Article ID Journal Published Year Pages File Type
758250 Communications in Nonlinear Science and Numerical Simulation 2014 9 Pages PDF
Abstract

•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.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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