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What can we learn from the collective dynamics of a complex network about its interaction topology? Taking the perspective from nonlinear dynamics, we briefly review recent progress on how to infer structural connectivity (direct…

适应与自组织系统 · 物理学 2014-08-14 Marc Timme , Jose Casadiego

Inferring network topology from dynamical observations is a fundamental problem pervading research on complex systems. Here, we present a simple, direct method to infer the structural connection topology of a network, given an observation…

混沌动力学 · 物理学 2015-05-19 Srinivas Gorur Shandilya , Marc Timme

The topology of interactions in network dynamical systems fundamentally underlies their function. Accelerating technological progress creates massively available data about collective nonlinear dynamics in physical, biological, and…

物理与社会 · 物理学 2018-03-28 Jose Casadiego , Mor Nitzan , Sarah Hallerberg , Marc Timme

Dynamic networks consist of interconnected dynamical systems. The subsystems can be viewed as transformations of input signals into output signals, where signals flow from one system into another through interconnections. The signal flows…

系统与控制 · 电气工程与系统科学 2026-04-17 E. M. M. , Kivits , Paul M. J. Van den Hof

Data-based inference of directed interactions in complex dynamical systems is a problem common to many disciplines of science. In this work, we study networks of spatially separate dynamical entities, which could represent physical systems…

统计力学 · 物理学 2024-03-15 Tim Hempel , Sarah A. M. Loos

The dynamics of systems of interacting agents is determined by the structure of their coupling network. The knowledge of the latter is, therefore, highly desirable, for instance, to develop efficient control schemes, to accurately predict…

适应与自组织系统 · 物理学 2021-10-13 Melvyn Tyloo , Robin Delabays , Philippe Jacquod

Over the last two decades, network science has greatly advanced our understanding of how the collective behaviors of a complex system emerge from the interactions among its basic units. Multiplex networks, i.e. networks with many layers,…

With an increasing amount of observations on the dynamics of many complex systems, it is required to reveal the underlying mechanisms behind these complex dynamics, which is fundamentally important in many scientific fields such as climate,…

神经元与认知 · 定量生物学 2025-03-19 Zhendong Yu , Haiping Huang

In a complex system, the interactions between individual agents often lead to emergent collective behavior like spontaneous synchronization, swarming, and pattern formation. The topology of the network of interactions can have a dramatic…

适应与自组织系统 · 物理学 2022-07-25 Mark J Panaggio , Maria-Veronica Ciocanel , Lauren Lazarus , Chad M Topaz , Bin Xu

Reconstructing network connectivity from the collective dynamics of a system typically requires access to its complete continuous-time evolution although these are often experimentally inaccessible. Here we propose a theory for revealing…

神经元与认知 · 定量生物学 2018-08-08 Jose Casadiego , Dimitra Maoutsa , Marc Timme

Complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through intricate networks. The ability to predict sudden changes in the…

适应与自组织系统 · 物理学 2021-07-07 Deniz Eroglu , Matteo Tanzi , Sebastian van Strien , Tiago Pereira

We present a comprehensive examination of learning methodologies employed for the structural identification of dynamical systems. These techniques are designed to elucidate emergent phenomena within intricate systems of interacting agents.…

机器学习 · 计算机科学 2024-04-08 Jinchao Feng , Ming Zhong

The information implicitly represented in the state of physical systems allows one to analyze them with analytical techniques from statistical mechanics and information theory. In the case of complex networks such techniques are inspired by…

物理与社会 · 物理学 2023-08-09 Wout Merbis , Manlio de Domenico

Understanding biological network dynamics is a fundamental issue in various scientific and engineering fields. Network theory is capable of revealing the relationship between elements and their propagation; however, for complex collective…

多智能体系统 · 计算机科学 2022-02-08 Keisuke Fujii , Naoya Takeishi , Motokazu Hojo , Yuki Inaba , Yoshinobu Kawahara

In this paper, we propose a novel approach that employs kinetic equations to describe the collective dynamics emerging from graph-mediated pairwise interactions in multi-agent systems. We formally show that for large graphs and specific…

物理与社会 · 物理学 2026-05-15 Marco Nurisso , Matteo Raviola , Andrea Tosin

A fundamental premise of statistical physics is that the particles in a physical system are interchangeable, and hence the state of each specific component is representative of the system as a whole. This assumption breaks down for complex…

物理与社会 · 物理学 2025-12-16 Neil G. MacLaren , Baruch Barzel , Naoki Masuda

We present a method to infer network connectivity from collective dynamics in networks of synchronizing phase oscillators. We study the long-term stationary response to temporally constant driving. For a given driving condition, measuring…

无序系统与神经网络 · 物理学 2009-11-11 Marc Timme

We propose a novel method of detecting directed interactions of a general dynamic network from measured data. By repeating random state variable resetting of a target node and appropriately averaging over the measurable data, the pairwise…

数据分析、统计与概率 · 物理学 2018-11-14 Rundong Shi , Changbao Deng , Shihong Wang

Networks are universally considered as complex structures of interactions of large multi-component systems. In order to determine the role that each node has inside a complex network, several centrality measures have been developed. Such…

物理与社会 · 物理学 2019-08-20 Malbor Asllani , Bruno Requiao da Cunha , Ernesto Estrada , James P. Gleeson

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

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