Issue |
EPL
Volume 97, Number 1, February 2012
|
|
---|---|---|
Article Number | 10009 | |
Number of page(s) | 6 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/97/10009 | |
Published online | 03 January 2012 |
The oscillating two-cluster chimera state in non-locally coupled phase oscillators
1
School of Science, Beijing University of Posts and Telecommunications - Beijing, 100876, PRC
2
Department of Physics, Beijing Normal University - Beijing, 100875, PRC
Received:
10
October
2011
Accepted:
28
November
2011
We investigate an array of identical phase oscillators non-locally coupled without time delay, and find that a chimera state with two coherent clusters exists which was only reported in delay-coupled systems previously. Moreover, we find that the chimera state is not stationary for any finite number of oscillators. The existence of the two-cluster chimera state and its time-dependent behaviors for finite number of oscillators are confirmed by the theoretical analysis based on the self-consistency treatment and the Ott-Antonsen ansatz.
PACS: 05.45.Xt – Synchronization; coupled oscillators
© EPLA, 2012
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