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The quantification of controllability and observability has recently received new interest in the context of large, complex networks of dynamical systems. A fundamental but computationally difficult problem is the placement or selection of…

最优化与控制 · 数学 2016-11-15 Fabrizio L. Cortesi , Tyler H. Summers , John Lygeros

Complex networks have recently attracted much interest due to their prevalence in nature and our daily lives [1, 2]. A critical property of a network is its resilience to random breakdown and failure [3-6], typically studied as a…

物理与社会 · 物理学 2016-01-08 James P. Bagrow , Sune Lehmann , Yong-Yeol Ahn

Dynamical properties of complex networks are related to the spectral properties of the Laplacian matrix that describes the pattern of connectivity of the network. In particular we compute the synchronization time for different types of…

适应与自组织系统 · 物理学 2009-11-13 Juan A. Almendral , Albert Díaz-Guilera

We consider a model of contagion in financial networks recently introduced in the literature, and we characterize the effect of a few features empirically observed in real networks on the stability of the system. Notably, we consider the…

综合金融 · 定量金融 2011-09-07 Fabio Caccioli , Thomas A. Catanach , J. Doyne Farmer

Just as a herd of animals relies on its robust social structure to survive in the wild, similarly robustness is a crucial characteristic for the survival of a complex network under attack. The capacity to measure robustness in complex…

网络与互联网体系结构 · 计算机科学 2008-11-27 Ali Sydney , Caterina Scoglio , Phillip Schumm , Robert Kooij

Network science have constantly been in the focus of research for the last decade, with considerable advances in the controllability of their structural. However, much less effort has been devoted to study that how to improve the…

系统与控制 · 计算机科学 2016-10-12 Jiuqiang Xu , Jinfa Wang , Hai Zhao , Siyuan Jia

This paper reviews the main network analysis methods used to measure structural power, which refers to the ability to shape outcomes through network position and influence, and the ability to affect others through network connections. These…

Controllability and observability have long been recognized as fundamental structural properties of dynamical systems, but have recently seen renewed interest in the context of large, complex networks of dynamical systems. A basic problem…

最优化与控制 · 数学 2016-11-18 Tyler H. Summers , Fabrizio L. Cortesi , John Lygeros

This paper leverages linear systems theory to propose a principled measure of complexity for network systems. We focus on a network of first-order scalar linear systems interconnected through a directed graph. By locally filtering out the…

系统与控制 · 电气工程与系统科学 2025-07-10 Giacomo Baggio , Marco Fabris

A key issue in complex systems regards the relationship between topology and dynamics. In this work, we use a recently introduced network property known as steering coefficient as a means to approach this issue with respect to different…

物理与社会 · 物理学 2017-11-27 Paulo J. P. de Souza , Cesar H. Comin , Luciano da F. Costa

We study the effect of learning dynamics on network topology. A network of discrete dynamical systems is considered for this purpose and the coupling strengths are made to evolve according to a temporal learning rule that is based on the…

混沌动力学 · 物理学 2009-11-13 Juergen Jost , Kiran M. Kolwankar

The theory of complex networks and of disordered systems is used to study the stability and dynamical properties of a simple model of material flow networks defined on random graphs. In particular we address instabilities that are…

无序系统与神经网络 · 物理学 2009-11-13 Kartik Anand , Tobias Galla

The numerical controllability transition makes the success of control can be achieved by increasing the number of driver nodes to a certain point. Motivated by the fact that the degree correlation has vast role in the dynamics on networks,…

物理与社会 · 物理学 2014-11-12 Sen Nie , Xuwen Wang , Binghong Wang

Network science has experienced unprecedented rapid development in the past two decades. The network perspective has also been widely applied to explore various complex systems in great depth. In the first decade, fundamental…

物理与社会 · 物理学 2020-01-13 Aming Li , Yang-Yu Liu

In this paper, the strong structural controllability of the network is analyzed. Based on the unified definition of equitable partition for kinds of scene, the upper bound of the strong structural controllable subspace in different…

最优化与控制 · 数学 2022-04-27 Lanhao Zhao

We derive an exact representation of the topological effect on the dynamics of sequence processing neural networks within signal-to-noise analysis. A new network structure parameter, loopiness coefficient, is introduced to quantitatively…

无序系统与神经网络 · 物理学 2008-05-11 Pan Zhang , Yong Chen

The ability of groups to make accurate collective decisions depends on a complex interplay of various factors, such as prior information, biases, social influence, and the structure of the interaction network. Here, we investigate a spin…

物理与社会 · 物理学 2025-03-20 Yunus Sevinchan , Petro Sarkanych , Abi Tenenbaum , Yurij Holovatch , Pawel Romanczuk

The rapid diffusion of information and the adoption of social behaviors are of critical importance in situations as diverse as collective actions, pandemic prevention, or advertising and marketing. Although the dynamics of large cascades…

物理与社会 · 物理学 2020-12-30 Hao Peng , Azadeh Nematzadeh , Daniel M. Romero , Emilio Ferrara

Signed networks have been a topic of recent interest in the network control community as they allow studying antagonistic interactions in multi-agent systems. Although dynamical characteristics of signed networks have been well-studied,…

最优化与控制 · 数学 2017-07-13 Siavash Alemzadeh , Mathias Hudoba de Badyn , Mehran Mesbahi

In this work, water distribution systems are regarded as large sparse planar graphs with complex network characteristics and the relationship between important topological features of the network (i.e. structural robustness and loop…

物理与社会 · 物理学 2010-09-23 A. Yazdani , P. Jeffrey