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Theory of complex networks proved successful in the description of a variety of static networks ranging from biology to computer and social sciences and to economics and finance. Here we use network models to describe the evolution of a…

Physics and Society · Physics 2014-08-25 Zhen Zhu , Federica Cerina , Alessandro Chessa , Guido Caldarelli , Massimo Riccaboni

We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular…

Disordered Systems and Neural Networks · Physics 2009-11-11 Alex Arenas , Albert Diaz-Guilera , Conrad J. Perez-Vicente

To find interesting structure in networks, community detection algorithms have to take into account not only the network topology, but also dynamics of interactions between nodes. We investigate this claim using the paradigm of…

Social and Information Networks · Computer Science 2012-03-19 Rumi Ghosh , Kristina Lerman

Social media are transforming global communication and coordination and provide unprecedented opportunities for studying socio-technical domains. Here we study global dynamical patterns of communication on Twitter across many scales.…

Physics and Society · Physics 2016-02-22 Alfredo J. Morales , Vaibhav Vavilala , Rosa M. Benito , Yaneer Bar-Yam

Synchronization is a fundamental dynamical state of interacting oscillators, observed in natural biological rhythms and in the brain. Global synchronization which occurs when non-linear or chaotic oscillators placed on the nodes of a…

Statistical Mechanics · Physics 2025-10-22 Timoteo Carletti , Lorenzo Giambagli , Riccardo Muolo , Ginestra Bianconi

In this paper, we investigate the mesoscale structure of the World Trade Network. In this framework, a specific role is assumed by short and long-range interactions, and hence by the distance, between countries. Therefore, we identify…

Physics and Society · Physics 2022-04-15 Paolo Bartesaghi , Gian Paolo Clemente , Rosanna Grassi

The global stability of oscillator networks has attracted much recent attention. Ordinarily, the oscillators in such studies are motionless; their spatial degrees of freedom are either ignored (e.g. mean field models) or inactive (e.g…

Adaptation and Self-Organizing Systems · Physics 2024-10-24 Kevin P. O'Keeffe

In self-organizing networks, topology and dynamics coevolve in a continuous feedback, without exogenous driving. The World Trade Network (WTN) is one of the few empirically well documented examples of self-organizing networks: its topology…

Physics and Society · Physics 2014-01-14 Tiziano Squartini , Diego Garlaschelli

International trade has been increasingly organized in the form of global value chains (GVCs) where different stages of production are located in different countries. This recent phenomenon has substantial consequences for both trade policy…

Physics and Society · Physics 2019-02-20 Zhen Zhu , Greg Morrison , Michelangelo Puliga , Alessandro Chessa , Massimo Riccaboni

Tools of the theory of critical phenomena, namely the scaling analysis and universality, are argued to be applicable to large complex web-like network structures. Using a detailed analysis of the real data of the International Trade Network…

General Finance · Quantitative Finance 2009-11-13 K. Bhattacharya , G. Mukherjee , J. Saramaki , K. Kaski , S. S. Manna

Synchronization of networked oscillators is known to depend fundamentally on the interplay between the dynamics of the graph's units and the microscopic arrangement of the network's structure. For non identical elements, the lack of…

Adaptation and Self-Organizing Systems · Physics 2016-01-20 A. Navas , J. A. Villacorta-Atienza , I. Leyva , J. A. Almendral , I. Sendiña-Nadal , S. Boccaletti

In this paper, we investigate the statistical features of the weighted international-trade network. By finding the maximum weight spanning trees for this network we make the extraction of the truly relevant connections forming the network's…

Physics and Society · Physics 2023-07-19 Patryk Skowron , Mariusz Karpiarz , Agata Fronczak , Piotr Fronczak

The structure of many real-world systems is best captured by networks consisting of several interaction layers. Understanding how a multi-layered structure of connections affects the synchronization properties of dynamical systems evolving…

Physics and Society · Physics 2016-11-17 Charo I. del Genio , Jesús Gómez-Gardeñes , Ivan Bonamassa , Stefano Boccaletti

This paper studies the statistical properties of the web of import-export relationships among world countries using a weighted-network approach. We analyze how the distributions of the most important network statistics measuring…

Physics and Society · Physics 2009-11-13 Giorgio Fagiolo , Javier Reyes , Stefano Schiavo

In recent decades, trade between nations has constituted an important component of global Gross Domestic Product (GDP), with official estimates showing that it likely accounted for a quarter of total global production. While evidence of…

General Economics · Economics 2022-11-24 Mayank Kejriwal , Yuesheng Luo

We investigate the emergence of synchronization in a network of coupled chaotic macroeconomic systems. Each node represents an economy characterized by three key variables savings, gross domestic product (GDP), and foreign capital inflows.…

Adaptation and Self-Organizing Systems · Physics 2026-05-26 Thierry Njougouo , Fernando Fagundes Ferreira , Diego Garlaschelli

The emergence of dynamical abrupt transitions in the macroscopic state of a system is currently a subject of the utmost interest. Given a set of phase oscillators networking with a generic wiring of connections and displaying a generic…

Adaptation and Self-Organizing Systems · Physics 2014-02-14 I. Leyva , I. Sendiña-Nadal , J. A. Almendral , A. Navas , S. Olmi , S. Boccaletti

The issue of synchronization in the power grid is receiving renewed attention, as new energy sources with different dynamics enter the picture. Global metrics have been proposed to evaluate performance and analyzed under highly simplified…

Systems and Control · Computer Science 2019-05-20 Fernando Paganini , Enrique Mallada

Business cycles tend to comove across countries. However, standard models that attribute comovement to propagation of exogenous shocks struggle to generate a level of comovement that is as high as in the data. In this paper, we consider…

General Economics · Economics 2024-09-13 Marco Pangallo

We quantify the dynamical implications of the small-world phenomenon. We consider the generic synchronization of oscillator networks of arbitrary topology, and link the linear stability of the synchronous state to an algebraic condition of…

Chaotic Dynamics · Physics 2009-11-07 Mauricio Barahona , Louis M. Pecora