33 citations · 96 across the 7 of their papers we have counts for
4 papers · 1 filter
Circular Cumulant Reductions for Macroscopic Dynamics of Kuramoto Ensemble with Multiplicative Intrinsic Noise
Denis S. Goldobin, Anastasiya V. Dolmatova
We demonstrate the application of the circular cumulant approach for thermodynamically large populations of phase elements, where the Ott-Antonsen properties are violated by a mult…
Ott-Antonsen ansatz is the only admissible truncation of a circular cumulant series
Denis S. Goldobin, Anastasiya V. Dolmatova
The cumulant representation is common in classical statistical physics for variables on the real line and the issue of closures of cumulant expansions is well elaborated. The case…
Synchronization of coupled active rotators by common noise
Anastasiya V. Dolmatova, Denis S. Goldobin, Arkady Pikovsky
We study the effect of common noise on coupled active rotators. While such a noise always facilitates synchrony, coupling may be attractive or repulsing. We develop an analytical a…
Synchronization in Kuramoto-Sakaguchi ensembles with competing influence of common noise and global coupling
D. S. Goldobin, A. V. Dolmatova, M. Rosenblum +1
We study the effects of synchronization and desynchronization in ensembles of phase oscillators with the global Kuramoto-Sakaguchi coupling under common noise driving. Since the me…