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Amplitude dynamics favors synchronization in complex networks

Overview of attention for article published in Scientific Reports, April 2016
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  • Good Attention Score compared to outputs of the same age (70th percentile)
  • Good Attention Score compared to outputs of the same age and source (65th percentile)

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Title
Amplitude dynamics favors synchronization in complex networks
Published in
Scientific Reports, April 2016
DOI 10.1038/srep24915
Pubmed ID
Authors

Lucia Valentina Gambuzza, Jesus Gómez-Gardeñes, Mattia Frasca

Abstract

In this paper we study phase synchronization in random complex networks of coupled periodic oscillators. In particular, we show that, when amplitude dynamics is not negligible, phase synchronization may be enhanced. To illustrate this, we compare the behavior of heterogeneous units with both amplitude and phase dynamics and pure (Kuramoto) phase oscillators. We find that in small network motifs the behavior crucially depends on the topology and on the node frequency distribution. Surprisingly, the microscopic structures for which the amplitude dynamics improves synchronization are those that are statistically more abundant in random complex networks. Thus, amplitude dynamics leads to a general lowering of the synchronization threshold in arbitrary random topologies. Finally, we show that this synchronization enhancement is generic of oscillators close to Hopf bifurcations. To this aim we consider coupled FitzHugh-Nagumo units modeling neuron dynamics.

X Demographics

X Demographics

The data shown below were collected from the profiles of 7 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 52 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Japan 1 2%
United Kingdom 1 2%
France 1 2%
Brazil 1 2%
Unknown 48 92%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 15 29%
Researcher 8 15%
Student > Master 5 10%
Student > Doctoral Student 4 8%
Professor 3 6%
Other 7 13%
Unknown 10 19%
Readers by discipline Count As %
Physics and Astronomy 15 29%
Engineering 6 12%
Neuroscience 5 10%
Computer Science 3 6%
Agricultural and Biological Sciences 3 6%
Other 10 19%
Unknown 10 19%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 5. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 23 October 2016.
All research outputs
#6,164,092
of 22,865,319 outputs
Outputs from Scientific Reports
#41,740
of 123,492 outputs
Outputs of similar age
#87,151
of 298,657 outputs
Outputs of similar age from Scientific Reports
#1,067
of 3,136 outputs
Altmetric has tracked 22,865,319 research outputs across all sources so far. This one has received more attention than most of these and is in the 72nd percentile.
So far Altmetric has tracked 123,492 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 18.2. This one has gotten more attention than average, scoring higher than 65% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 298,657 tracked outputs that were published within six weeks on either side of this one in any source. This one has gotten more attention than average, scoring higher than 70% of its contemporaries.
We're also able to compare this research output to 3,136 others from the same source and published within six weeks on either side of this one. This one has gotten more attention than average, scoring higher than 65% of its contemporaries.