TY  - JOUR
A1  - Temirbayev, Amirkhan A.
A1  - Nalibayev, Yerkebulan D.
A1  - Zhanabaev, Zeinulla Zh.
A1  - Ponomarenko, Vladimir I.
A1  - Rosenblum, Michael
T1  - Autonomous and forced dynamics of oscillator ensembles with global nonlinear coupling an experimental study
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - We perform experiments with 72 electronic limit-cycle oscillators, globally coupled via a linear or nonlinear feedback loop. While in the linear case we observe a standard Kuramoto-like synchronization transition, in the nonlinear case, with increase of the coupling strength, we first observe a transition to full synchrony and then a desynchronization transition to a quasiperiodic state. However, in this state the ensemble remains coherent so that the amplitude of the mean field is nonzero, but the frequency of the mean field is larger than frequencies of all oscillators. Next, we analyze effects of common periodic forcing of the linearly or nonlinearly coupled ensemble and demonstrate regimes when the mean field is entrained by the force whereas the oscillators are not.
Y1  - 2013
U6  - https://doi.org/10.1103/PhysRevE.87.062917
SN  - 1539-3755
SN  - 1550-2376
VL  - 87
IS  - 6
PB  - American Physical Society
CY  - College Park
ER  -