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The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from…

生物物理 · 物理学 2015-05-13 Sitabhra Sinha

The relationship between network topology and system dynamics has significant implications for unifying our understanding of the interplay among metabolic, gene-regulatory, and ecosystem network architecures. Here we analyze the stability…

种群与进化 · 定量生物学 2015-06-17 Cameron Smith , Raymond S. Puzio , Aviv Bergman

Although it is unambiguously agreed that structure plays a fundamental role in shaping the dynamics of complex systems, this intricate relationship still remains unclear. We investigate a general computational transformation by which we can…

无序系统与神经网络 · 物理学 2015-05-13 Jie Zhang , Changsong Zhou , Xiaoke Xu , Michael Small

We explore the interplay between the topological relevance of a neuron and its dynamical traces in experimental cultured neuronal networks. We monitor the growth and development of these networks to characterise the evolution of their…

适应与自组织系统 · 物理学 2023-07-14 A. Tlaie , L. M. Ballesteros-Esteban , I. Leyva , I. Sendina-Nadal

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

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

统计力学 · 物理学 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

统计力学 · 物理学 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

The description of the Internet topology is an important open problem, recently tackled with the introduction of scale-free networks. In this paper we focus on the topological and dynamical properties of real Internet maps in a three years…

统计力学 · 物理学 2009-11-07 Romualdo Pastor-Satorras , Alexei Vazquez , Alessandro Vespignani

The mutual influence of dynamics and structure is a central issue in complex systems. In this paper we study by simulation slow evolution of network under the feedback of a local-majority-rule opinion process. If performance-enhancing local…

物理与社会 · 物理学 2009-11-13 Zhen Shao , Haijun Zhou

Modularity structures are common in various social and biological networks. However, its dynamical origin remains an open question. In this work, we set up a dynamical model describing the evolution of a social network. Based on the…

物理与社会 · 物理学 2011-08-19 Menghui Li , Shuguang Guan , Choy-Heng Lai

The behavior of complex systems is determined not only by the topological organization of their interconnections but also by the dynamical processes taking place among their constituents. A faithful modeling of the dynamics is essential…

物理与社会 · 物理学 2015-05-20 R. Lambiotte , R. Sinatra , J. -C. Delvenne , T. S. Evans , M. Barahona , V. Latora

This chapter discusses the interplay between structure and dynamics in complex networks. Given a particular network with an endowed dynamics, our goal is to find partitions aligned with the dynamical process acting on top of the network. We…

社会与信息网络 · 计算机科学 2020-05-08 Michael T. Schaub , Jean-Charles Delvenne , Renaud Lambiotte , Mauricio Barahona

We explore the relation between the topological relevance of a node in a complex network and the individual dynamics it exhibits. When the system is weakly coupled, the effect of the coupling strength against the dynamical complexity of the…

混沌动力学 · 物理学 2019-01-16 A. Tlaie , I. Leyva , R. Sevilla-Escoboza , V. P. Vera-Avila , I. Sendiña-Nadal

Complex networks evolve and vary their structure as time goes by. In particular, the links in those networks have both a sign and a directionality. To understand their structural principles, we measure the network motifs, which are patterns…

物理与社会 · 物理学 2023-06-28 Youngjai Park , Mi Jin Lee , Seung-Woo Son

In the past few years, the discoveries of small-world and scale-free properties of many natural and artificial complex networks have stimulated significant advances in better understanding the relationship between the topology and the…

无序系统与神经网络 · 物理学 2009-09-29 Xiang Li

The sensitivity (i.e. dynamic response) of complex networked systems has not been well understood, making difficult to predict whether new macroscopic dynamic behavior will emerge even if we know exactly how individual nodes behave and how…

系统与控制 · 计算机科学 2016-10-18 Marco Tulio Angulo , Gabor Lippner , Yang-Yu Liu , Albert-László Barabási

Over the last years, a great deal of attention has been focused on complex networked systems, characterized by intricate structure and dynamics. The latter has been often represented in terms of overall statistics (e.g. average and standard…

数据分析、统计与概率 · 物理学 2011-09-15 Cesar H. Comin , João B. Bunoro , Matheus P. Viana , Luciano da F. Costa

The relation between network structure and dynamics is determinant for the behavior of complex systems in numerous domains. An important long-standing problem concerns the properties of the networks that optimize the dynamics with respect…

适应与自组织系统 · 物理学 2017-12-07 Takashi Nishikawa , Jie Sun , Adilson E. Motter

Several approaches to cognition and intelligence research rely on statistics-based models testing, namely factor analysis. In the present work we exploit the emerging dynamical systems perspective putting the focus on the role of the…

物理与社会 · 物理学 2018-03-15 Gemma Rosell-Tarragó , Emanuele Cozzo , Albert Díaz-Guilera

We investigate global stability and dynamics of large ecological networks by classical methods of the dynamical system theory, including Hamiltonian methods, and averaging. Our analysis exploits the network topological structure, namely,…

偏微分方程分析 · 数学 2015-10-05 Vladimir Kozlov , Sergey Vakulenko , Uno Wennergren
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