TY  - JOUR
A1  - Bolotov, Maxim I.
A1  - Smirnov, Lev A.
A1  - Osipov, Grigory V.
A1  - Pikovskij, Arkadij
T1  - Simple and complex chimera states in a nonlinearly coupled oscillatory medium
T2  - Chaos : an interdisciplinary journal of nonlinear science
N2  - We consider chimera states in a one-dimensional medium of nonlinear nonlocally coupled phase oscillators. In terms of a local coarse-grained complex order parameter, the problem of finding stationary rotating nonhomogeneous solutions reduces to a third-order ordinary differential equation. This allows finding chimera-type and other inhomogeneous states as periodic orbits of this equation. Stability calculations reveal that only some of these states are stable. We demonstrate that an oscillatory instability leads to a breathing chimera, for which the synchronous domain splits into subdomains with different mean frequencies. Further development of instability leads to turbulent chimeras. Published by AIP Publishing.
Y1  - 2018
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/53177
SN  - 1054-1500
SN  - 1089-7682
VL  - 28
IS  - 4
PB  - American Institute of Physics
CY  - Melville
ER  -