TY  - JOUR
A1  - Bordyugov, Grigory
A1  - Pikovskij, Arkadij
A1  - Rosenblum, Michael
T1  - Self-emerging and turbulent chimeras in oscillator chains
N2  - We report on a self-emerging chimera state in a homogeneous chain of nonlocally and nonlinearly coupled oscillators. This chimera, i.e., a state with coexisting regions of complete and partial synchrony, emerges via a supercritical bifurcation from a homogeneous state. We develop a theory of chimera based on the Ott-Antonsen equations for the local complex order parameter. Applying a numerical linear stability analysis, we also describe the instability of the chimera and transition to phase turbulence with persistent patches of synchrony.
Y1  - 2010
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/32088
UR  - http://pre.aps.org/
SN  - 1539-3755
ER  -