TY  - GEN
A1  - Bolotov, Maxim
A1  - Smirnov, Lev A.
A1  - Osipov, Grigory V.
A1  - Pikovskij, Arkadij
T1  - Complex chimera states in a nonlinearly coupled oscillatory medium
T2  - 2018 2nd School on Dynamics of Complex Networks and their Application in Intellectual Robotics (DCNAIR)
N2  - We consider chimera states in a one-dimensional medium of nonlinear nonlocally coupled phase oscillators. Stationary inhomogeneous solutions of the Ott-Antonsen equation for a complex order parameter that correspond to fundamental chimeras have been constructed. Stability calculations reveal that only some of these states are stable. The direct numerical simulation has shown that these structures under certain conditions are transformed to breathing chimera regimes because of the development of instability. Further development of instability leads to turbulent chimeras.
KW  - phase oscillator
KW  - nonlocal coupling
KW  - synchronization
KW  - chimera state
KW  - partial synchronization
KW  - phase lag
KW  - nonlinear dynamics
Y1  - 2018
SN  - 978-1-5386-5818-5
U6  - https://doi.org/10.1109/DCNAIR.2018.8589210
SP  - 17
EP  - 20
PB  - IEEE
CY  - New York
ER  - 
TY  - GEN
A1  - Motter, Adilson E.
A1  - Matias, Manuel A.
A1  - Kurths, Jürgen
A1  - Ott, Edward
T1  - Dynamics on complex networks and applications
T2  - Physica. D, Nonlinear phenomena
KW  - complex systems
KW  - nonlinear dynamics
KW  - statistical physics
Y1  - 2006
U6  - https://doi.org/10.1016/j.physd.2006.09.012
SN  - 0167-2789
VL  - 224
IS  - 1-2
SP  - VII
EP  - VIII
PB  - Elsevier
CY  - Amsterdam
ER  -