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We investigate to what extent the degree sequence of a directed network constrains the number of driver nodes. We develop a pair of algorithms that take a directed degree sequence as input and aim to output a network with the maximum or…

物理与社会 · 物理学 2020-03-24 Abdorasoul Ghasemi , Márton Pósfai , Raissa M. D'Souza

In pinning control of complex networks, a tacit believing is that the system dynamics will be better controlled by pinning the large-degree nodes than the small-degree ones. Here, by changing the number of pinned nodes, we find that, when a…

物理与社会 · 物理学 2015-05-14 Lei Yang , Xingang Wang , Yao Li , Zhengmao Sheng

Many complex networks display strong heterogeneity in the degree (connectivity) distribution. Heterogeneity in the degree distribution often reduces the average distance between nodes but, paradoxically, may suppress synchronization in…

无序系统与神经网络 · 物理学 2007-05-23 Adilson E. Motter , Changsong Zhou , Juergen Kurths

Despite the significant advances in identifying the driver nodes and energy requiring in network control, a framework that incorporates more complicated dynamics remains challenging. Here, we consider the conformity behavior into network…

物理与社会 · 物理学 2022-01-26 Zu-Yu Qian , Cheng Yuan , Jie Zhou , Shi-Ming Chen , Sen Nie

Heterogeneity in the degree (connectivity) distribution has been shown to suppress synchronization in networks of symmetrically coupled oscillators with uniform coupling strength (unweighted coupling). Here we uncover a condition for…

无序系统与神经网络 · 物理学 2007-05-23 Adilson E. Motter , Changsong Zhou , Juergen Kurths

The problem of controllability of the dynamical state of a network is central in network theory and has wide applications ranging from network medicine to financial markets. The driver nodes of the network are the nodes that can bring the…

统计力学 · 物理学 2015-06-19 Giulia Menichetti , Luca Dall'Asta , Ginestra Bianconi

Controlling complex networks is of paramount importance in science and engineering. Despite recent efforts to improve controllability and synchronous strength, little attention has been paid to the speed of pinning synchronizability (rate…

物理与社会 · 物理学 2015-11-09 Ming-Yang Zhou , Zhao Zhuo , Hao Liao , Zhong-Qian Fu , Shi-Min Cai

The contradiction between the fact that many empirical networks possess power-law degree distribution and the finding that network of heterogeneous degree distribution is difficult to synchronize has been a paradox in the study of network…

混沌动力学 · 物理学 2007-05-23 Xingang Wang , Ying-Cheng Lai , Choy Heng Lai

The inverse problem of finding the optimal network structure for a specific type of dynamical process stands out as one of the most challenging problems in network science. Focusing on the susceptible-infected-susceptible type of dynamics…

物理与社会 · 物理学 2021-02-03 Liming Pan , Wei Wang , Lixin Tian , Ying-Cheng Lai

Vehicular Ad-hoc Networks (VANETs) serve as a critical enabler for intelligent transportation systems. However, their practical deployment faces a core governance dilemma: the network topology requires a dynamic trade-off between robustness…

系统与控制 · 电气工程与系统科学 2026-01-30 Ruixing Ren , Junhui Zhao , Xiaoke Sun , Shanjin Ni

Synchronization has been the subject of intense research during decades mainly focused on determining the structural and dynamical conditions driving a set of interacting units to a coherent state globally stable. However, little attention…

适应与自组织系统 · 物理学 2021-07-07 Christophe Letellier , Irene Sendiña-Nadal , Ludovico Minati , I. Leyva

In this paper, we first consider a pinning node selection and control gain co-design problem for complex networks. A necessary and sufficient condition for the synchronization of the pinning controlled networks at a homogeneous state is…

系统与控制 · 电气工程与系统科学 2019-09-04 Yuzhe Li , Dawei Shi , Tongwen Chen

A key problem in the study and design of complex systems is the apparent disconnection between the microscopic and the macroscopic. It is not straightforward to identify the local interactions that give rise to an observed global…

适应与自组织系统 · 物理学 2016-06-28 H. Silk , M. Homer , T. Gross

We study cascading failures in a system comprising interdependent networks/systems, in which nodes rely on other nodes both in the same system and in other systems to perform their function. The (inter-)dependence among nodes is modeled…

应用统计 · 统计学 2018-02-13 Richard J. La

Networks with a given degree distribution may be very resilient to one type of failure or attack but not to another. The goal of this work is to determine network design guidelines which maximize the robustness of networks to both random…

其他凝聚态物理 · 物理学 2009-11-10 G. Paul , T. Tanizawa , S. Havlin , H. E. Stanley

In this paper, the problem of pinning control for synchronization of complex dynamical networks is discussed. A cost function of the controlled network is defined by the feedback gain and the coupling strength of the network. An interesting…

网络与互联网体系结构 · 计算机科学 2007-10-16 Rong Li , Zhisheng Duan , Guanrong Chen

Most real-world networks display not only a heterogeneous distribution of degrees, but also a heterogeneous distribution of weights in the strengths of the connections. Each of these heterogeneities alone has been shown to suppress…

无序系统与神经网络 · 物理学 2009-11-11 Adilson E. Motter , Changsong Zhou , Juergen Kurths

In this paper, we address the finite time synchronization of a network of dynamical systems with time-varying interactions modeled using temporal networks. We synchronize a few nodes initially using external control inputs. These nodes are…

系统与控制 · 电气工程与系统科学 2024-03-15 Aandrew Baggio S , Rachel Kalpana Kalaimani

Realistic networks display not only a complex topological structure, but also a heterogeneous distribution of weights in the connection strengths. Here we study synchronization in weighted complex networks and show that the…

无序系统与神经网络 · 物理学 2007-05-23 Changsong Zhou , Adilson E. Motter , Jurgen Kurths

Network control refers to a very large and diverse set of problems including controllability of linear time-invariant dynamical systems, where the objective is to select an appropriate input to steer the network to a desired state. There…

数据结构与算法 · 计算机科学 2016-03-25 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis
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