18 citations · 43 across the 13 of their papers we have counts for
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nlin.AO2011
Coherence stability and effect of random natural frequencies in populations of coupled oscillators
Giambattista Giacomin, Eric Luçon, Christophe Poquet
We consider the (noisy) Kuramoto model, that is a population of N oscillators, or rotators, with mean-field interaction. Each oscillator has its own randomly chosen natural frequen…
math-ph2011
Transitions in active rotator systems: invariant hyperbolic manifold approach
Giambattista Giacomin, Khashayar Pakdaman, Xavier Pellegrin +1
Our main focus is on a general class of active rotators with mean field interactions, that is globally coupled large families of dynamical systems on the unit circle with non-trivi…