207 citations · 425 across the 7 of their papers we have counts for
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Is the Ott-Antonsen manifold attracting?
Jan R. Engelbrecht, Renato Mirollo
The Kuramoto model is a paradigm for studying oscillator networks with interplay between coupling tending towards synchronization, and heterogeneity in the oscillator population dr…
Dynamics of the Kuramoto-Sakaguchi Oscillator Network with Asymmetric Order Parameter
Bolun Chen, Jan R. Engelbrecht, Renato Mirollo
We study the dynamics of a generalized version of the famous Kuramoto-Sakaguchi coupled oscillator model. In the classic version of this system, all oscillators are governed by the…
Hyperbolic Geometry of Kuramoto Oscillator Networks
Bolun Chen, Jan R. Engelbrecht, Renato Mirollo
Kuramoto oscillator networks have the special property that their trajectories are constrained to lie on the (at most) 3D orbits of the Möbius group acting on the state space …