Role of Coupling Asymmetry in the Fully Disordered Kuramoto Model
arXiv:2408.12988 · doi:10.1103/PhysRevE.110.064214
Abstract
We investigate the dynamics of phase oscillators in the fully disordered Kuramoto model with couplings of defined asymmetry. The mean-field dynamics is reduced to a self-consistent stochastic single-oscillator problem which we analyze perturbatively and by numerical simulations. We elucidate the influence of the asymmetry on the correlation and response function of the system as well as on the distribution of the order parameter. The so-called volcano transition is shown to be robust with respect to a small degree of coupling asymmetry but to disappear when the antisymmetry in the couplings outweighs the symmetry.
References in corpus (4)
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- Nature of the Volcano Transition in the Fully Disordered Kuramoto Model
- Volcano transition in populations of phase oscillators with random nonreciprocal interactions
- Dynamics of oscillator populations with disorder in the coupling phase shifts