TY  - JOUR
A1  - Lueck, S.
A1  - Pikovskij, Arkadij
T1  - Dynamics of multi-frequency oscillator ensembles with resonant coupling
JF  - Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics
N2  - We study dynamics of populations of resonantly coupled oscillators having different frequencies. Starting from the coupled van der Pol equations we derive the Kuramoto-type phase model for the situation, where the natural frequencies of two interacting subpopulations are in relation 2 : 1. Depending on the parameter of coupling, ensembles can demonstrate fully synchronous clusters, partial synchrony (only one subpopulation synchronizes), or asynchrony in both subpopulations. Theoretical description of the dynamics based on the Watanabe-Strogatz approach is developed.
KW  - Oscillator populations
KW  - Kuramoto model
KW  - Resonant interaction
Y1  - 2011
U6  - https://doi.org/10.1016/j.physleta.2011.06.016
SN  - 0375-9601
VL  - 375
IS  - 28-29
SP  - 2714
EP  - 2719
PB  - Elsevier
CY  - Amsterdam
ER  -