Collective modes in parametrically excited oscillator arrays
Department of Theoretical Physics, Perm State University
15 Bukireva str., 614990, Perm, Russia
2 Department of Physics, University of Potsdam Postfach 601553, D-14415 Potsdam, Germany
Accepted: 23 April 2002
We consider a population of parametrically excited globally coupled oscillators in a weakly nonlinear state. The instabilities of collective modes lead to a traveling-wave regime, where intensities of oscillations of each oscillator vary periodically in time. For large excitation amplitudes a frozen state with nearly uniform oscillation intensities is observed.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 89.75.Kd – Patterns
© EDP Sciences, 2002