Synchronization in time-varying random networks with vanishing connectivity

@article{Faggian2018SynchronizationIT,
  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},
  year={2018},
  volume={9}
}
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… 

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References

SHOWING 1-10 OF 41 REFERENCES

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