Distributed Delays Facilitate Amplitude Death of Coupled Oscillators

2003/08/27 by Fatihcan M. Atay · 3 citations
Computer Science · Engineering · Physics and Astronomy · #Molecular Junctions and Nanostructures #Nonlinear Dynamics and Pattern Formation #Semiconductor Lasers and Optical Devices #cond-mat.dis-nn #nlin.AO

paper · pdf · doi:10.1103/physrevlett.91.094101

published as Physical Review Letters 91, 094101 (2003) · 4 pages, 5 figures

openalex publication_date 2003/08/27 · arxiv created 2003/12/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Coupled oscillators are shown to experience amplitude death for a much larger set of parameter values when they are connected with time delays distributed over an interval rather than concentrated at a point. Distributed delays enlarge and merge death islands in the parameter space. Furthermore, when the variance of the distribution is larger than a threshold, the death region becomes unbounded and amplitude death can occur for any average value of delay. These phenomena are observed even with a small spread of delays, for different distribution functions, and an arbitrary number of oscillators.

Citations

• Total and partial amplitude death in networks of diffusively coupled oscillators

Cited by

• Total and partial amplitude death in networks of diffusively coupled oscillators
• Dynamical quorum-sensing in oscillators coupled through an external medium
• Can distributed delays perfectly stabilize dynamical networks?
• Optimal linear stability condition for scalar differential equations with distributed delay

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