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

Clustered chimera states in delay-coupled oscillator systems

Gautam C. Sethia, Abhijit Sen and Fatihcan M. Atay


We investigate chimera states in a ring of identical phase oscillators coupled in a time-delayed and spatially non-local fashion. We find novel clustered chimera states that have spatially distributed phase coherence separated by incoherence with adjacent coherent regions in anti-phase. The existence of such time-delay induced phase clustering is further supported through solutions of a generalized functional self-consistency equation of the mean field. Our results highlight an additional mechanism for cluster formation that may find wider practical applications.

05.45.Xt, 89.75.Kd
pattern formation, synchronization, time delay

Related publications

2008 Repository Open Access
Fatihcan M. Atay, Gautam C. Sethia and Abhijit Sen

Clustered chimera states in delay coupled oscillator systems

In: Physical review letters, 100 (2008) 14, p. 144102