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In this work, we study the dynamical robustness in a system consisting of both active and inactive oscillators. We analytically show that the dynamical robustness of such system is determined by the cross link density between active and…

Adaptation and Self-Organizing Systems · Physics 2017-03-01 Wenwen Huang , Xiyun Zhang , Xin Hu , Zonghua Liu , Shuguang Guan

The interaction of distinct units in physical, social, biological and technological systems naturally gives rise to complex network structures. Networks have constantly been in the focus of research for the last decade, with considerable…

Physics and Society · Physics 2012-08-20 Tamás Nepusz , Tamás Vicsek

We follow the main stocks belonging to the New York Stock Exchange and to Nasdaq from 2003 to 2012, through years of normality and of crisis, and study the dynamics of networks built on two measures expressing relations between those…

Statistical Finance · Quantitative Finance 2014-09-02 Leonidas Sandoval Junior

Traders adopt different trading strategies to maximize their returns in financial markets. These trading strategies not only results in specific topological structures in trading networks, which connect the traders with the pairwise…

Statistical Finance · Quantitative Finance 2015-06-29 Ming-Xia Li , Zhi-Qiang Jiang , Wen-Jie Xie , Xiong Xiong , Wei Zhang , Wei-Xing Zhou

The problem of portfolio optimization is one of the most important issues in asset management. This paper proposes a new dynamic portfolio strategy based on the time-varying structures of MST networks in Chinese stock markets, where the…

Statistical Finance · Quantitative Finance 2017-04-12 Fei Ren , Ya-Nan Lu , Sai-Ping Li , Xiong-Fei Jiang , Li-Xin Zhong , Tian Qiu

A major impact of globalization has been the information flow across the financial markets rendering them vulnerable to financial contagion. Research has focused on network analysis techniques to understand the extent and nature of such…

Statistical Finance · Quantitative Finance 2019-11-15 Sayantan Banerjee , Kousik Guhathakurta

Financial market is an example of complex system, which is characterized by a highly intricate organization and the emergence of collective behavior. In this paper, we quantify this emergent dynamics in the financial market by using…

General Finance · Quantitative Finance 2011-09-07 Thomas Kauê Dal'Maso Peron , Francisco Aparecido Rodrigues

The topology of social networks can be understood as being inherently dynamic, with edges having a distinct position in time. Most characterizations of dynamic networks discretize time by converting temporal information into a sequence of…

Data Analysis, Statistics and Probability · Physics 2012-12-03 Aaron Clauset , Nathan Eagle

We study a coupled dynamics of a network and a particle system. Particles of density $\rho$ diffuse freely along edges, each of which is rewired at a rate given by a decreasing function of particle flux. We find that the coupled dynamics…

Statistical Mechanics · Physics 2008-03-24 Sang-Woo Kim , Jae Dong Noh

The stock market's reaction to the external risk shock is closely related to the cross-shareholding network structure. This paper takes the public information of listed companies in the A-share securities market as the primary sample to…

General Economics · Economics 2022-12-06 Yujue Wang

Adaptive dynamical networks appear in various real-word systems. One of the simplest phenomenological models for investigating basic properties of adaptive networks is the system of coupled phase oscillators with adaptive couplings. In this…

Adaptation and Self-Organizing Systems · Physics 2019-11-11 Rico Berner , Jan Fialkowski , Dmitry Kasatkin , Vladimir Nekorkin , Serhiy Yanchuk , Eckehard Schöll

We analyze how the transient dynamics of large dynamical systems in the vicinity of a stationary point, modeled by a set of randomly coupled linear differential equations, depends on the network topology. We characterize the transient…

Adaptation and Self-Organizing Systems · Physics 2024-01-17 Wojciech Tarnowski , Izaak Neri , Pierpaolo Vivo

In many complex systems, states and interaction structure coevolve towards a dynamic equilibrium. For the adaptive contact process, we obtain approximate expressions for the degree distributions that characterize the interaction network in…

Adaptation and Self-Organizing Systems · Physics 2015-07-01 Stefan Wieland , Ana Nunes

We study a non-linear dynamical system on networks inspired by the pitchfork bifurcation normal form. The system has several interesting interpretations: as an interconnection of several pitchfork systems, a gradient dynamical system and…

Dynamical Systems · Mathematics 2021-08-19 Karel Devriendt , Renaud Lambiotte

This paper examines the pricing of short-term and long-term dynamic network risk in the cross-section of stock returns. Stocks with high sensitivities to dynamic network risk earn lower returns. We rationalize our finding with economic…

General Finance · Quantitative Finance 2020-07-14 Jozef Barunik , Michael Ellington

The fluctuation of dynamic variables in complex networks is known to depend on the dimension and the heterogeneity of the substrate networks. Previous studies, however, have reported inconsistent results for the scaling behavior of…

Physics and Society · Physics 2018-04-11 H. -H. Yoo , D. -S. Lee

Empirical estimation of critical points at which complex systems abruptly flip from one state to another is among the remaining challenges in network science. However, due to the stochastic nature of critical transitions it is widely…

Social and Information Networks · Computer Science 2014-07-09 B. Podobnik , T. Lipic , D. Horvatic , A. Majdandzic , S. Bishop , H. E. Stanley

Evolving network models under a dynamic growth rule which comprises the addition and deletion of nodes are investigated. By adding a node with a probability $P_a$ or deleting a node with the probability $P_d=1-P_a$ at each time step, where…

Physics and Society · Physics 2011-08-09 Ke Deng , Ke Hu , Yi Tang

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…

Chaotic Dynamics · Physics 2009-11-13 Juergen Jost , Kiran M. Kolwankar

We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Stefan Bornholdt , Thimo Rohlf