Distributed delays facilitate amplitude death of coupled oscillators

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, whe...

Full description

Saved in:
Bibliographic Details
Published in:Physical review letters 2003-08, Vol.91 (9), p.094101-094101, Article 094101
Main Author: Atay, Fatihcan M
Format: Article
Language:English
Subjects:
Arrhythmias, Cardiac
Biological Clocks
Memory
Models, Biological
Models, Neurological
Periodicity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.91.094101