The synchronized dynamics of time-varying networks

  title={The synchronized dynamics of time-varying networks},
  author={Dibakar Ghosh and Mattia Frasca and Alessandro Rizzo and Soumen Majhi and Sarbendu Rakshit and Karin Alfaro-Bittner and Stefano Boccaletti},
  journal={Physics Reports},

Oscillation suppression and chimera states in time-varying networks.

How temporality in interactions can suppress oscillation and induce chimeric patterns in networked dynamical systems is delineated, from effective analytical approaches to computational aspects, which is described while addressing these two phenomena.

Dynamical robustness of complex networks subject to long-range connectivity

  • S. Majhi
  • Computer Science
    Proceedings of the Royal Society A
  • 2022
This work puts forward a prescription based upon self-feedback that can efficiently resurrect global rhythmicity of complex networks composed of active and inactive dynamical units, and thus can enhance the network robustness.

Dynamics on higher-order networks: a review

A variety of dynamical processes that have thus far been studied, including different synchronization phenomena, contagion processes, the evolution of cooperation and consensus formation, are studied.

Effects of time-varying habitat connectivity on metacommunity persistence.

Network structure or connectivity patterns are critical in determining collective dynamics among interacting species in ecosystems. Conventional research on species persistence in spatial populations

Stability analysis of intralayer synchronization in time-varying multilayer networks with generic coupling functions.

This article scrutinizes the stability of intralayer synchronous state in temporal multilayer hypernetworks, where each dynamic units in a layer communicate with others through various independent time-varying connection mechanisms.

From the origin of life to pandemics: emergent phenomena in complex systems

When a large number of similar entities interact among each other and with their environment at a low scale, unexpected outcomes at higher spatio-temporal scales might spontaneously arise. This

When switching makes impossible synchronization possible

This paper represents that blinking of determined links can lead to reaching a synchronous state for specific asynchronous networks in which the synchronization stability region is bounded.

Synchronization and different patterns in a network of diffusively coupled elegant Wang–Zhang–Bao circuits

Synchronization in coupled oscillators is of high importance in secure communication and information processing. Due to this reason, a significant number of studies have been performed to investigate

Heterogeneous Nucleation in Finite-Size Adaptive Dynamical Networks.

Phase transitions in equilibrium and nonequilibrium systems play a major role in the natural sciences. In dynamical networks, phase transitions organize qualitative changes in the collective behavior



Microdynamics in stationary complex networks

A model of dynamical networks is proposed, inspired from previous studies on firm growth, which reproduces most of the empirical observations both for the stationary statistical distributions and for the dynamical properties.

Synchronization in time-varying networks.

It is found that the time taken to reach synchronization is lowered and the stability range of the synchronized state increases considerably in dynamic networks, and so the linear stability analysis and the basin stability criterion provide complementary indicators of stability.

Emergence of structural patterns out of synchronization in networks with competitive interactions

The competition between these two adaptive principles leads to the emergence of key structural properties observed in real world networks, such as modular and scale–free structures, together with a striking enhancement of local synchronization in systems with no global order.

Activity driven modeling of time varying networks

Within this framework, highly dynamical networks can be described analytically, allowing a quantitative discussion of the biases induced by the time-aggregated representations in the analysis of dynamical processes.

Synchronization in interacting populations of heterogeneous oscillators with time-varying coupling.

This work studies a network of two large interacting heterogeneous populations of limit-cycle oscillators whose connectivity switches between two fixed arrangements at a particular frequency and shows that for sufficiently high switching frequency, this system behaves as if the connectivity were static and equal to the time average of the switching connectivity.

Statistical mechanics of complex networks

A simple model based on these two principles was able to reproduce the power-law degree distribution of real networks, indicating a heterogeneous topology in which the majority of the nodes have a small degree, but there is a significant fraction of highly connected nodes that play an important role in the connectivity of the network.

Percolation in real interdependent networks

It is demonstrated that percolation transitions in interdependent networks can be understood by decomposing these systems into uncoupled graphs, and a set of heuristic equations that takes as inputs the adjacency matrices of the layers to draw the entire phase diagram for the interconnected network is introduced.