The synchronized dynamics of time-varying networks

By Dibakar Ghosh, M. Frasca, A. Rizzo, S. Majhi, Sarbendu Rakshit, K. Alfaro-Bittner, Stefano Boccaletti. Physics reports, 2021

162 citations recorded by the source corpus.

Over the past two decades, complex network theory provided the ideal framework for investigating the intimate relationships between the topological properties characterizing the wiring of connections among a system's unitary components and its emergent synchronized functioning. An increased number of setups from the real world found therefore a representation in term of graphs, while more and more sophisticated methods were developed with the aim of furnishing a realistic description of the connectivity patterns under study. In particular, a significant number of systems in physics, biology and social science features a time-varying nature of the interactions among their units. We here give a comprehensive review of the major results obtained by contemporary studies on the emergence of synchronization in time-varying networks. In particular, two paradigmatic frameworks will be described in details. The first encompasses those systems where the time dependence of the nodes' connections is due to adaptation, external forces, or any other process affecting each of the links of the network. The second framework, instead, corresponds to the case in which the structural evolution of the graph is due to the movement of the nodes, or agents, in physical spaces and to the fact that interactions may be ruled by space-dependent laws in a way that connections are continuously switched on and off in the course of the time. Finally, our report ends with a short discussion on promising directions and open problems for future studies.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ef77b53c24c5fd223034b25d72e6cd2310cb96ad

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Matjaz Perc
2. Selim Yannier

In Statistical and Nonlinear Physics

1. S. Majhi
2. Dibakar Ghosh
3. Matjaz Perc
4. Attila Szolnoki
5. Selim Yannier

Citations in the corpus

• Dynamics on higher-order networks: a review (2022, background): “Further, time-varying networks [6,7] are investigated in which interactions do not persist for all the course of time, rather they arise or vanish over time.”