks can be enhanced by introducing a proper gradient into the couplings. It is found that, by pointing the gradient from…

Chaotic Dynamics · Physics 2011-11-10 Xingang Wang , Shuguang Guan , Ying-Cheng Lai , Choy Heng Lai

This work studies how to preemptively increase the resilience of a network by means of time-varying topological actuation. To do this, we focus on linear dynamical systems that are compatible with a given network, and consider policies that…

Optimization and Control · Mathematics 2026-02-24 Fei Chen , Jorge Cortés , Sonia Martínez

Cycles are ubiquitous in various networks such as social, biological, and technological systems, where they play a significant functional and dynamical role. This paper proposes a node similarity measure based on minimal simple cycles,…

Physics and Society · Physics 2026-01-30 Bo Yang

A common feature of biological networks is the geometric property of self-similarity. Molecular regulatory networks through to circulatory systems, nervous systems, social systems and ecological trophic networks, show self-similar…

Molecular Networks · Quantitative Biology 2012-03-09 Simon DeDeo , David C. Krakauer

Adaptive networks change their connectivity with time, depending on their dynamical state. While synchronization in structurally static networks has been studied extensively, this problem is much more challenging for adaptive networks. In…

Adaptation and Self-Organizing Systems · Physics 2021-01-20 Rico Berner , Simon Vock , Eckehard Schöll , Serhiy Yanchuk

We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alex Arenas , Albert Diaz-Guilera , Conrad J. Perez-Vicente

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…

Networking and Internet Architecture · Computer Science 2009-11-13 Zhisheng Duan , Chao Liu , Guanrong Chen

Dynamics on networks are often characterized by the second smallest eigenvalue of the Laplacian matrix of the network, which is called the spectral gap. Examples include the threshold coupling strength for synchronization and the relaxation…

Disordered Systems and Neural Networks · Physics 2010-11-01 Takamitsu Watanabe , Naoki Masuda

Temporal network link prediction is an important task in the field of network science, and has a wide range of applications in practical scenarios. Revealing the evolutionary mechanism of the network is essential for link prediction, and…

Social and Information Networks · Computer Science 2022-06-22 Ruizhi Zhang , Qiaozi Wang , Qiming Yang , Wei Wei

Synchronization phenomena on networks have attracted much attention in studies of neural, social, economic, and biological systems, yet we still lack a systematic understanding of how relative synchronizability relates to underlying network…

Social and Information Networks · Computer Science 2023-09-08 Joseph T. Lizier , Frank Bauer , Fatihcan M. Atay , Jürgen Jost