Self-organized quasiperiodicity in oscillator ensembles with global nonlinear coupling.
We describe a transition from fully synchronous periodic oscillations to partially synchronous quasiperiodic dynamics in ensembles of identical oscillators with all-to-all coupling that nonlinearly depends on the generalized order parameters. We present an analytically solvable model that predicts a regime where the mean field does not entrain individual oscillators, but has a frequency incommensurate to theirs. The self-organized onset of quasiperiodicity is illustrated with Landau-Stuart oscillators and a Josephson junction array with a nonlinear coupling.
Rosenblum
Michael
M
Department of Physics, University of Potsdam, Am Neuen Palais 10, D-14469 Potsdam, Germany.
Pikovsky
Arkady
A
D001683:Biological Clocks; D003198:Computer Simulation; D008954:Models, Biological; D008962:Models, Theoretical; D017711:Nonlinear Dynamics