2014/03/31 by Tanmoy Banerjee, Debarati Ghosh · 3 citations
Computer Science · Engineering · Physics and Astronomy · #Mechanical and Optical Resonators #Nonlinear Dynamics and Pattern Formation #Photonic and Optical Devices #nlin.CD #nlin.PS
paper · pdf · doi:10.1103/physreve.89.052912
published as Physical Review E, Vol. 89, No. 5, 052912, 2014 · 5 pages, 5 figures, Final accepted version in Phys.Rev.E (minor language correction)
arxiv created 2014/05/15 · openalex publication_date 2014/05/23 · arxiv updated 2014/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the transition from the amplitude death (AD) to the oscillation death (OD) state in limit-cycle oscillators coupled through mean-field diffusion. We show that this coupling scheme can induce an important transition from AD to OD even in identical limit cycle oscillators. We identify a parameter region where OD and a nontrivial AD (NTAD) state coexist. This NTAD state is unique in comparison with AD owing to the fact that it is created by a subcritical pitchfork bifurcation and parameter mismatch does not support this state, but destroys it. We extend our study to a network of mean-field coupled oscillators to show that the transition scenario is preserved and the oscillators form a two-cluster state.