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nlin.AO2023★ 7 cited
Circular cumulant reductions for macroscopic dynamics of oscillator populations with non-Gaussian noise
Anastasiya V. Dolmatova, Irina V. Tyulkina, Denis S. Goldobin
We employ the circular cumulant approach to construct a low dimensional description of the macroscopic dynamics of populations of phase oscillators (elements) subject to non-Gaussi…
nlin.AO2018★ 18 cited
Interplay of the mechanisms of synchronization by common noise and global coupling for a general class of limit-cycle oscillators
Denis S. Goldobin, Anastasiya V. Dolmatova
We construct an analytical theory of interplay between synchronizing effects by common noise and by global coupling for a general class of smooth limit-cycle oscillators. Both the…