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A minimal model of partial synchrony
Pau Clusella Cobero, Antonio Politi, Michael Rosenblum
We show that self-consistent partial synchrony in globally coupled oscillatory ensembles is a general phenomenon. We analyze in detail appearance and stability properties of this s…
Interplay of coupling and common noise at the transition to synchrony in oscillator populations
Anastasiya V. Pimenova, Denis S. Goldobin, Michael Rosenblum +1
We consider a population of globally coupled oscillators driven by common noise. By applying the Ott-Antonsen ansatz and by averaging over the fast oscillations, we obtain analytic…
Dynamics of weakly inhomogeneous oscillator populations: Perturbation theory on top of Watanabe-Strogatz integrability
Vladimir Vlasov, Michael Rosenblum, Arkady Pikovsky
As has been shown by Watanabe and Strogatz (WS) [Phys. Rev. Lett., 70, 2391 (1993)], a population of identical phase oscillators, sine-coupled to a common field, is a partially int…