180 citations · 263 across the 5 of their papers we have counts for
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nlin.AO2022★ 18 cited
Symmetry breaking yields chimeras in two small populations of Kuramoto-type oscillators
Oleksandr Burylko, Erik Andreas Martens, Christian Bick
Despite their simplicity, networks of coupled phase oscillators can give rise to intriguing collective dynamical phenomena. However, the symmetries of globally and identically coup…
nlin.AO2014★ 180 cited
Weak chimeras in minimal networks of coupled phase oscillators
Peter Ashwin, Oleksandr Burylko
We suggest a definition for a type of chimera state that appears in networks of indistinguishable phase oscillators. Defining a "weak chimera" as a type of invariant set showing pa…
nlin.AO2011★ 19 cited
Desynchronization transitions in nonlinearly coupled phase oscillators
Oleksandr Burylko, Arkady Pikovsky
We consider the nonlinear extension of the Kuramoto model of globally coupled phase oscillators where the phase shift in the coupling function depends on the order parameter. A bif…