Synchronization in time-varying random networks with vanishing connectivity

  title={Synchronization in time-varying random networks with vanishing connectivity},
  author={Marco Faggian and Francesco Ginelli and Fernando E. Rosas and Zoran Levnajic},
  journal={Scientific Reports},
A sufficiently connected topology linking the constituent units of a complex system is usually seen as a prerequisite for the emergence of collective phenomena such as synchronization. We present a random network of heterogeneous phase oscillators in which the links mediating the interactions are constantly rearranged with a characteristic timescale and, possibly, an extremely low instantaneous connectivity. We show that with strong coupling and sufficiently fast rewiring the network reaches… 

Path-dependent dynamics induced by rewiring networks of inertial oscillators.

The effects of time-evolving network topology on coupled Kuramoto oscillators with inertia are studied, showing that hysteretic synchronization behavior occurs when the network density of coupled inertial oscillators is slowly varied as the dynamics evolve and that certain fixed-density rewiring schemes induce significant changes to the level of global synchrony.

The Kuramoto model on dynamic random graphs

A Kuramoto model of coupled oscillators on a time-varying graph, whose dynamics is dictated by a Markov process in the space of graphs, is proposed and a synchronization result for solutions starting from a phase-cohesive set independent of the speed of the random walkers is proved.

Network rewiring and plasticity promotes synchronization of suprachiasmatic nucleus neurons.

A temporal SCN network model is proposed and the effects of dynamical rewiring and flexible coupling due to synaptic plasticity on the synchronization of the neural network in SCN are investigated to suggest that a proper network model for the master SCN circadian rhythm needs to take into account the effectsof dynamical changes in topology and plasticity in neuron interactions.

Decentralized targeting control of collinear agents

In this paper, we deal with the decentralized targeting control problem of collinear agents in three‐dimensional space. Here the direction half‐lines associated with these agents are not coplanar on

Large-scale decrease in the social salience of climate change during the COVID-19 pandemic

There are concerns that climate change attention is waning as competing global threats intensify. To investigate this possibility, we analyzed all link shares and reshares on Meta’s Facebook platform

Using word embeddings to improve the discriminability of co-occurrence text networks

This work investigates whether the use of word embeddings as a tool to create virtual links in co-occurrence networks may improve the quality of classification systems and suggests that it could be extended to study other natural language processing tasks.



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.

Synchronization of mobile chaotic oscillator networks.

The results imply that the fluctuations of the finite-time transverse Lyapunov exponent should also be taken into account to estimate synchronization of the mobile contact networks, irrespective of the details of the oscillator dynamics.

Synchronization in networks of mobile oscillators.

The results show that the tradeoff between these two timescales, which have opposite effects on synchronization, should be taken into account for the design of mobile device networks.

Fundamental structures of dynamic social networks

It is shown that at the right temporal resolution, social groups can be identified directly in the dynamic social network of a densely-connected population of ∼1,000 individuals, as well as their telecommunication networks, online social media contacts, geolocation, and demographic data.

Synchronization in On-Off Stochastic Networks: Windows of Opportunity

A recently developed general theory of blinking systems is applied to prove global stability of synchronization in the fast switching limit and a network of Lorenz systems is used to derive explicit probabilistic bounds on the switching frequency sufficient for the network to synchronize almost surely and globally.

Synchronization Thresholds in an Ensemble of Kuramoto Phase Oscillators with Randomly Blinking Couplings

We consider a network of Kuramoto phase oscillators with randomly blinking couplings. Applicability of the averaging method for small switching intervals is rigorously substantiated. Using this