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SUMMARY:What networks of oscillators spontaneously synchronize?
DTSTART:20221011T161500
DTEND:20221011T171500
DTSTAMP:20260506T103322Z
UID:a08639f5f593469be10dc632caf247b7db2e59757de790a8337a651f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Alex Townsend (Cornell)\nConsider a network of identical phase
  oscillators with sinusoidal coupling. How likely are the oscillators 
 to spontaneously synchronize\, starting from random initial phases? One 
 expects that dense networks of oscillators have a strong tendency to p
 ulse in unison. But\, how dense is dense enough? In this talk\, we use tec
 hniques from numerical linear algebra\, computational algebraic geometry\,
  and Fourier analysis to derive the densest known networks that do not 
 synchronize and the sparsest ones that do. We will find that there is a c
 ritical network density above which spontaneous synchrony is guaranteed re
 gardless of the network's topology\, and prove that synchrony is omniprese
 nt for random Erdos-Renyi networks just above the connectivity threshol
 d.\n\n\n 
LOCATION:GA 3 21 https://plan.epfl.ch/?room==GA%203%2021
STATUS:CONFIRMED
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