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Each complex network (or class of networks) presents specific topological features which characterize its connectivity and highly influence the dynamics of processes executed on the network. The analysis, discrimination, and synthesis of…

无序系统与神经网络 · 物理学 2009-09-29 Luciano da F. Costa , Francisco A. Rodrigues , Gonzalo Travieso , P. R. Villas Boas

We introduce the concept of network susceptibilities quantifying the response of the collective dy- namics of a network to small parameter changes. We distinguish two types of susceptibilities: vertex susceptibilities and edge…

适应与自组织系统 · 物理学 2017-02-01 Debsankha Manik , Martin Rohden , Henrik Ronellenfitsch , Xiaozhu Zhang , Sarah Hallerberg , Dirk Witthaut , Marc Timme

This paper studies the structural controllability of a class of uncertain switched linear systems, where the parameters of subsystems state matrices are either unknown or zero. The structural controllability is a generalization of the…

系统与控制 · 计算机科学 2013-08-27 Xiaomeng Liu , Hai Lin , Ben M. Chen

We study the collective dynamics of oscillator networks with phase-repulsive coupling, considering various network sizes and topologies. The notion of link frustration is introduced to characterize and quantify the network dynamical states.…

统计力学 · 物理学 2015-05-27 Zoran Levnajić

It is often claimed that the entropy of a network's degree distribution is a proxy for its robustness. Here, we clarify the link between degree distribution entropy and giant component robustness to node removal by showing that the former…

物理与社会 · 物理学 2022-09-12 Chris Jones , Karoline Wiesner

Networks are useful descriptions of the structure of many complex systems. Unsurprisingly, it is thus important to analyze the robustness of networks in many scientific disciplines. In applications in communication, logistics, finance,…

物理与社会 · 物理学 2024-09-16 Alice C. Schwarze , Jessica Jiang , Jonny Wray , Mason A. Porter

Network structure plays a critical role in functionality and performance of network systems. This paper examines structural adaptivity of diffusively coupled, directed multi-agent networks that are subject to diffusion performance. Inspired…

系统与控制 · 电气工程与系统科学 2022-08-30 Lulu Pan , Haibin Shao , Mehran Mesbahi , Dewei Li , Yugeng Xi

This paper deals with controllability of dynamical networks. It is often unfeasible or unnecessary to fully control large-scale networks, which motivates the control of a prescribed subset of agents of the network. This specific form of…

最优化与控制 · 数学 2016-08-09 Henk J. van Waarde , M. Kanat Camlibel , Harry L. Trentelman

Temporal networks are a class of time-varying networks, which change their topology according to a given time-ordered sequence of static networks (known as subsystems). This paper investigates the reachability and controllability of…

系统与控制 · 电气工程与系统科学 2024-05-27 Yuan Zhang , Yuanqing Xia , Long Wang

This work is aimed at studying realistic social control strategies for social networks based on the introduction of random information into the state of selected driver agents. Deliberately exposing selected agents to random information is…

社会与信息网络 · 计算机科学 2018-07-23 Marco Cremonini , Francesca Casamassima

Many natural, complex systems are remarkably stable thanks to an absence of feedback acting on their elements. When described as networks, these exhibit few or no cycles, and associated matrices have small leading eigenvalues. It has been…

物理与社会 · 物理学 2017-06-12 Samuel Johnson , Nick S. Jones

Disordered fibrous networks are ubiquitous in nature as major structural components of living cells and tissues. The mechanical stability of networks generally depends on the degree of connectivity: only when the average number of…

生物物理 · 物理学 2016-06-22 A. Sharma , A. J. Licup , R. Rens , M. Sheinman , K. A. Jansen , G. H. Koenderink , F. C. MacKintosh

Complex networks grow subject to structural constraints which affect their measurable properties. Assessing the effect that such constraints impose on their observables is thus a crucial aspect to be taken into account in their analysis. To…

In this paper we consider the dyadic effect introduced in complex networks when nodes are distinguished by a binary characteristic. Under these circumstances two independent parameters, namely dyadicity and heterophilicity, are able to…

组合数学 · 数学 2019-04-12 Matteo Cinelli , Giovanna Ferraro , Antonio Iovanella

In spite of a few attempts in understanding the dynamical robustness of complex networks, this extremely important subject of research is still in its dawn as compared to the other dynamical processes on networks. We hereby consider the…

适应与自组织系统 · 物理学 2022-03-24 Soumen Majhi

The extraordinary computational power of the brain may be related in part to the fact that each of the smaller neural networks that compose it can behave transiently in many different ways, depending on its inputs. Mathematically, input…

神经元与认知 · 定量生物学 2008-03-29 Léonard Gérard , Jean-Jacques Slotine

The analysis of complex networks has so far revolved mainly around the role of nodes and communities of nodes. However, the dynamics of interconnected systems is commonly focalised on edge processes, and a dual edge-centric perspective can…

物理与社会 · 物理学 2014-04-25 Michael T. Schaub , Jörg Lehmann , Sophia N. Yaliraki , Mauricio Barahona

Power grids exhibit patterns of reaction to outages similar to complex networks. Blackout sequences follow power laws, as complex systems operating near a critical point. Here, the tolerance of electric power grids to both accidental and…

物理与社会 · 物理学 2009-03-23 S. Arianos , E. Bompard , A. Carbone , F. Xue

This paper examines the structural controllability for a group of agents, called followers, connected to each other based on the consensus law under commands of multiple leaders, which are agents with superior capabilities, over a fixed…

系统与控制 · 计算机科学 2018-03-15 Milad M. Kazemi , Mohsen Zamani , Zhiyong Chen

We analyze the stability of financial investment networks, where financial institutions hold overlapping portfolios of assets. We consider the effect of portfolio diversification and heterogeneous investments using a random matrix dynamical…

风险管理 · 定量金融 2025-02-03 Preben Forer , Barak Budnick , Pierpaolo Vivo , Sabrina Aufiero , Silvia Bartolucci , Fabio Caccioli
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