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MiS Preprint
23/2003

Distributed delays facilitate amplitude death of coupled oscillators

Fatihcan M. Atay

Abstract

Coupled oscillators are shown to experience amplitude death for a much larger set of parameters 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.

Received:
Mar 11, 2003
Published:
Mar 11, 2003
MSC Codes:
34K20, 92B
PACS:
05.45.+b, 05.45.Xt, 02.30.Ks, 87.10.+e
Keywords:
time delay, stability, oscillator death

Related publications

inJournal
2003 Repository Open Access
Fatihcan M. Atay

Distributed delays facilitate amplitude death of coupled oscillators

In: Physical review letters, 91 (2003) 9, 094101-1 - 094101-4