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math.DS2023
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…
math.DS2016★ 46 cited
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.…