Ragged oscillation death in coupled nonidentical oscillators

• The spatial frequencies distribution may deform the domain of oscillation death.
• The oscillation death may be ragged into two or three sections for proper parameter mismatches.
• A theoretical analysis are presented to show the ragged OD based on the coupled nonidentical periodical oscillations.

In this paper, the effect of spatial frequencies distributions on the oscillation death in a ring of coupled nonidentical oscillators is studied. We find that the rearrangement of the spatial frequencies may deform the domain of oscillation death and give rise to a ragged oscillation death in some parameter spaces. The usual critical curves with shape V in the parameter space of frequency-mismatch vs coupling-strength may become the shape W (or even shape WV). This phenomenon has been not only numerically observed in coupled nonidentical nonlinear systems, but also well supported by our theoretical analysis.