MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Distributed delays facilitate amplitude death of coupled oscillators

Fatihcan M. Atay


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.

MSC Codes:
34K20, 92B
05.45.+b, 05.45.Xt, 02.30.Ks, 87.10.+e
time delay, stability, oscillator death

Related publications

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