180 citations · 263 across the 5 of their papers we have counts for
5 papers
Time-reversible dynamics in a system of two coupled active rotators
Oleksandr Burylko, Matthias Wolfrum, Serhiy Yanchuk +1
We study two coupled active rotators with Kuramoto-type coupling and focus our attention to specific transitional regimes where the coupling is neither attractive nor repulsive. We…
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…
Identical phase oscillator networks: bifurcations, symmetry and reversibility for generalized coupling
Peter Ashwin, Christian Bick, Oleksandr Burylko
For a system of coupled identical phase oscillators with full permutation symmetry, any broken symmetries in dynamical behaviour must come from spontaneous symmetry breaking, i.e.…
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…
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…